| DC.Title | Dynamical System |
| DC.Creator | Weisstein, Eric W. |
| DC.Description | A means of describing how one state develops into another state over the course of time. Technically, a dynamical system is a smooth action of the reals or the integers on another object (usually a manifold). When the reals are acting, the system is called a continuous dynamical system, and when the integers are acting, the system is called a discrete dynamical system. If f is any continuous function, then the evolution of a variable x can be given by the formula x_(n+1)=f(x_n). (1) This... |
| DC.Subject | 37 |
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New in MathWorld
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| Calculus and Analysis | https://mathworld.wolfram.com/topics/CalculusandAnalysis.html |
| Dynamical Systems | https://mathworld.wolfram.com/topics/DynamicalSystems.html |
| MathWorld Contributors | https://mathworld.wolfram.com/topics/MathWorldContributors.html |
| Budney | https://mathworld.wolfram.com/topics/Budney.html |
| MathWorld Contributors | https://mathworld.wolfram.com/topics/MathWorldContributors.html |
| Walkden | https://mathworld.wolfram.com/topics/Walkden.html |
| integers | https://mathworld.wolfram.com/Integer.html |
| manifold | https://mathworld.wolfram.com/Manifold.html |
| integers | https://mathworld.wolfram.com/Integer.html |
| continuous function | https://mathworld.wolfram.com/ContinuousFunction.html |
| differential
equation | https://mathworld.wolfram.com/DifferentialEquation.html |
| Anosov Diffeomorphism | https://mathworld.wolfram.com/AnosovDiffeomorphism.html |
| Anosov Flow | https://mathworld.wolfram.com/AnosovFlow.html |
| Axiom
A Diffeomorphism | https://mathworld.wolfram.com/AxiomADiffeomorphism.html |
| Axiom A Flow | https://mathworld.wolfram.com/AxiomAFlow.html |
| Bifurcation
Theory | https://mathworld.wolfram.com/BifurcationTheory.html |
| Chaos | https://mathworld.wolfram.com/Chaos.html |
| Ergodic
Theory | https://mathworld.wolfram.com/ErgodicTheory.html |
| Geodesic Flow | https://mathworld.wolfram.com/GeodesicFlow.html |
| Explore this topic in the MathWorld classroom | https://mathworld.wolfram.com/classroom/DynamicalSystem.html |
|
dynamical system
| https://www.wolframalpha.com/input/?i=dynamical+system |
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| fcc lattice point groups | https://www.wolframalpha.com/input/?i=fcc+lattice+point+groups |
| Topological Theory of Dynamical Systems. | http://www.amazon.com/exec/obidos/ASIN/0444899170/ref=nosim/ericstreasuretro |
| Introduction
to Applied Nonlinear Dynamical Systems and Chaos. | http://www.amazon.com/exec/obidos/ASIN/0387970037/ref=nosim/ericstreasuretro |
| Nonlinear
Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 3rd ed. | http://www.amazon.com/exec/obidos/ASIN/0387908196/ref=nosim/ericstreasuretro |
| Nonlinear
Ordinary Differential Equations: An Introduction to Dynamical Systems, 3rd ed. | http://www.amazon.com/exec/obidos/ASIN/0198565623/ref=nosim/ericstreasuretro |
| Regular
and Stochastic Motion, 2nd ed. | http://www.amazon.com/exec/obidos/ASIN/0387977457/ref=nosim/ericstreasuretro |
| Chaos
in Dynamical Systems. | http://www.amazon.com/exec/obidos/ASIN/0521437997/ref=nosim/ericstreasuretro |
| Chaotic
Dynamics of Nonlinear Systems. | http://www.amazon.com/exec/obidos/ASIN/0471184349/ref=nosim/ericstreasuretro |
| Nonlinear
Dynamics and Chaos, with Applications to Physics, Biology, Chemistry, and Engineering. | http://www.amazon.com/exec/obidos/ASIN/0201543443/ref=nosim/ericstreasuretro |
| Chaos
and Integrability in Nonlinear Dynamics: An Introduction. | http://www.amazon.com/exec/obidos/ASIN/0471827282/ref=nosim/ericstreasuretro |
| Dynamical System | https://www.wolframalpha.com/input/?i=dynamical+system |
| Weisstein, Eric W. | https://mathworld.wolfram.com/about/author.html |
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