Lyapunov (, in old-Russian often written Лепунов) is a Russian surname that is sometimes also
romanized
Romanization or romanisation, in linguistics, is the conversion of text from a different writing system to the Latin script, Roman (Latin) script, or a system for doing so. Methods of romanization include transliteration, for representing writ ...
as Ljapunov, Liapunov or Ljapunow. Notable people with the surname include:
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Alexey Lyapunov
Alexey Andreevich Lyapunov (russian: Алексе́й Андре́евич Ляпуно́в; 25 September 1911 – 23 June 1973) was a Soviet mathematician and an early pioneer of computer science. One of the founders of Soviet cybernetic ...
(1911–1973), Russian mathematician
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Aleksandr Lyapunov
Aleksandr Mikhailovich Lyapunov (russian: Алекса́ндр Миха́йлович Ляпуно́в, ; – 3 November 1918) was a Russian mathematician, mechanician and physicist. His surname is variously romanized as Ljapunov, Liapunov, Liap ...
(1857–1918), son of Mikhail (1820–1868), Russian mathematician and mechanician, after whom the following are named:
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Lyapunov dimension In the mathematics of dynamical systems, the concept of Lyapunov dimension was suggested by Kaplan and Yorke for estimating the Hausdorff dimension of attractors.
Further the concept has been developed and rigorously justified in a number of paper ...
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Lyapunov equation
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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 in ...
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Lyapunov function
In the theory of ordinary differential equations (ODEs), Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions that may be used to prove the stability of an equilibrium of an ODE. Lyapunov functions (also called Lyapunov’s se ...
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Lyapunov fractal
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Lyapunov stability
Various types of stability may be discussed for the solutions of differential equations or difference equations describing dynamical systems. The most important type is that concerning the stability of solutions near to a point of equilibrium. T ...
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Lyapunov's central limit theorem
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Lyapunov time
In mathematics, the Lyapunov time is the characteristic timescale on which a dynamical system is chaotic. It is named after the Russian mathematician Aleksandr Lyapunov. It is defined as the inverse of a system's largest Lyapunov exponent.
Use
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Lyapunov vector
In 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 ...
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Lyapunov (crater)
Lyapunov is a lunar impact 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. The eastern rim of this crater just falls into the section of the Moo ...
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Boris Lyapunov (1862–1943), son of Mikhail (1820–1868), Russian expert in Slavic studies
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Mikhail Lyapunov (1820–1868), Russian astronomer
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Mikhail Nikolaevich Lyapunov (1848–1909), Russian military officer and lawyer
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Prokopy Lyapunov
Prokopy Petrovich Lyapunov () (Isady, Grand Duchy of Moscow; Grand Duchy of Ryazan became a part of Grand Duchy of Moscow in 1521 and Moscow shouldn't be confused as a birth place which is located to the east of Old Ryazan, in a village that sur ...
(d. 1611), Russian statesman
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Sergei Lyapunov
Sergei Mikhailovich Lyapunov (or Liapunov; russian: Серге́й Миха́йлович Ляпуно́в, ; 8 November 1924) was a Russian composer, pianist and conductor.
Life
Lyapunov was born in Yaroslavl in 1859. After the death of his fat ...
(1859–1924), son of Mikhail (1820–1868), Russian composer
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Zakhary Lyapunov (d. after 1612), Russian statesman, Prokopy Lyapunov's brother
See also
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Lyapunov family
The Lyapunov family (russian: Ляпуно́в) is a Russian noble family claiming descent from the Galich Rurikids, who lost their princely title in the 15th century.Their descent from Rurik is disputed by some historians, such as Sergey Solov ...
, a Russian noble family, to which not all the above individuals necessarily belong
{{surname, Lyapunov
Russian-language surnames