Lyapunov (, in old-Russian often written Лепунов) is a Russian surname that is sometimes also

romanized In linguistics, romanization is the conversion of text from a different writing system to the Roman (Latin) script, or a system for doing so. Methods of romanization include transliteration, for representing written text, and transcription, ...

as Ljapunov, Liapunov or Ljapunow. Notable people with the surname include: *

Alexey Lyapunov Alexey Andreyevich Lyapunov (; 8 October 1911 – 23 June 1973) was a Soviet mathematician and an early pioneer of computer science. One of the founders of Soviet cybernetics, Lyapunov was member of the Academy of Sciences of the Soviet Union ...

(1911–1973), Russian mathematician *

Aleksandr Lyapunov Aleksandr Mikhailovich Lyapunov (Алекса́ндр Миха́йлович Ляпуно́в, – 3 November 1918) was a Russian mathematician, mechanician and physicist. He was the son of the astronomer Mikhail Lyapunov and the brother of t ...

(1857–1918), son of Mikhail (1820–1868), Russian mathematician and mechanician, after whom the following are named: ** Lyapunov dimension **

Lyapunov equation The Lyapunov equation, named after the Russian mathematician Aleksandr Lyapunov, is a matrix equation used in the stability analysis of linear dynamical systems. In particular, the discrete-time Lyapunov equation (also known as Stein equation) ...

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 trajectory, trajectories. Quantitatively, two trajectories in phase sp ...

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 ...

** Lyapunov fractal **

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. ...

Lyapunov's central limit theorem In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample mean converges to a standard normal distribution. This holds even if the original variables ...

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 T ...

Lyapunov vector Lyapunov (, in old-Russian often written Лепунов) is a Russian surname that is sometimes also romanized In linguistics, romanization is the conversion of text from a different writing system to the Roman (Latin) script, or a system for ...

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 Mo ...

Boris Lyapunov Boris may refer to: People * Boris (given name), a male given name * *List of people with given name Boris * Boris (surname) Arts and media * Boris (band) is a Japanese rock band that draws variously from styles such as sludge metal, dron ...

(1862–1943), son of Mikhail (1820–1868), Russian expert in Slavic studies *

Mikhail Lyapunov Mikhail Vasilyevich Lyapunov () was a Russian astronomer and a head of the Demidov Lyceum in Yaroslavl. He was the father of Aleksandr and Sergei Lyapunov Sergei Mikhailovich Lyapunov (or Liapunov; , ; 8 November 1924) was a Russian comp ...

(1820–1868), Russian astronomer *

Mikhail Nikolaevich Lyapunov Mikhail Nikolaevich Lyapunov (; 1 March 1848 — 4 March 1909) was Russian statesman and military leader and a participant in the Russo-Japanese War. Biography Lyapunov was born into a family of hereditary nobles of Saint Petersburg Governorat ...

(1848–1909), Russian military officer and lawyer *

Prokopy Lyapunov Prokopy Petrovich Lyapunov (also Prokofy; ) (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 vi ...

(d. 1611), Russian statesman *

Sergei Lyapunov Sergei Mikhailovich Lyapunov (or Liapunov; , ; 8 November 1924) was a Russian composer, pianist and conductor. Life Lyapunov was born in Yaroslavl in 1859. After the death of his father, Mikhail Lyapunov, when he was about eight, Sergei, his moth ...

(1859–1924), son of Mikhail (1820–1868), Russian composer *

Zakhary Lyapunov Zakhary Petrovich Lyapunov () (? - after 1612) was a Russian political figure of the early 17th century, brother of Prokopy Lyapunov. Biography In 1605, Zakhary Lyapunov took the side of False Dmitri I. Upon the latter's death in 1606, he to ...

(d. after 1612), Russian statesman, Prokopy Lyapunov's brother

See also