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List Of Dynamical System 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. Dynamical systems, in general *Deterministic system (mathematics) *Linear system * Partial differential equation *Dynamical systems and chaos theory * Chaos theory ** Chaos argument ** Butterfly effect ** 0-1 test for chaos * Bifurcation diagram *Feigenbaum constant *Sharkovskii's theorem *Attractor ** Strange nonchaotic attractor * Stability theory **Mechanical equilibrium **Astable ** Monostable ** Bistability **Metastability * Feedback ** Negative feedback **Positive feedback **Homeostasis * Damping ratio *Dissipative system *Spontaneous symmetry breaking *Turbulence *Perturbation theory *Control theory ** Non-linear control **Adaptive control ** Hierarchical control **Intelligent control ** Optimal control **Dynamic programming **Robust control ** Stochastic control * System dynamics, system analysis *Takens' theorem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dynamical System
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, fluid dynamics, the flow of water in a pipe, the Brownian motion, random motion of particles in the air, and population dynamics, the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured. Time can be measured by integers, by real number, real or complex numbers or can be a more general algebraic object, losing the memory of its physical origin, and the space may be a manifold or simply a Set (mathematics), set, without the need of a Differentiability, smooth space-time structure defined on it. At any given time, a dynamical system has a State ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
