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1. Sergei Lyapunov: Sergei Mikhailovich Lyapunov (or Liapunov; Russian: Серге́й Миха́йлович Ляпуно́в, Russian pronunciation: [sʲɪrˈɡʲej mʲɪˈxajləvʲɪtɕ lʲɪpʊˈnof]; 30 November [O.S. 18 November] 1859 – 8 November 1924) was a Russian composer, pianist and conductor. (Russian composer, pianist, and conductor (1859–1924)) [100%] 2023-12-27 [1859 births] [1924 deaths]...
2. Lyapunov: Lyapunov (Russian: Ляпунов, in old-Russian often written Лепунов) is a Russian surname that is sometimes also romanized as Ljapunov, Liapunov or Ljapunow. Notable people with the surname include. [77%] 2024-04-24 [Russian-language surnames]
3. Sergei (Rajapolvi): Bishop Sergei (Finn. piispa Sergei, secular name: Yrjö Rajapolvi; born April 23, 1965, Viinijärvi, North Karelia) is the vicar bishop of the Helsinki Orthodox Diocese (Patriarchate of Constantinople), with the title of Bishop of Hamina. (Rajapolvi) [64%] 2023-12-16 [Hegumens] [Valamo monastery (Heinävesi)]...
4. Lyapunov function: In the theory of ordinary differential equations (ODEs), Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions that may be used to prove the stability of an equilibrium of an ODE. Lyapunov functions (also called Lyapunov’s second method for ... (Concept in the analysis of dynamical systems) [54%] 2023-12-26 [Stability theory]
5. Alexey Lyapunov: Alexey Andreevich Lyapunov (Russian: Алексе́й Андре́евич Ляпуно́в; 25 September 1911 – 23 June 1973) was a Soviet mathematician and an early pioneer of computer science. One of the founders of Soviet cybernetics, Lyapunov was member of the Soviet Academy of Sciences and a specialist ... (Biography) [54%] 2023-12-27 [Soviet mathematicians]
6. Lyapunov function: In the theory of ordinary differential equations (ODEs), Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions that may be used to prove the stability of an equilibrium of an ODE. Lyapunov functions (also called Lyapunov’s second method for ... (Concept in the analysis of dynamical systems) [54%] 2023-12-30 [Stability theory]
7. Lyapunov exponent: As soon as scientists realized that the evolution of physical systems can be described in terms of mathematical equations, the stability of the various dynamical regimes was recognized as a matter of primary importance. The interest for this question was ... [54%] 2021-12-24 [Computational Neuroscience] [Dynamical Systems]...
8. Alexander Lyapunov: Su nombre a menudo se ve transliterado como Lyapunov, Ljapunov o Ljapunow. Entre sus diversos trabajos, sobresalen las funciones de Liapunov dentro del campo de las ecuaciones diferenciales. Biografía[editar] ### Infancia y juventud[editar] Liapunov nació en Yaroslavl, en la Rusia ... [54%] 2023-05-17
9. Lyapunov function: Consider a differentiable vectorfield \(f:X \rightarrow X\ ,\) \(x \mapsto f(x)\ ,\) \(X \subset \mathbb{R}^n.\) A differentiable function \(V:U \rightarrow \mathbb{R}\ ,\) defined on an open subset \(U \subset X\) is called a Lyapunov function for \(f ... [54%] 2022-02-08 [Differential Equations]
10. Lyapunov optimization: This article describes Lyapunov optimization for dynamical systems. It gives an example application to optimal control in queueing networks. [54%] 2023-12-26 [Networking algorithms] [Queueing theory]...
11. Lyapunov fractal: In mathematics, Lyapunov fractals (also known as Markus–Lyapunov fractals) are bifurcational fractals derived from an extension of the logistic map in which the degree of the growth of the population, r, periodically switches between two values A and B ... (Type of fractal) [54%] 2023-12-27 [Fractals]
12. Lyapunov equation: The Lyapunov equation, named after the Russian mathematician Aleksandr Lyapunov, is a matrix equation used in the stability analysis of linear dynamical systems. In particular, the discrete-time Lyapunov equation (also known as Stein equation) for X {\displaystyle X} is ... [54%] 2023-12-30 [Control theory]
13. Aleksandr Lyapunov: Su nombre a menudo se ve transliterado como Lyapunov, Ljapunov o Ljapunow. Entre sus diversos trabajos, sobresalen las funciones de Liapunov dentro del campo de las ecuaciones diferenciales. Biografía[editar] ### Infancia y juventud[editar] Liapunov nació en Yaroslavl, en la Rusia ... [54%] 2023-05-17
14. Lyapunov time: In mathematics, the Lyapunov time is the characteristic timescale on which a dynamical system is chaotic. It is named after the Russia n mathematician Aleksandr Lyapunov. (Timescale of dynamical systems) [54%] 2023-01-06 [Dynamical systems]
15. Lyapunov vector: In applied mathematics and dynamical system theory, Lyapunov vectors, named after Aleksandr Lyapunov, describe characteristic expanding and contracting directions of a dynamical system. They have been used in predictability analysis and as initial perturbations for ensemble forecasting in numerical weather ... [54%] 2021-12-22 [Functional analysis] [Mathematical physics]...
16. Lyapunov transformation: A non-degenerate linear transformation $ L ( t) : \mathbf R ^ {n} \rightarrow \mathbf R ^ {n} $( or $ L ( t) : \mathbf C ^ {n} \rightarrow \mathbf C ^ {n} $), smoothly depending on a parameter $ t \in \mathbf R $, that satisfies the condition $$ \sup _ {t ... (Mathematics) [54%] 2023-08-10
17. Lyapunov dimension: In the mathematics of dynamical systems, the concept of Lyapunov dimension was suggested by Kaplan and Yorke for estimating the Hausdorff dimension of attractors. Further the concept has been developed and rigorously justified in a number of papers, and nowadays ... [54%] 2021-12-21
18. Lyapunov fractal: In mathematics, Lyapunov fractals (also known as Markus–Lyapunov fractals) are bifurcational fractals derived from an extension of the logistic map in which the degree of the growth of the population, r, periodically switches between two values A and B ... (Type of fractal) [54%] 2023-12-26 [Fractals]
19. Alexandr Lyapunov: Su nombre a menudo se ve transliterado como Lyapunov, Ljapunov o Ljapunow. Entre sus diversos trabajos, sobresalen las funciones de Liapunov dentro del campo de las ecuaciones diferenciales. Biografía[editar] ### Infancia y juventud[editar] Liapunov nació en Yaroslavl, en la Rusia ... [54%] 2023-05-17
20. Lyapunov function: A function defined as follows. Let $ x _ {0} $ be a fixed point of the system of differential equations $$ \dot{x} = f ( x , t ) $$ (that is, $ f ( x _ {0} , t ) \equiv 0 $), where the mapping $ f ( x , t ) : U ... (Mathematics) [54%] 2023-12-26