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Attractor

Index Attractor

In the mathematical field of dynamical systems, an attractor is a set of numerical values toward which a system tends to evolve, for a wide variety of starting conditions of the system. [1]

161 relations: Aizerman's conjecture, Alexander Grothendieck, Aperiodic (disambiguation), Asymptotology, Asynchronous cellular automaton, Atoms in molecules, Attraction, Attractor (disambiguation), Attractor network, Autonomous agency theory, Basin, Bernd Noack, Bernoulli scheme, Bifurcation diagram, Boolean network, Branched manifold, Bursting, Cell fate determination, Cellular differentiation, Centerville High School, Central limit theorem, Chaos game, Chaos theory, Chemical reaction network theory, Chua's circuit, Ciprian Foias, Cognitive model, Collage theorem, Competitive Lotka–Volterra equations, Complexor, Conley index theory, Control of chaos, Convergent cross mapping, Crisis, Crisis (dynamical systems), Critical phenomena, Cybernetical physics, Cybernetics, Cyclic model, David Ruelle, Desmond Paul Henry, Difference-map algorithm, Dynamic approach to second language development, Dynamical system, Dynamical system (definition), Edward Norton Lorenz, Epigenetics, Epistemic theory of miracles, EPS Statistical and Nonlinear Physics Prize, Escaping set, ..., Estill Voice Training, Evolutionary game theory, Evolutionary invasion analysis, Feigenbaum function, Filled Julia set, Fixed point (mathematics), Floris Takens, Fractal, Fractal art, Fractal dimension, Fractal lake, Fractal-generating software, From Here to Infinity (book), Futurist, Gene regulatory network, Generalized Lotka–Volterra equation, Groundhog Technologies, Hénon map, Hidden oscillation, Hutchinson operator, Ikeda map, Index of fractal-related articles, Inertial manifold, Initial condition, Intermittency, Isolating neighborhood, Iterative method, Jacob Palis, Jacqueline McGlade, Jim Bright, John Milnor, Kalman's conjecture, Kapitza's pendulum, Kaplan–Yorke conjecture, Knowledge entrepreneurship, Lagrangian coherent structure, Lakes of Wada, Langton's ant, LGP-30, Limit cycle, Limit set, List of climate scientists, List of dynamical systems and differential equations topics, List of people considered father or mother of a scientific field, Local optimum, Logistic map, Lorenz system, Low-dimensional chaos in stellar pulsations, Lyapunov exponent, Lyapunov stability, Mandelbrot set, Marcelo Viana, Metamagical Themas, Multiscroll attractor, Nervous system, Nested radical, Newton's method, Organizing principle, Oscillation, Path dependence, Patterns in nature, Paulien Hogeweg, Period-doubling bifurcation, Periodic point, Person-centered systems theory, Peter Grassberger, Phase portrait, Poincaré–Bendixson theorem, Power law, Predispositioning theory, Psychodynamics, Random dynamical system, Rössler attractor, Repeller, Reversible cellular automaton, Reynolds number, Reynolds-averaged Navier–Stokes equations, Ricci flow, Risk dominance, Scale invariance, Schoenflies problem, Self-organization, Self-organization in cybernetics, Self-organized criticality, Self-similar process, Singular spectrum analysis, Solenoid (mathematics), Stable distribution, Stable manifold, Steady state, Strange nonchaotic attractor, Structural stability, Systems theory, Takens's theorem, Tent map, Terence McKenna, Theory of everything, Theta model, Thomas' cyclically symmetric attractor, Time reversibility, Timeline of mathematics, Topological dynamics, Transformation optics, Trophic function, Tweedie distribution, Uncertainty exponent, Valentin Afraimovich, West Hartford, Connecticut, XScreenSaver, Zubov's method, 2012 phenomenon. Expand index (111 more) »

Aizerman's conjecture

In nonlinear control, Aizerman's conjecture or Aizerman problem states that a linear system in feedback with a sector nonlinearity would be stable if the linear system is stable for any linear gain of the sector.

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Alexander Grothendieck

Alexander Grothendieck (28 March 1928 – 13 November 2014) was a German-born French mathematician who became the leading figure in the creation of modern algebraic geometry.

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Aperiodic (disambiguation)

Aperiodic means non-periodic.

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Asymptotology

Asymptotology has been defined as “the art of dealing with applied mathematical systems in limiting cases” as well as “the science about the synthesis of simplicity and exactness by means of localization.

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Asynchronous cellular automaton

Cellular automata, as with other multi-agent system models, usually treat time as discrete and state updates as occurring synchronously.

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Atoms in molecules

The quantum theory of atoms in molecules (QTAIM) is a model of molecular and condensed matter electronic systems (such as crystals) in which the principal objects of molecular structure - atoms and bonds - are natural expressions of a system's observable electron density distribution function.

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Attraction

Attraction may refer to.

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Attractor (disambiguation)

Attractor may refer to.

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Attractor network

An attractor network is a type of recurrent dynamical network, that evolves toward a stable pattern over time.

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Autonomous agency theory

Autonomous agency theory (AAT) is a viable system theory (VST) which models autonomous social complex adaptive systems.

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Basin

Basin may refer to.

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Bernd Noack

Bernd Rainer Noack (born 17 February 1966, Korbach, Germany) is a German physicist.

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Bernoulli scheme

In mathematics, the Bernoulli scheme or Bernoulli shift is a generalization of the Bernoulli process to more than two possible outcomes.

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Bifurcation diagram

In mathematics, particularly in dynamical systems, a bifurcation diagram shows the values visited or approached asymptotically (fixed points, periodic orbits, or chaotic attractors) of a system as a function of a bifurcation parameter in the system.

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Boolean network

A Boolean network consists of a discrete set of Boolean variables each of which has a Boolean function (possibly different for each variable) assigned to it which takes inputs from a subset of those variables and output that determines the state of the variable it is assigned to.

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Branched manifold

In mathematics, a branched manifold is a generalization of a differentiable manifold which may have singularities of very restricted type and admits a well-defined tangent space at each point.

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Bursting

Bursting, or burst firing, is an extremely diverse general phenomenon of the activation patterns of neurons in the central nervous system and spinal cord where periods of rapid action potential spiking are followed by G0 phase quiescent periods.

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Cell fate determination

Within the field of developmental biology one goal is to understand how a particular cell (or embryo) develops into the final cell type (or organism), essentially how a cell's fate is determined.

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Cellular differentiation

In developmental biology, cellular differentiation is the process where a cell changes from one cell type to another.

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Centerville High School

Centerville High School is a public school of secondary education for grades 9–12 located in Centerville, Ohio, situated ten miles south of Dayton.

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Central limit theorem

In probability theory, the central limit theorem (CLT) establishes that, in some situations, when independent random variables are added, their properly normalized sum tends toward a normal distribution (informally a "bell curve") even if the original variables themselves are not normally distributed.

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Chaos game

In mathematics, the term chaos game originally referred to a method of creating a fractal, using a polygon and an initial point selected at random inside it.

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Chaos theory

Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions.

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Chemical reaction network theory

Chemical reaction network theory is an area of applied mathematics that attempts to model the behaviour of real world chemical systems.

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Chua's circuit

Chua's circuit (also known as a Chua circuit) is a simple electronic circuit that exhibits classic chaotic behavior.

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Ciprian Foias

Ciprian Ilie Foiaș (born 20 July 1933) is a Romanian mathematician.

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Cognitive model

A cognitive model is an approximation to animal cognitive processes (predominantly human) for the purposes of comprehension and prediction.

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Collage theorem

In mathematics, the collage theorem characterises an iterated function system whose attractor is close, relative to the Hausdorff metric, to a given set.

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Competitive Lotka–Volterra equations

The competitive Lotka–Volterra equations are a simple model of the population dynamics of species competing for some common resource.

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Complexor

The word complexor was coined by Marcial Losada (Losada & Heaphy, 2004), derived from the words "complex order," to refer to chaotic attractors that are strange and thus have fractal structure (in contrast to fixed point or limit cycle attractors).

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Conley index theory

In dynamical systems theory, Conley index theory, named after Charles Conley, analyzes topological structure of invariant sets of diffeomorphisms and of smooth flows.

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Control of chaos

In lab experiments that study chaos theory, approaches designed to control chaos are based on certain observed system behaviors.

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Convergent cross mapping

Convergent cross mapping (CCM) is a statistical test for a cause-and-effect relationship between two time series variables that, like the Granger causality test, seeks to resolve the problem that correlation does not imply causation.

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Crisis

A crisis (from the Greek κρίσις - krisis; plural: "crises"; adjectival form: "critical") is any event that is going (or is expected) to lead to an unstable and dangerous situation affecting an individual, group, community, or whole society.

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Crisis (dynamical systems)

In applied mathematics and Astrodynamics, in the theory of dynamical systems, a crisis is the sudden appearance or disappearance of a strange attractor as the parameters of a dynamical system are varied.

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Critical phenomena

In physics, critical phenomena is the collective name associated with the physics of critical points.

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Cybernetical physics

Cybernetical physics is a scientific area on the border of cybernetics and physics which studies physical systems with cybernetical methods.

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Cybernetics

Cybernetics is a transdisciplinary approach for exploring regulatory systems—their structures, constraints, and possibilities.

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Cyclic model

A cyclic model (or oscillating model) is any of several cosmological models in which the universe follows infinite, or indefinite, self-sustaining cycles.

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David Ruelle

David Pierre Ruelle (born 20 August 1935) is a Belgian-French mathematical physicist.

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Desmond Paul Henry

Desmond Paul Henry (1921–2004) was a Manchester University Lecturer and Reader in Philosophy (1949–82).

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Difference-map algorithm

The difference-map algorithm is a search algorithm for general constraint satisfaction problems.

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Dynamic approach to second language development

Dynamic approach to second language development is a perspective on second language acquisition.

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Dynamical system

In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space.

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Dynamical system (definition)

The dynamical system concept is a mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space.

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Edward Norton Lorenz

Edward Norton Lorenz (May 23, 1917 – April 16, 2008) was an American mathematician, meteorologist, and a pioneer of chaos theory.

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Epigenetics

Epigenetics is the study of heritable changes in gene function that do not involve changes in the DNA sequence.

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Epistemic theory of miracles

The epistemic theory of miracles is the name given by the philosopher William Vallicella to the theory of miraculous events given by St. Augustine and Baruch Spinoza.

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EPS Statistical and Nonlinear Physics Prize

The EPS Statistical and Nonlinear Physics Prize is an annual award by the European Physical Society (EPS) given since 2017.

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Escaping set

In mathematics, and particularly complex dynamics, the escaping set of an entire function ƒ consists of all points that tend to infinity under the repeated application of ƒ. That is, a complex number z_0\in\mathbb belongs to the escaping set if and only if the sequence defined by z_.

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Estill Voice Training

Estill Voice Training (often abbreviated EVT) is a programme for developing vocal skills based on deconstructing the process of vocal production into control of specific structures in the vocal mechanism.

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Evolutionary game theory

Evolutionary game theory (EGT) is the application of game theory to evolving populations in biology.

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Evolutionary invasion analysis

Evolutionary invasion analysis, also known as adaptive dynamics, is a set of mathematical modeling techniques that use differential equations to study the long-term evolution of traits in asexually reproducing populations.

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Feigenbaum function

In the study of dynamical systems the term Feigenbaum function has been used to describe two different functions introduced by the physicist Mitchell Feigenbaum.

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Filled Julia set

The filled-in Julia set \ K(f) of a polynomial \ f is.

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Fixed point (mathematics)

In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function.

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Floris Takens

Floris Takens (November 12, 1940 – June 20, 2010) was a Dutch mathematician known for contributions to the theory of chaotic dynamical systems.

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Fractal

In mathematics, a fractal is an abstract object used to describe and simulate naturally occurring objects.

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Fractal art

Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still images, animations, and media.

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Fractal dimension

In mathematics, more specifically in fractal geometry, a fractal dimension is a ratio providing a statistical index of complexity comparing how detail in a pattern (strictly speaking, a fractal pattern) changes with the scale at which it is measured.

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Fractal lake

In geometry, and less formally, in most fractal-generating software, the fractal lake of an 'orbits' (or escape-time) fractal, is the part of the complex plane for which the orbit (a sequence of complex numbers) that is generated by iterating a given function does not "escape" from the unit circle.

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Fractal-generating software

Fractal-generating software is any type of graphics software that generates images of fractals.

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From Here to Infinity (book)

From Here to Infinity: A Guide to Today's Mathematics, a 1996 book by mathematician and science popularizer Ian Stewart, is a guide to modern mathematics for the general reader.

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Futurist

Futurists or futurologists are scientists and social scientists whose specialty is futurology or the attempt to systematically explore predictions and possibilities about the future and how they can emerge from the present, whether that of human society in particular or of life on Earth in general.

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Gene regulatory network

A gene (or genetic) regulatory network (GRN) is a collection of molecular regulators that interact with each other and with other substances in the cell to govern the gene expression levels of mRNA and proteins.

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Generalized Lotka–Volterra equation

The generalized Lotka–Volterra equations are a set of equations which are more general than either the competitive or predator–prey examples of Lotka–Volterra types.

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Groundhog Technologies

Groundhog Technologies is a privately held company founded in 2001 and is headquartered in Cambridge, Massachusetts, USA.

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Hénon map

The Hénon map is a discrete-time dynamical system.

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Hidden oscillation

An oscillation in a dynamical system can be easily localized numerically if initial conditions from its open neighborhood lead to long-run behavior that approaches the oscillation.

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Hutchinson operator

In mathematics, in the study of fractals, a Hutchinson operator is the collective action of a set of contractions, called an iterated function system.

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Ikeda map

In physics and mathematics, the Ikeda map is a discrete-time dynamical system given by the complex map The original map was proposed first by Ikeda as a model of light going around across a nonlinear optical resonator (ring cavity containing a nonlinear dielectric medium) in a more general form.

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Index of fractal-related articles

This is a list of fractal topics, by Wikipedia page, See also list of dynamical systems and differential equations topics.

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Inertial manifold

In mathematics, inertial manifolds are concerned with the long term behavior of the solutions of dissipative dynamical systems.

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Initial condition

In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t.

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Intermittency

In dynamical systems, intermittency is the irregular alternation of phases of apparently periodic and chaotic dynamics (Pomeau–Manneville dynamics), or different forms of chaotic dynamics (crisis-induced intermittency).

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Isolating neighborhood

In the theory of dynamical systems, an isolating neighborhood is a compact set in the phase space of an invertible dynamical system with the property that any orbit contained entirely in the set belongs to its interior.

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Iterative method

In computational mathematics, an iterative method is a mathematical procedure that uses an initial guess to generate a sequence of improving approximate solutions for a class of problems, in which the n-th approximation is derived from the previous ones.

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Jacob Palis

Jacob Palis Jr. (born 15 March 1940) is a Brazilian mathematician and professor.

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Jacqueline McGlade

Jacqueline Myriam McGlade (born May 30, 1955) is a British-born Canadian marine biologist and environmental informatics professor.

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Jim Bright

Jim Bright is an Australian organisational psychologist and Professor of Career Education and Development at Australian Catholic University (ACU) National.

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John Milnor

John Willard Milnor (born February 20, 1931) is an American mathematician known for his work in differential topology, K-theory and dynamical systems.

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Kalman's conjecture

Kalman's conjecture or Kalman problem is a disproved conjecture on absolute stability of nonlinear control system with one scalar nonlinearity, which belongs to the sector of linear stability.

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Kapitza's pendulum

Kapitza's pendulum or Kapitza pendulum is a rigid pendulum in which the pivot point vibrates in a vertical direction, up and down.

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Kaplan–Yorke conjecture

In applied mathematics, the Kaplan–Yorke conjecture concerns the dimension of an attractor, using Lyapunov exponents.

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Knowledge entrepreneurship

Knowledge entrepreneurship describes the ability to recognize or create an opportunity and take action aimed at realizing an innovative knowledge practice or product.

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Lagrangian coherent structure

Lagrangian coherent structures (LCSs) are distinguished surfaces of trajectories in a dynamical system that exert a major influence on nearby trajectories over a time interval of interest.

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Lakes of Wada

In mathematics, the are three disjoint connected open sets of the plane or open unit square with the counterintuitive property that they all have the same boundary.

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Langton's ant

Langton's ant is a two-dimensional universal Turing machine with a very simple set of rules but complex emergent behavior.

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LGP-30

The LGP-30, standing for Librascope General Purpose and then Librascope General Precision, was an early off-the-shelf computer.

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Limit cycle

In mathematics, in the study of dynamical systems with two-dimensional phase space, a limit cycle is a closed trajectory in phase space having the property that at least one other trajectory spirals into it either as time approaches infinity or as time approaches negative infinity.

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Limit set

In mathematics, especially in the study of dynamical systems, a limit set is the state a dynamical system reaches after an infinite amount of time has passed, by either going forward or backwards in time.

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List of climate scientists

This list of climate scientists contains famous or otherwise notable persons who have contributed to the study of climate science.

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List of dynamical systems and differential equations topics

This is a list of dynamical system and differential equation topics, by Wikipedia page.

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List of people considered father or mother of a scientific field

The following is a list of people who are considered a "father" or "mother" (or "founding father" or "founding mother") of a scientific field.

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Local optimum

In applied mathematics and computer science, a local optimum of an optimization problem is a solution that is optimal (either maximal or minimal) within a neighboring set of candidate solutions.

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Logistic map

The logistic map is a polynomial mapping (equivalently, recurrence relation) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations.

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Lorenz system

The Lorenz system is a system of ordinary differential equations first studied by Edward Lorenz.

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Low-dimensional chaos in stellar pulsations

Low-dimensional chaos in stellar pulsations is the current interpretation of an established phenomenon.

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Lyapunov exponent

In mathematics the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation of infinitesimally close trajectories.

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Lyapunov stability

Various types of stability may be discussed for the solutions of differential equations or difference equations describing dynamical systems.

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Mandelbrot set

The Mandelbrot set is the set of complex numbers c for which the function f_c(z).

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Marcelo Viana

Marcelo Miranda Viana da Silva (born 4 March 1962) is a Brazilian mathematician working in dynamical systems theory.

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Metamagical Themas

Metamagical Themas is an eclectic collection of articles that Douglas Hofstadter wrote for the popular science magazine Scientific American during the early 1980s.

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Multiscroll attractor

In the mathematics of dynamical systems, the double-scroll attractor (sometimes known as Chua's attractor) is a strange attractor observed from a physical electronic chaotic circuit (generally, Chua's circuit) with a single nonlinear resistor (see Chua's Diode).

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Nervous system

The nervous system is the part of an animal that coordinates its actions by transmitting signals to and from different parts of its body.

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Nested radical

In algebra, a nested radical is a radical expression (one containing a square root sign, cube root sign, etc.) that contains (nests) another radical expression.

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Newton's method

In numerical analysis, Newton's method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function.

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Organizing principle

An organizing principle is a core assumption from which everything else by proximity can derive a classification or a value.

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Oscillation

Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states.

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Path dependence

Path dependence explains how the set of decisions one faces for any given circumstance is limited by the decisions one has made in the past or by the events that one has experienced, even though past circumstances may no longer be relevant.

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Patterns in nature

Patterns in nature are visible regularities of form found in the natural world.

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Paulien Hogeweg

Paulien Hogeweg (born 1943) is a Dutch theoretical biologist and complex systems researcher studying biological systems as dynamic information processing systems at many interconnected levels.

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Period-doubling bifurcation

In mathematics, a period doubling bifurcation in a discrete dynamical system is a bifurcation in which a slight change in a parameter value in the system's equations leads to the system switching to a new behavior with twice the period of the original system.

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Periodic point

In mathematics, in the study of iterated functions and dynamical systems, a periodic point of a function is a point which the system returns to after a certain number of function iterations or a certain amount of time.

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Person-centered systems theory

The person-centered systems theory (German: Personzentrierte Systemtheorie) is a multi-level concept for the understanding of processes in psychotherapy, counseling, coaching and clinical psychology under consideration of the interrelation of different levels – namely body, psyche, interpersonal and social processes.

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Peter Grassberger

Peter Grassberger (born May 17, 1940) is a professor well known for his work in statistical and particle physics.

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Phase portrait

A phase portrait is a geometric representation of the trajectories of a dynamical system in the phase plane.

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Poincaré–Bendixson theorem

In mathematics, the Poincaré–Bendixson theorem is a statement about the long-term behaviour of orbits of continuous dynamical systems on the plane, cylinder, or two-sphere.

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Power law

In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a proportional relative change in the other quantity, independent of the initial size of those quantities: one quantity varies as a power of another.

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Predispositioning theory

Predispositioning theory, in the field of decision theory and systems theory, is a theory focusing on the stages between a complete order and a complete disorder.

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Psychodynamics

Psychodynamics, also known as psychodynamic psychology, in its broadest sense, is an approach to psychology that emphasizes systematic study of the psychological forces that underlie human behavior, feelings, and emotions and how they might relate to early experience.

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Random dynamical system

In the mathematical field of dynamical systems, a random dynamical system is a dynamical system in which the equations of motion have an element of randomness to them.

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Rössler attractor

The Rössler attractor is the attractor for the Rössler system, a system of three non-linear ordinary differential equations originally studied by Otto Rössler.

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Repeller

Repeller may refer to.

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Reversible cellular automaton

A reversible cellular automaton is a cellular automaton in which every configuration has a unique predecessor.

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Reynolds number

The Reynolds number is an important dimensionless quantity in fluid mechanics used to help predict flow patterns in different fluid flow situations.

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Reynolds-averaged Navier–Stokes equations

The Reynolds-averaged Navier–Stokes equations (or RANS equations) are time-averaged equations of motion for fluid flow.

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Ricci flow

In differential geometry, the Ricci flow (Italian) is an intrinsic geometric flow.

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Risk dominance

Risk dominance and payoff dominance are two related refinements of the Nash equilibrium (NE) solution concept in game theory, defined by John Harsanyi and Reinhard Selten.

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Scale invariance

In physics, mathematics, statistics, and economics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor, thus represent a universality.

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Schoenflies problem

In mathematics, the Schoenflies problem or Schoenflies theorem, of geometric topology is a sharpening of the Jordan curve theorem by Arthur Schoenflies.

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Self-organization

Self-organization, also called (in the social sciences) spontaneous order, is a process where some form of overall order arises from local interactions between parts of an initially disordered system.

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Self-organization in cybernetics

Self-organization, a process where some form of overall order arises out of the local interactions between parts of an initially disordered system, was discovered in cybernetics by William Ross Ashby in 1947.

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Self-organized criticality

In physics, self-organized criticality (SOC) is a property of dynamical systems that have a critical point as an attractor.

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Self-similar process

Self-similar processes are types of stochastic processes that exhibit the phenomenon of self-similarity.

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Singular spectrum analysis

In time series analysis, singular spectrum analysis (SSA) is a nonparametric spectral estimation method.

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Solenoid (mathematics)

In mathematics, a solenoid is a compact connected topological space (i.e. a continuum) that may be obtained as the inverse limit of an inverse system of topological groups and continuous homomorphisms where each Si is a circle and fi is the map that uniformly wraps the circle Si+1 ni times (ni ≥ 2) around the circle Si.

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Stable distribution

No description.

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Stable manifold

In mathematics, and in particular the study of dynamical systems, the idea of stable and unstable sets or stable and unstable manifolds give a formal mathematical definition to the general notions embodied in the idea of an attractor or repellor.

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Steady state

In systems theory, a system or a process is in a steady state if the variables (called state variables) which define the behavior of the system or the process are unchanging in time.

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Strange nonchaotic attractor

In mathematics, a strange nonchaotic attractor (SNA) is a form of attractor, which while converging to a limit, is strange, because it is not piecewise differentiable, and also non-chaotic, in that its Lyapunov exponents are non-positive.

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Structural stability

In mathematics, structural stability is a fundamental property of a dynamical system which means that the qualitative behavior of the trajectories is unaffected by small perturbations (to be exact ''C''1-small perturbations).

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Systems theory

Systems theory is the interdisciplinary study of systems.

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Takens's theorem

In the study of dynamical systems, a delay embedding theorem gives the conditions under which a chaotic dynamical system can be reconstructed from a sequence of observations of the state of a dynamical system.

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Tent map

In mathematics, the tent map with parameter μ is the real-valued function fμ defined by the name being due to the tent-like shape of the graph of fμ.

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Terence McKenna

Terence Kemp McKenna (November 16, 1946 – April 3, 2000) was an American ethnobotanist, mystic, psychonaut, lecturer, author, and an advocate for the responsible use of naturally occurring psychedelic plants.

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Theory of everything

A theory of everything (ToE), final theory, ultimate theory, or master theory is a hypothetical single, all-encompassing, coherent theoretical framework of physics that fully explains and links together all physical aspects of the universe.

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Theta model

The theta model, or Ermentrout–Kopell canonical model, is a biological neuron model originally developed to model neurons in the animal Aplysia, and later used in various fields of computational neuroscience.

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Thomas' cyclically symmetric attractor

In the dynamical systems theory, Thomas' cyclically symmetric attractor is a 3D strange attractor originally proposed by René Thomas.

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Time reversibility

A mathematical or physical process is time-reversible if the dynamics of the process remain well-defined when the sequence of time-states is reversed.

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Timeline of mathematics

This is a timeline of pure and applied mathematics history.

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Topological dynamics

In mathematics, topological dynamics is a branch of the theory of dynamical systems in which qualitative, asymptotic properties of dynamical systems are studied from the viewpoint of general topology.

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Transformation optics

Transformation optics applies metamaterials to produce spatial variations, derived from coordinate transformations, which can direct chosen bandwidths of electromagnetic radiation.

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Trophic function

A trophic function was first introduced in the differential equations of the Kolmogorov predator–prey model.

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Tweedie distribution

In probability and statistics, the Tweedie distributions are a family of probability distributions which include the purely continuous normal and gamma distributions, the purely discrete scaled Poisson distribution, and the class of mixed compound Poisson–gamma distributions which have positive mass at zero, but are otherwise continuous.

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Uncertainty exponent

In mathematics, the uncertainty exponent is a method of measuring the fractal dimension of a basin boundary.

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Valentin Afraimovich

Valentin Afraimovich (Валентин Сендерович Афраймович, 2 April 1945, Kirov, Kirov Oblast, USSR – 21 February 2018, Nizhny Novgorod, Russia) was a Soviet, Russian and Mexican mathematician.

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West Hartford, Connecticut

West Hartford is an affluent suburb in Hartford County, Connecticut, United States, west of downtown Hartford.

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XScreenSaver

XScreenSaver is a collection of 221 free screensavers for Unix, macOS, iOS and Android.

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Zubov's method

Zubov's method is a technique for computing the basin of attraction for a set of ordinary differential equations (a dynamical system).

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2012 phenomenon

The 2012 phenomenon was a range of eschatological beliefs that cataclysmic or otherwise transformative events would occur on or around 21 December 2012.

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Attraction basin, Attractor basin, Attractor set, Basin of attraction, Basins of attraction, Chaotic attractor, Periodic attractor, Periodic point attractor, Point attractor, Repellor, Stable attractor, Strange attractor, Strange attractors.

References

[1] https://en.wikipedia.org/wiki/Attractor

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