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Aleksandr Lyapunov

Aleksandr Mikhailovich Lyapunov
Alexander Ljapunow jung.jpg
Born (1857-06-06)June 6, 1857
Yaroslavl, Russian Empire
Died November 3, 1918(1918-11-03) (aged 61)
Odessa, Ukrainian People's Republic
Nationality Russian
Fields Applied mathematics
Institutions Saint Petersburg State University
Russian Academy of Sciences
Kharkov University
Alma mater Saint Petersburg State University
Doctoral advisor Pafnuty Chebyshev
Doctoral students Nikola Saltikov
Vladimir Steklov
Known for Lyapunov function
Lyapunov stability
Lyapunov exponent
Lyapunov Central Limit Theorem
Lyapunov vector

Aleksandr Mikhailovich Lyapunov (Russian: Алекса́ндр Миха́йлович Ляпуно́в, pronounced [ɐlʲɪkˈsandr mʲɪˈxajləvʲɪtɕ lʲɪpʊˈnof]; June 6 [O.S. May 25] 1857 – November 3, 1918) was a Russian mathematician, mechanician and physicist. His surname is sometimes romanized as Ljapunov, Liapunov, Liapounoff or Ljapunow. He was the son of astronomer Mikhail Lyapunov and the brother of pianist and composer Sergei Lyapunov.

Lyapunov is known for his development of the stability theory of a dynamical system, as well as for his many contributions to mathematical physics and probability theory.

Lyapunov was born in Yaroslavl, Russian Empire. His father Mikhail Vasilyevich Lyapunov (1820–1868) was an astronomer employed by the Demidov Lyceum. His brother, Sergei Lyapunov, was a gifted composer and pianist. In 1863, M. V. Lyapunov retired from his scientific career and relocated his family to his wife's estate at Bolobonov, in the Simbirsk province (now Ulyanovsk Oblast). After the death of his father in 1868, Aleksandr Lyapunov was educated by his uncle R. M. Sechenov, brother of the physiologist Ivan Mikhailovich Sechenov. At his uncle's family, Lyapunov studied with his distant cousin Natalia Rafailovna, who became his wife in 1886. In 1870, his mother moved with her sons to Nizhny Novgorod, where he started the third class of the gymnasium. He graduated from the gymnasium with distinction in 1876.


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