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Dynamical system — This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the study, see Dynamical systems theory. Dynamical redirects here. For other uses, see Dynamics (disambiguation). The… … Wikipedia
Dynamical system (definition) — This article presents the many ways to define a dynamical system. See the main article, dynamical system, for an overview of the topic. The dynamical system concept is a mathematical formalization for any fixed rule which describes the time… … Wikipedia
Hadamard's dynamical system — In physics and mathematics, the Hadamard dynamical system or Hadamard s billiards is a chaotic dynamical system, a type of dynamical billiards. Introduced by Jacques Hadamard in 1898 [J. Hadamard, Les surfaces à courbures opposées et leurs lignes … Wikipedia
Dynamical systems theory — is an area of applied mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called continuous dynamical … Wikipedia
Dynamical billiards — The Bunimovich stadium is a chaotic dynamical billiard A billiard is a dynamical system in which a particle alternates between motion in a straight line and specular reflections from a boundary. When the particle hits the boundary it reflects… … Wikipedia
Chaotic hysteresis — A nonlinear dynamical system exhibits chaotic hysteresis if it simultaneously exhibits chaotic dynamics (chaos theory) and hysteresis. As the latter involves the persistence of a state, such as magnetization, after the causal or exogenous force… … Wikipedia
Chaotic mixing — An example of chaotic mixing In chaos theory and fluid dynamics, chaotic mixing is a process by which flow tracers develop into complex fractals under the action of a time varying fluid flow. The flow is characterized by an exponential growth of… … Wikipedia
Complex system — This article largely discusses complex systems as a subject of mathematics and the attempts to emulate physical complex systems with emergent properties. For other scientific and professional disciplines addressing complexity in their fields see… … Wikipedia
Nonlinear system — Not to be confused with Non linear editing system. This article describes the use of the term nonlinearity in mathematics. For other meanings, see nonlinearity (disambiguation). In mathematics, a nonlinear system is one that does not satisfy the… … Wikipedia
List of dynamical systems and differential equations topics — This is a list of dynamical system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics, list of equations. Contents 1 Dynamical systems, in general 2 Abstract dynamical systems 3 … Wikipedia
Dissipative system — Another meaning of dissipative system is one that dissipates heat, see heat dissipation. A dissipative system is a thermodynamically open system which is operating out of, and often far from, thermodynamic equilibrium in an environment with which … Wikipedia