• Thumbnail for Aleksandr Lyapunov
    Aleksandr Mikhailovich Lyapunov (Russian: Алекса́ндр Миха́йлович Ляпуно́в, pronounced [ɐlʲɪkˈsandr mʲɪˈxajləvʲɪtɕ lʲɪpʊˈnof]; 6 June [O.S. 25 May] 1857...
    14 KB (1,585 words) - 02:40, 12 August 2024
  • Thumbnail for Lyapunov exponent
    In mathematics, the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation...
    26 KB (3,187 words) - 03:52, 22 July 2024
  • Notable people with the surname include: Alexey Lyapunov (1911–1973), Russian mathematician Aleksandr Lyapunov (1857–1918), son of Mikhail (1820–1868), Russian...
    1 KB (189 words) - 14:58, 5 October 2022
  • theory of ordinary differential equations (ODEs), Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions that may be used to prove the...
    7 KB (1,085 words) - 14:27, 29 July 2024
  • Lyapunov time is the characteristic timescale on which a dynamical system is chaotic. It is named after the Russian mathematician Aleksandr Lyapunov....
    3 KB (269 words) - 22:16, 26 April 2024
  • to a point of equilibrium. This may be discussed by the theory of Aleksandr Lyapunov. In simple terms, if the solutions that start out near an equilibrium...
    24 KB (3,883 words) - 16:08, 9 July 2024
  • The Lyapunov equation, named after the Russian mathematician Aleksandr Lyapunov, is a matrix equation used in the stability analysis of linear dynamical...
    8 KB (1,500 words) - 12:19, 18 May 2024
  • Thumbnail for Central limit theorem
    limit theorem was discerned, when, in 1901, Russian mathematician Aleksandr Lyapunov defined it in general terms and proved precisely how it worked mathematically...
    65 KB (8,861 words) - 09:16, 20 August 2024
  • Composer Sergei Lyapunov, mathematician Aleksandr Lyapunov, and philologist Boris Lyapunov were his close relatives. In 1928, Lyapunov enrolled at Moscow...
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  • is compact and convex Lyapunov–Malkin theorem, a mathematical theorem detailing nonlinear stability of systems Aleksandr Lyapunov (1857-1918), Russian...
    1 KB (203 words) - 00:57, 19 July 2021
  • estimations via the Lyapunov dimension became widely spread. The Lyapunov dimension was named after the Russian mathematician Aleksandr Lyapunov because of the...
    10 KB (1,571 words) - 00:57, 30 March 2023
  • Thumbnail 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...
    5 KB (445 words) - 02:06, 26 January 2024
  • Thumbnail for Sergei Lyapunov
    eight, Sergei, his mother, and his two brothers (one of them was Aleksandr Lyapunov, later a notable mathematician) went to live in the larger town of...
    13 KB (1,530 words) - 04:18, 12 August 2024
  • Thumbnail for Mikhail Lyapunov
    head of the Demidov Lyceum in Yaroslavl. He was the father of Aleksandr and Sergei Lyapunov. Georg Trogemann; Wolfgang Ernst; Alexander Y. Nitussov (2001)...
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  • their solutions. It originated from the works of Henri Poincaré and Aleksandr Lyapunov. There are relatively few differential equations that can be solved...
    2 KB (208 words) - 09:38, 15 March 2024
  • Thumbnail for Systems thinking
    shown to exhibit stable behavior given a suitable Lyapunov control function by Aleksandr Lyapunov in 1892. Thermodynamic systems were treated as early...
    19 KB (1,943 words) - 16:52, 31 May 2024
  • Banach spaces to finite-dimensional equations. It is named after Aleksandr Lyapunov and Erhard Schmidt. Let f ( x , λ ) = 0 {\displaystyle f(x,\lambda...
    6 KB (968 words) - 00:19, 22 May 2021
  • Thumbnail for Pafnuty Chebyshev
    well-known students were the mathematicians Dmitry Grave, Aleksandr Korkin, Aleksandr Lyapunov, and Andrei Markov. According to the Mathematics Genealogy...
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  • Thumbnail for Chaos theory
    Ekeland Doyne Farmer Martin Gutzwiller Brosl Hasslacher Michel Hénon Aleksandr Lyapunov Norman Packard Otto Rössler David Ruelle Oleksandr Mikolaiovich Sharkovsky...
    123 KB (14,110 words) - 22:38, 18 August 2024
  • In applied mathematics and dynamical system theory, Lyapunov vectors, named after Aleksandr Lyapunov, describe characteristic expanding and contracting...
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  • many areas yet to be explored. Scholars like Rudolf E. Kálmán and Aleksandr Lyapunov are well known among the people who have shaped modern control theory...
    45 KB (6,461 words) - 20:40, 7 June 2024
  • The Lyapunov–Malkin theorem (named for Aleksandr Lyapunov and Ioel Malkin [ru]) is a mathematical theorem detailing stability of nonlinear systems. In...
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  • Thumbnail for Odesa
    Ivan Sechenov, Vladimir Filatov, Nikolay Umov, Leonid Mandelstam, Aleksandr Lyapunov, Mark Krein, Alexander Smakula, Waldemar Haffkine, Valentin Glushko...
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  • Thumbnail for Kardashev scale
    civilization on the basis of this universal characteristic, which allowed Aleksandr Lyapunov to define life as "a highly stable state of matter, which uses information...
    140 KB (16,713 words) - 14:51, 19 August 2024
  • Thumbnail for Vladimir Steklov (mathematician)
    graduated from the Kharkov University, where he was a student of Aleksandr Lyapunov. In 1889–1906, he worked at the Department of Mechanics of this university...
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  • Thumbnail for List of Russian people
    theory Aleksandr Lyapunov, founder of stability theory, author of the Lyapunov's central limit theorem, Lyapunov equation, Lyapunov fractal, Lyapunov time...
    204 KB (22,836 words) - 11:50, 17 August 2024
  • automata and self-reproducing systems, again with only pencil and paper. Aleksandr Lyapunov and Jules Henri Poincaré worked on the foundations of chaos theory...
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  • Thumbnail for Menger sponge
    Hausdorff Desmond Paul Henry Gaston Julia Helge von Koch Paul Lévy Aleksandr Lyapunov Benoit Mandelbrot Hamid Naderi Yeganeh Lewis Fry Richardson Wacław...
    15 KB (1,827 words) - 22:36, 1 July 2024
  • Thumbnail for Dynamical system
    but finite time, return to a state very close to the initial state. Aleksandr Lyapunov developed many important approximation methods. His methods, which...
    52 KB (7,067 words) - 22:55, 8 June 2024
  • Michel Hénon Svetlana Jitomirskaya Bryna Kra Edward Norton Lorenz Aleksandr Lyapunov Benoît Mandelbrot Hee Oh Edward Ott Henri Poincaré Itamar Procaccia...
    37 KB (4,418 words) - 14:03, 17 August 2024