Lyapunov
Encyclopedia
Lyapunov may refer to:
- Prokopy LyapunovProkopy LyapunovProkopy Petrovich Lyapunov was a Russian statesman of Rurikid stock, who helped deliver Moscow from Polish interventionists.After the death of Boris Godunov, Prokopy and his brother Zakhary Lyapunov sided with False Dmitriy I. In early 1606, he took part in the Bolotnikov Uprising on the side of...
(? –1611), Russian statesman - Zakhary LyapunovZakhary LyapunovZakhary Petrovich Lyapunov was a Russian political figure of the early 17th century, brother of Prokopy Lyapunov. In 1605, Zakhary Lyapunov took the side of False Dmitri I. Upon the latter's death in 1606, he took part in the Bolotnikov Uprising in 1606–1607...
(? – after 1612), Russian statesman, Prokopy Lyapunov's brother - Mikhail LyapunovMikhail LyapunovMikhail Vasilyevich Lyapunov was a Russian astronomer and a head of the Demidov Lyceum in Yaroslavl. He was the father of Aleksandr and Sergei Lyapunov.-References:...
(1820–1868), Russian astronomer - Aleksandr LyapunovAleksandr LyapunovAleksandr Mikhailovich Lyapunov was a Russian mathematician, mechanician and physicist. His surname is sometimes romanized as Ljapunov, Liapunov or Ljapunow....
(1857–1918), Russian mathematician and mechanician- Lyapunov equation
- Lyapunov exponentLyapunov exponentIn 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...
- Lyapunov functionLyapunov functionIn the theory of ordinary differential equations , Lyapunov functions are scalar functions that may be used to prove the stability of an equilibrium of an ODE. Named after the Russian mathematician Aleksandr Mikhailovich Lyapunov, Lyapunov functions are important to stability theory and control...
- Lyapunov fractalLyapunov fractalIn mathematics, Lyapunov fractals are bifurcational fractals derived from an extension of the logistic map in which the degree of the growth of the population, r, periodically switches between two values A and B.A Lyapunov fractal is constructed by mapping the regions of stability and chaotic...
- Lyapunov stabilityLyapunov stabilityVarious types of stability may be discussed for the solutions of differential equations describing dynamical systems. The most important type is that concerning the stability of solutions near to a point of equilibrium. This may be discussed by the theory of Lyapunov...
- Lyapunov's central limit theorem
- Lyapunov vectorLyapunov vectorIn applied mathematics and dynamical system theory, Lyapunov vectors, named after Aleksandr Lyapunov, describe characteristic expanding and contracting directions of a dynamical system. They have been used in predictability analysis and as initial perturbations for ensemble forecasting in numerical...
- Lyapunov (crater)Lyapunov (crater)Lyapunov is a lunar crater named for Aleksandr Lyapunov that is located along the east-northeastern limb of the Moon, and is viewed from the side by observers on Earth...
- Sergei LyapunovSergei LyapunovSergei Mikhailovich Lyapunov was a Russian composer and pianist.-Life:Lyapunov was born in Yaroslavl in 1859. After the death of his father, Mikhail Lyapunov, when he was about eight, Sergei, his mother, and his two brothers went to live in the larger town of Nizhny Novgorod...
(1859–1924), Russian composer - Boris Lyapunov (1862–1943), Russian expert in Slavic studies
- Alexey LyapunovAlexey LyapunovAlexey Andreevich Lyapunov was a Soviet mathematician and early pioneer of computer science. One of the founders of cybernetics, Lyapunov was member of the Soviet Academy of Sciences and a specialist in the fields of real variable function theory, mathematical problems of cybernetics, set theory,...
(1911–1973), Russian mathematician