Aleksandr Mikhailovich Lyapunov | |
---|---|
Born |
Yaroslavl, Russian Empire |
June 6, 1857
Died | November 3, 1918 Odessa, Ukrainian People's Republic |
(aged 61)
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.