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Chaos theory and Self-organized criticality

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Chaos theory and Self-organized criticality

Chaos theory vs. Self-organized criticality

Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions. In physics, self-organized criticality (SOC) is a property of dynamical systems that have a critical point as an attractor.

Similarities between Chaos theory and Self-organized criticality

Chaos theory and Self-organized criticality have 35 things in common (in Unionpedia): Abelian sandpile model, Aftershock, Attractor, Benoit Mandelbrot, Chao Tang, Complex system, Complexity, Dynamical system, Earthquake, Ecology, Economics, Econophysics, Emergence, Epidemic, Evolution, Financial market, Fractal, Gutenberg–Richter law, Ilya Prigogine, Information theory, Kurt Wiesenfeld, Landslide, Niles Eldredge, Nonlinear system, Per Bak, Physical Review Letters, Physics, Physics Letters, Punctuated equilibrium, Scale invariance, ..., Self-organization, Sociology, Solar flare, Stephen Jay Gould, Wildfire. Expand index (5 more) »

Abelian sandpile model

The Abelian sandpile model, also known as the Bak–Tang–Wiesenfeld model, was the first discovered example of a dynamical system displaying self-organized criticality.

Abelian sandpile model and Chaos theory · Abelian sandpile model and Self-organized criticality · See more »

Aftershock

An aftershock is a smaller earthquake that occurs after a previous large earthquake, in the same area of the main shock.

Aftershock and Chaos theory · Aftershock and Self-organized criticality · See more »

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.

Attractor and Chaos theory · Attractor and Self-organized criticality · See more »

Benoit Mandelbrot

Benoit B.  Mandelbrot  (20 November 1924 – 14 October 2010) was a Polish-born, French and American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life".

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Chao Tang

Chao Tang (汤超) is a Chair Professor of Physics and Systems Biology at Peking University.

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Complex system

A complex system is a system composed of many components which may interact with each other.

Chaos theory and Complex system · Complex system and Self-organized criticality · See more »

Complexity

Complexity characterises the behaviour of a system or model whose components interact in multiple ways and follow local rules, meaning there is no reasonable higher instruction to define the various possible interactions.

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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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Earthquake

An earthquake (also known as a quake, tremor or temblor) is the shaking of the surface of the Earth, resulting from the sudden release of energy in the Earth's lithosphere that creates seismic waves.

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Ecology

Ecology (from οἶκος, "house", or "environment"; -λογία, "study of") is the branch of biology which studies the interactions among organisms and their environment.

Chaos theory and Ecology · Ecology and Self-organized criticality · See more »

Economics

Economics is the social science that studies the production, distribution, and consumption of goods and services.

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Econophysics

Econophysics is an interdisciplinary research field, applying theories and methods originally developed by physicists in order to solve problems in economics, usually those including uncertainty or stochastic processes and nonlinear dynamics.

Chaos theory and Econophysics · Econophysics and Self-organized criticality · See more »

Emergence

In philosophy, systems theory, science, and art, emergence occurs when "the whole is greater than the sum of the parts," meaning the whole has properties its parts do not have.

Chaos theory and Emergence · Emergence and Self-organized criticality · See more »

Epidemic

An epidemic (from Greek ἐπί epi "upon or above" and δῆμος demos "people") is the rapid spread of infectious disease to a large number of people in a given population within a short period of time, usually two weeks or less.

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Evolution

Evolution is change in the heritable characteristics of biological populations over successive generations.

Chaos theory and Evolution · Evolution and Self-organized criticality · See more »

Financial market

A financial market is a market in which people trade financial securities and derivatives such as futures and options at low transaction costs.

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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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Gutenberg–Richter law

In seismology, the Gutenberg–Richter law (GR law) expresses the relationship between the magnitude and total number of earthquakes in any given region and time period of at least that magnitude.

Chaos theory and Gutenberg–Richter law · Gutenberg–Richter law and Self-organized criticality · See more »

Ilya Prigogine

Viscount Ilya Romanovich Prigogine (Илья́ Рома́нович Приго́жин; 28 May 2003) was a physical chemist and Nobel laureate noted for his work on dissipative structures, complex systems, and irreversibility.

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Information theory

Information theory studies the quantification, storage, and communication of information.

Chaos theory and Information theory · Information theory and Self-organized criticality · See more »

Kurt Wiesenfeld

Kurt Wiesenfeld is an American physicist working primarily on non-linear dynamics.

Chaos theory and Kurt Wiesenfeld · Kurt Wiesenfeld and Self-organized criticality · See more »

Landslide

The term landslide or, less frequently, landslip, refers to several forms of mass wasting that include a wide range of ground movements, such as rockfalls, deep-seated slope failures, mudflows and debris flows.

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Niles Eldredge

Niles Eldredge (born August 25, 1943) is a U.S. biologist and paleontologist, who, along with Stephen Jay Gould, proposed the theory of punctuated equilibrium in 1972.

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Nonlinear system

In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input.

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Per Bak

Per Bak (December 8, 1948 – October 16, 2002) was a Danish theoretical physicist who coauthored the 1987 academic paper that coined the term "self-organized criticality.".

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Physical Review Letters

Physical Review Letters (PRL), established in 1958, is a peer-reviewed, scientific journal that is published 52 times per year by the American Physical Society.

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Physics

Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.

Chaos theory and Physics · Physics and Self-organized criticality · See more »

Physics Letters

Physics Letters was a scientific journal published from 1962 to 1966, when it split in two series now published by Elsevier.

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Punctuated equilibrium

Punctuated equilibrium (also called punctuated equilibria) is a theory in evolutionary biology which proposes that once species appear in the fossil record the population will become stable, showing little evolutionary change for most of its geological history.

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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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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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Sociology

Sociology is the scientific study of society, patterns of social relationships, social interaction, and culture.

Chaos theory and Sociology · Self-organized criticality and Sociology · See more »

Solar flare

A solar flare is a sudden flash of increased Sun's brightness, usually observed near its surface.

Chaos theory and Solar flare · Self-organized criticality and Solar flare · See more »

Stephen Jay Gould

Stephen Jay Gould (September 10, 1941 – May 20, 2002) was an American paleontologist, evolutionary biologist, and historian of science.

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Wildfire

A wildfire or wildland fire is a fire in an area of combustible vegetation that occurs in the countryside or rural area.

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The list above answers the following questions

Chaos theory and Self-organized criticality Comparison

Chaos theory has 262 relations, while Self-organized criticality has 92. As they have in common 35, the Jaccard index is 9.89% = 35 / (262 + 92).

References

This article shows the relationship between Chaos theory and Self-organized criticality. To access each article from which the information was extracted, please visit:

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