Lyapunov

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• Lyapunov — may refer to:* Prokopy Lyapunov (? 1611), Russian statesman. * Zakhary Lyapunov (? after 1612), Russian statesman, Prokopy Lyapunov s brother. * Mikhail Lyapunov (1820 1868), Russian astronomer * Aleksandr Lyapunov (1857–1918), Russian… …   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 — Alexander Michailowitsch Ljapunow Alexander Michailowitsch Ljapunow (russisch Александр Михайлович Ляпунов, wiss. Transliteration Aleksandr Michajlovič Ljapunov; * 25. Maijul./ 6. Juni 1857 …   Deutsch Wikipedia

• Lyapunov theory — is a collection of results regarding stability of dynamical systems, named after a Russian mathematician Aleksandr Mikhailovich Lyapunov. The primary result of the theory is the concept of Lyapunov stability …   Wikipedia

• 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 function — In mathematics, Lyapunov functions are functions which can be used to prove the stability of a certain fixed point in a dynamical system or autonomous differential equation. Named after the Russian mathematician Aleksandr Mikhailovich Lyapunov,… …   Wikipedia

• 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 fractal — Standard Lyapunov logistic fractal with iteration sequence AB, in the region [2, 4] × [2, 4] …   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 time — In mathematics, the Lyapunov time is the length of time for a dynamical system to become chaotic. The Lyapunov time reflects the limits of the predictability of the system. By convention, it is measured as the time for nearby trajectories of the… …   Wikipedia