Lyapunov exponent — In mathematics the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation of infinitesimally close trajectories. Quantitatively, two trajectories in phase space with… … Wikipedia
Lyapunov-Exponent — Der Ljapunow Exponent eines dynamischen Systems (nach Alexander Michailowitsch Ljapunow) beschreibt die Geschwindigkeit, mit der sich zwei (nahe beieinanderliegende) Punkte im Phasenraum voneinander entfernen oder annähern (je nach Vorzeichen).… … Deutsch Wikipedia
Lyapunov — may refer to:* Prokopy Lyapunov (? 1611), Russian statesman. * Zakhary Lyapunov (? after 1612), Russian statesman, Prokopy Lyapunov s brother. * Mikhail Lyapunov (1820 1868), Russian astronomer * Aleksandr Lyapunov (1857–1918), Russian… … Wikipedia
Lyapunov fractal — Standard Lyapunov logistic fractal with iteration sequence AB, in the region [2, 4] × [2, 4] … Wikipedia
Lyapunov exponents — A measure of the dynamics of an attractor. Each dimension has a Lyapunov exponent. A positive exponent measures sensitive dependence on initial conditions, or how much our forecasts can diverge based upon different estimates of starting… … Financial and business terms
Lyapunov time — In mathematics, the Lyapunov time is the length of time for a dynamical system to become chaotic. The Lyapunov time reflects the limits of the predictability of the system. By convention, it is measured as the time for nearby trajectories of the… … Wikipedia
Lyapunov — Alexander Michailowitsch Ljapunow Alexander Michailowitsch Ljapunow (russisch Александр Михайлович Ляпунов, wiss. Transliteration Aleksandr Michajlovič Ljapunov; * 25. Maijul./ 6. Juni 1857 … Deutsch Wikipedia
Aleksandr Lyapunov — Infobox Scientist name = Aleksandr Mikhailovich Lyapunov caption = birth date = birth date|1857|6|6 birth place = Yaroslavl, Imperial Russia death date = death date and age|1918|11|3|1857|6|6 death place = residence = Russia citizenship =… … Wikipedia
Alexander Lyapunov — Alexander Michailowitsch Ljapunow Alexander Michailowitsch Ljapunow (russisch Александр Михайлович Ляпунов, wiss. Transliteration Aleksandr Michajlovič Ljapunov; * 25. Maijul./ 6. Juni 1857 … Deutsch Wikipedia
Characteristic exponent — In mathematics, the term characteristic exponent may refer to: Characteristic exponent of a field, a number equal to 1 if the field has characteristic 0, and equal to p if the field has characteristic p > 0 Lyapunov characteristic exponent, a… … Wikipedia
Chaotic mixing — An example of chaotic mixing In chaos theory and fluid dynamics, chaotic mixing is a process by which flow tracers develop into complex fractals under the action of a time varying fluid flow. The flow is characterized by an exponential growth of… … Wikipedia