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 Roman (Latin) script, or a system for doing so. Methods of romanization include transliteration, for representing written text, and ...

as Ljapunov, Liapunov or Ljapunow. Notable people with the surname include: * Alexey Lyapunov (1911–1973), Russian mathematician * Aleksandr Lyapunov (1857–1918), son of Mikhail (1820–1868), Russian mathematician and mechanician, after whom the following are named: **

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 ...

Lyapunov equation In control theory, the discrete Lyapunov equation is of the form :A X A^ - X + Q = 0 where Q is a Hermitian matrix and A^H is the conjugate transpose of A. The continuous Lyapunov equation is of the form :AX + XA^H + Q = 0. The Lyapunov equation o ...

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 ini ...

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 ...

Lyapunov fractal In mathematics, Lyapunov fractals (also known as Markus–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 ...

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) establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselv ...

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 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 ...

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 Moon ...

Boris Lyapunov Boris may refer to: People * Boris (given name), a male given name *:''See'': List of people with given name Boris * Boris (surname) * Boris I of Bulgaria (died 907), the first Christian ruler of the First Bulgarian Empire, canonized after his ...

(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; russian: Серге́й Миха́йло� ...

(1820–1868), Russian astronomer *

Mikhail Nikolaevich Lyapunov Mikhail Nikolaevich Lyapunov (russian: Михаил Николаевич Ляпунов; 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 fa ...

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

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 *

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 fath ...

(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 took ...

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

See also