van der Pol limit cycle

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• Van der Pol oscillator — In dynamics, the Van der Pol oscillator (named for Dutch physicist Balthasar van der Pol) is a type of nonconservative oscillator with nonlinear damping. It evolves in time according to the second order differential equation::{d^2x over… …   Wikipedia

• Limit-cycle — Attracting limit cycle and its Poincaré map In mathematics, in the area of dynamical systems, a limit cycle on a plane or a two dimensional manifold is a closed trajectory in phase space having the property that at least one other trajectory… …   Wikipedia

• Cycle Limite — En mathématiques, dans l étude des systèmes dynamiques, on appelle cycle limite, ou cycle limite sur un plan ou une variété bidimensionnelle une trajectoire fermée dans l espace des phases, telle qu au moins une autre trajectoire spirale à l… …   Wikipédia en Français

• Cycle limite — En mathématiques, dans l étude des systèmes dynamiques, on appelle cycle limite, ou cycle limite sur un plan ou une variété bidimensionnelle une trajectoire fermée dans l espace des phases, telle qu au moins une autre trajectoire spirale à l… …   Wikipédia en Français

• Scientific phenomena named after people — This is a list of scientific phenomena and concepts named after people (eponymous phenomena). For other lists of eponyms, see eponym. NOTOC A* Abderhalden ninhydrin reaction Emil Abderhalden * Abney effect, Abney s law of additivity William de… …   Wikipedia

• Attractor — For other uses, see Attractor (disambiguation). Visual representation of a strange attractor An attractor is a set towards which a dynamical system evolves over time. That is, points that get close enough to the attractor remain close even if… …   Wikipedia

• Chaos theory — This article is about chaos theory in Mathematics. For other uses of Chaos theory, see Chaos Theory (disambiguation). For other uses of Chaos, see Chaos (disambiguation). A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3 …   Wikipedia

• Предельный цикл — В теории динамических систем и дифференциальных уравнений, предельным циклом векторного поля на плоскости или, более обобщённо, на каком либо двумерном многообразии называется замкнутая (периодическая) траектория этого векторного поля, в… …   Википедия

• Liénard equation — In mathematics, more specifically in the study of dynamical systems and differential equations, a Liénard equation [A. Liénard (1928) Etude des oscillations entretenues, Revue générale de l électricité , vol. 23, pages 901 912 and 946 954.] is a… …   Wikipedia

• Phase space — In mathematics and physics, a phase space, introduced by Willard Gibbs in 1901, is a space in which all possible states of a system are represented, with each possible state of the system corresponding to one unique point in the phase space. For… …   Wikipedia

• Phase portrait — A phase portrait is a geometric representation of the trajectories of a dynamical system in the phase plane. Each set of initial conditions is representated by a different curve, or point.Phase portraits are an invaluable tool in studying… …   Wikipedia