Lyapunov

Lyapunov

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 mathematician and mechanician.
* Sergei Lyapunov (1859–1924), Russian composer.
* Boris Lyapunov (1862-1943), Russian expert in Slavic studies.
* Alexey Lyapunov (1911-1973), Russian mathematician.

See also

* Lyapunov equation
* Lyapunov exponent
* Lyapunov function
* Lyapunov fractal
* Lyapunov stability
* Lyapunov's central limit theorem
* Lyapunov (crater)


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  • 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 — Liapounov Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Liapounov ou Lyapunov (transcription anglaise) peut faire référence à : Patronymes Alexandre Liapounov (1857 1918), mathématicien russe… …   Wikipédia en Français

  • 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

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