- Lyapunov analysis
- 李雅普诺夫分析(法)
English-Chinese computer dictionary (英汉计算机词汇大词典). 2013.
Lyapunov analysis
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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 — RUSSIA (see also List of Individuals) 25.5.1857 Jaroslav/RU 3.11.1918 Odessa/RU Aleksandr Mikhailovich Lyapunov graduated in physics and mathematics from the Saint Petersburg University in 1880. Based on a notable work on rotational flow, he was… … Hydraulicians in Europe 1800-2000
Lyapunov stability — In mathematics, the notion of Lyapunov stability occurs in the study of dynamical systems. In simple terms, if all solutions of the dynamical system that start out near an equilibrium point x e stay near x e forever, then x e is Lyapunov stable.… … Wikipedia
Lyapunov equation — In control theory, the discrete Lyapunov equation is of the form:A X A^H X + Q = 0where Q is a hermitian matrix. The continuous Lyapunov equation is of form:AX + XA^H + Q = 0.The Lyapunov equation occurs in many branches of control theory, such… … Wikipedia
Lyapunov-Exponent — Der Ljapunow Exponent eines dynamischen Systems (nach Alexander Michailowitsch Ljapunow) beschreibt die Geschwindigkeit, mit der sich zwei (nahe beieinanderliegende) Punkte im Phasenraum voneinander entfernen oder annähern (je nach Vorzeichen).… … Deutsch Wikipedia
Recurrence quantification analysis — (RQA) is a method of nonlinear data analysis (cf. chaos theory) for the investigation of dynamical systems. It quantifies the number and duration of recurrences of a dynamical system presented by its phase space trajectory.BackgroundThe… … Wikipedia
Control-Lyapunov function — In control theory, a control Lyapunov function V(x,u) [1]is a generalization of the notion of Lyapunov function V(x) used in stability analysis. The ordinary Lyapunov function is used to test whether a dynamical system is stable (more… … 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
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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
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