Lyapunov function Lyapunov stability Lyapunov exponent Lyapunov central limit theorem Lyapunov vector
Scientific career
Fields
Applied mathematics
Institutions
Saint Petersburg State University Russian Academy of Sciences Kharkov University
Thesis
The general problem of the stability of motion (1892)
Doctoral advisor
Pafnuty Chebyshev
Doctoral students
Vladimir Steklov
Aleksandr Mikhailovich Lyapunov (Russian: Алекса́ндр Миха́йлович Ляпуно́в, pronounced[ɐlʲɪkˈsandrmʲɪˈxajləvʲɪtɕlʲɪpʊˈnof]; 6 June [O.S. 25 May] 1857 – 3 November 1918) was a Russian mathematician, mechanician and physicist. His surname is variously romanized as Ljapunov, Liapunov, Liapounoff or Ljapunow. He was the son of the astronomer Mikhail Lyapunov and the brother of the 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.
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In mathematics, the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation...
theory of ordinary differential equations (ODEs), Lyapunov functions, named after AleksandrLyapunov, are scalar functions that may be used to prove the...
Lyapunov time is the characteristic timescale on which a dynamical system is chaotic. It is named after the Russian mathematician AleksandrLyapunov....
to a point of equilibrium. This may be discussed by the theory of AleksandrLyapunov. In simple terms, if the solutions that start out near an equilibrium...
The Lyapunov equation, named after the Russian mathematician AleksandrLyapunov, is a matrix equation used in the stability analysis of linear dynamical...
limit theorem was discerned, when, in 1901, Russian mathematician AleksandrLyapunov defined it in general terms and proved precisely how it worked mathematically...
Notable people with the surname include: Alexey Lyapunov (1911–1973), Russian mathematician AleksandrLyapunov (1857–1918), son of Mikhail (1820–1868), Russian...
estimations via the Lyapunov dimension became widely spread. The Lyapunov dimension was named after the Russian mathematician AleksandrLyapunov because of the...
is compact and convex Lyapunov–Malkin theorem, a mathematical theorem detailing nonlinear stability of systems AleksandrLyapunov (1857-1918), Russian...
their solutions. It originated from the works of Henri Poincaré and AleksandrLyapunov. There are relatively few differential equations that can be solved...
eight, Sergei, his mother, and his two brothers (one of them was AleksandrLyapunov, later a notable mathematician) went to live in the larger town of...
Composer Sergei Lyapunov, mathematician AleksandrLyapunov, and philologist Boris Lyapunov were his close relatives. In 1928, Lyapunov enrolled at Moscow...
shown to exhibit stable behavior given a suitable Lyapunov control function by AleksandrLyapunov in 1892. Thermodynamic systems were treated as early...
Ekeland Doyne Farmer Martin Gutzwiller Brosl Hasslacher Michel Hénon AleksandrLyapunov Norman Packard Otto Rössler David Ruelle Oleksandr Mikolaiovich Sharkovsky...
many areas yet to be explored. Scholars like Rudolf E. Kálmán and AleksandrLyapunov are well known among the people who have shaped modern control theory...
In applied mathematics and dynamical system theory, Lyapunov vectors, named after AleksandrLyapunov, describe characteristic expanding and contracting...
civilization on the basis of this universal characteristic, which allowed AleksandrLyapunov to define life as "a highly stable state of matter, which uses information...
head of the Demidov Lyceum in Yaroslavl. He was the father of Aleksandr and Sergei Lyapunov. Georg Trogemann; Wolfgang Ernst; Alexander Y. Nitussov (2001)...
well-known students were the mathematicians Dmitry Grave, Aleksandr Korkin, AleksandrLyapunov, and Andrei Markov. According to the Mathematics Genealogy...
Ivan Sechenov, Vladimir Filatov, Nikolay Umov, Leonid Mandelstam, AleksandrLyapunov, Mark Krein, Alexander Smakula, Waldemar Haffkine, Valentin Glushko...
automata and self-reproducing systems, again with only pencil and paper. AleksandrLyapunov and Jules Henri Poincaré worked on the foundations of chaos theory...
theory AleksandrLyapunov, founder of stability theory, author of the Lyapunov's central limit theorem, Lyapunov equation, Lyapunov fractal, Lyapunov time...
Hausdorff Desmond Paul Henry Gaston Julia Helge von Koch Paul Lévy AleksandrLyapunov Benoit Mandelbrot Hamid Naderi Yeganeh Lewis Fry Richardson Wacław...
Michel Hénon Svetlana Jitomirskaya Bryna Kra Edward Norton Lorenz AleksandrLyapunov Benoît Mandelbrot Hee Oh Edward Ott Henri Poincaré Itamar Procaccia...
Al-Kindi Andrey Kolmogorov Pierre-Simon Laplace Erich L. Lehmann AleksandrLyapunov Anil Kumar Gain Prasanta Chandra Mahalanobis Abraham De Moivre Jerzy...
Hausdorff Desmond Paul Henry Gaston Julia Helge von Koch Paul Lévy AleksandrLyapunov Benoit Mandelbrot Hamid Naderi Yeganeh Lewis Fry Richardson Wacław...
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