Lyapunov exponent — In mathematics the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation of infinitesimally close trajectories. Quantitatively, two trajectories in phase space with… … Wikipedia
Lyapunov fractal — Standard Lyapunov logistic fractal with iteration sequence AB, in the region [2, 4] × [2, 4] … Wikipedia
Exponente de Lyapunov — Saltar a navegación, búsqueda El Exponente Lyapunov o Exponente característico Lyapunov de un sistema dinámico es una cantidad que caracteriza el grado de separación de dos trayectorias infinitesimalmente cercanas. Cuantitativamente, dos… … Wikipedia Español
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
Oseledets theorem — In mathematics, the multiplicative ergodic theorem, or Oseledets theorem provides the theoretical background for computation of Lyapunov exponents of a nonlinear dynamical system. It was proved by Valery Oseledets (also spelled Oseledec ) in 1965 … Wikipedia
Coupled map lattice — A coupled map lattice (CML) is a dynamical system that models the behavior of non linear systems (especially partial differential equations). They are predominantly used to qualitatively study the chaotic dynamics of spatially extended systems.… … Wikipedia
Floquet theory — is a branch of the theory of ordinary differential equations relating to the class of solutions to linear differential equations of the form, :dot{x} = A(t) x,,with displaystyle A(t) a continuous periodic function with period T. The main theorem… … Wikipedia
Chaos theory — This article is about chaos theory in Mathematics. For other uses of Chaos theory, see Chaos Theory (disambiguation). For other uses of Chaos, see Chaos (disambiguation). A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3 … Wikipedia
Фрактал Ляпунова — Стандартный логистический фрактал Ляпунова с итерационной последовательностью AB в области [2, 4] x [2, 4]. Фракталы Ляпунова (также известные как фракталы Маркуса Ляпунова) бифуркационные фракталы, порождённые расширением логистического… … Википедия
Logarithm — The graph of the logarithm to base 2 crosses the x axis (horizontal axis) at 1 and passes through the points with coordinates (2, 1), (4, 2), and (8, 3) … Wikipedia
