Aleksandr Mikhailovich Lyapunov (6 June [O.S. 25 May] 1857 – 3 November 1918) was a Russian mathematician, mechanician and physicist. He was the son of...
14 KB (1,604 words) - 01:00, 28 October 2024
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
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 (1,501 words) - 16:25, 29 September 2024
Central limit theorem (redirect from Lyapunov's 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 (8,863 words) - 08:26, 21 October 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
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
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
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
Composer Sergei Lyapunov, mathematician Aleksandr Lyapunov, and philologist Boris Lyapunov were his close relatives. In 1928, Lyapunov enrolled at Moscow...
6 KB (424 words) - 19:06, 26 October 2024
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) - 23:43, 28 October 2024
Ekeland Doyne Farmer Martin Gutzwiller Brosl Hasslacher Michel Hénon Aleksandr Lyapunov Norman Packard Otto Rössler David Ruelle Oleksandr Mikolaiovich Sharkovsky...
121 KB (13,847 words) - 19:34, 24 October 2024
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) - 14:58, 27 October 2024
head of the Demidov Lyceum in Yaroslavl. He was the father of Aleksandr and Sergei Lyapunov. Georg Trogemann; Wolfgang Ernst; Alexander Y. Nitussov (2001)...
1 KB (73 words) - 11:35, 7 September 2024
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
well-known students were the mathematicians Dmitry Grave, Aleksandr Korkin, Aleksandr Lyapunov, and Andrei Markov. According to the Mathematics Genealogy...
15 KB (1,550 words) - 08:54, 13 September 2024
The Lyapunov–Malkin theorem (named for Aleksandr Lyapunov and Ioel Malkin [ru]) is a mathematical theorem detailing stability of nonlinear systems. In...
3 KB (401 words) - 07:39, 16 August 2024
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...
44 KB (6,465 words) - 05:08, 25 October 2024
sequences that are not monotonic using techniques and theorems named for Aleksandr Lyapunov. In these cases, one defines a function V : R n → R {\displaystyle...
11 KB (1,758 words) - 14:24, 4 September 2024
Ivan Sechenov, Vladimir Filatov, Nikolay Umov, Leonid Mandelstam, Aleksandr Lyapunov, Mark Krein, Alexander Smakula, Waldemar Haffkine, Valentin Glushko...
166 KB (16,333 words) - 21:29, 23 October 2024
In applied mathematics and dynamical system theory, Lyapunov vectors, named after Aleksandr Lyapunov, describe characteristic expanding and contracting...
7 KB (1,134 words) - 13:22, 5 May 2023
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...
4 KB (337 words) - 17:49, 31 October 2024
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 (16,699 words) - 23:34, 28 October 2024
theory Aleksandr Lyapunov, founder of stability theory, author of the Lyapunov's central limit theorem, Lyapunov equation, Lyapunov fractal, Lyapunov time...
204 KB (22,840 words) - 04:46, 30 October 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...
55 KB (6,187 words) - 14:49, 21 October 2024
but finite time, return to a state very close to the initial state. Aleksandr Lyapunov developed many important approximation methods. His methods, which...
53 KB (7,150 words) - 18:46, 14 October 2024
Al-Kindi Andrey Kolmogorov Pierre-Simon Laplace Erich L. Lehmann Aleksandr Lyapunov Anil Kumar Gain Prasanta Chandra Mahalanobis Abraham De Moivre Jerzy...
63 KB (7,628 words) - 17:51, 27 October 2024