Faster access than browser!
32 relations: American Mathematical Society, Bifurcation diagram, Bifurcation theory, Brady Haran, Calculus, Chaos theory, Complex plane, Complex quadratic polynomial, Dynamical system, E (mathematical constant), Feigenbaum function, Geometry, Limit of a sequence, List of chaotic maps, Logistic map, Mandelbrot set, Map (mathematics), Mathematical constant, Mathematics, Maxima and minima, Mitchell Feigenbaum, Parameter, Period-doubling bifurcation, Pi, Quadratic function, Ratio, Real line, Tine (structural), Transcendental number, Universality (dynamical systems), University of Melbourne, University of Nottingham.
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
New!!: Feigenbaum constants and American Mathematical Society · See more »
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.
New!!: Feigenbaum constants and Bifurcation diagram · See more »
Bifurcation theory
Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family, such as the integral curves of a family of vector fields, and the solutions of a family of differential equations.
New!!: Feigenbaum constants and Bifurcation theory · See more »
Brady Haran
Brady John Haran (born 18 June 1976) is an Australian-born British independent filmmaker and video journalist who is known for his educational videos and documentary films produced for BBC News and his YouTube channels, the most notable being Periodic Videos and Numberphile.
New!!: Feigenbaum constants and Brady Haran · See more »
Calculus
Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
New!!: Feigenbaum constants and Calculus · See more »
Chaos theory
Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions.
New!!: Feigenbaum constants and Chaos theory · See more »
Complex plane
In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.
New!!: Feigenbaum constants and Complex plane · See more »
Complex quadratic polynomial
A complex quadratic polynomial is a quadratic polynomial whose coefficients and variable are complex numbers.
New!!: Feigenbaum constants and Complex quadratic polynomial · See more »
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.
New!!: Feigenbaum constants and Dynamical system · See more »
E (mathematical constant)
The number is a mathematical constant, approximately equal to 2.71828, which appears in many different settings throughout mathematics.
New!!: Feigenbaum constants and E (mathematical constant) · See more »
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.
New!!: Feigenbaum constants and Feigenbaum function · See more »
Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
New!!: Feigenbaum constants and Geometry · See more »
Limit of a sequence
As the positive integer n becomes larger and larger, the value n\cdot \sin\bigg(\frac1\bigg) becomes arbitrarily close to 1.
New!!: Feigenbaum constants and Limit of a sequence · See more »
List of chaotic maps
In mathematics, a chaotic map is a map (.
New!!: Feigenbaum constants and List of chaotic maps · See more »
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.
New!!: Feigenbaum constants and Logistic map · See more »
Mandelbrot set
The Mandelbrot set is the set of complex numbers c for which the function f_c(z).
New!!: Feigenbaum constants and Mandelbrot set · See more »
Map (mathematics)
In mathematics, the term mapping, sometimes shortened to map, refers to either a function, often with some sort of special structure, or a morphism in category theory, which generalizes the idea of a function.
New!!: Feigenbaum constants and Map (mathematics) · See more »
Mathematical constant
A mathematical constant is a special number that is "significantly interesting in some way".
New!!: Feigenbaum constants and Mathematical constant · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Feigenbaum constants and Mathematics · See more »
Maxima and minima
In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema).
New!!: Feigenbaum constants and Maxima and minima · See more »
Mitchell Feigenbaum
Mitchell Jay Feigenbaum (born December 19, 1944) is a mathematical physicist whose pioneering studies in chaos theory led to the discovery of the Feigenbaum constants.
New!!: Feigenbaum constants and Mitchell Feigenbaum · See more »
Parameter
A parameter (from the Ancient Greek παρά, para: "beside", "subsidiary"; and μέτρον, metron: "measure"), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when identifying the system, or when evaluating its performance, status, condition, etc.
New!!: Feigenbaum constants and Parameter · See more »
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.
New!!: Feigenbaum constants and Period-doubling bifurcation · See more »
Pi
The number is a mathematical constant.
New!!: Feigenbaum constants and Pi · See more »
Quadratic function
In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which the highest-degree term is of the second degree.
New!!: Feigenbaum constants and Quadratic function · See more »
Ratio
In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.
New!!: Feigenbaum constants and Ratio · See more »
Real line
In mathematics, the real line, or real number line is the line whose points are the real numbers.
New!!: Feigenbaum constants and Real line · See more »
Tine (structural)
Tines or prongs or teeth are parallel or branching spikes forming parts of a tool or natural object.
New!!: Feigenbaum constants and Tine (structural) · See more »
Transcendental number
In mathematics, a transcendental number is a real or complex number that is not algebraic—that is, it is not a root of a nonzero polynomial equation with integer (or, equivalently, rational) coefficients.
New!!: Feigenbaum constants and Transcendental number · See more »
Universality (dynamical systems)
In statistical mechanics, universality is the observation that there are properties for a large class of systems that are independent of the dynamical details of the system.
New!!: Feigenbaum constants and Universality (dynamical systems) · See more »
University of Melbourne
The University of Melbourne is a public research university located in Melbourne, Australia.
New!!: Feigenbaum constants and University of Melbourne · See more »
University of Nottingham
The University of Nottingham is a public research university in Nottingham, United Kingdom.
New!!: Feigenbaum constants and University of Nottingham · See more »
Redirects here:
Alpha (math), Feigenbaum constant, Feigenbaum number, Feigenbaum's Constant, Feigenbaum's constant, Feigenbaum's delta, Feigenbaum's number, First Feigenbaum constant, Logistic constant, Second Feigenbaum constant.
References
[1] https://en.wikipedia.org/wiki/Feigenbaum_constants
