homoclinic

homoclinic
Describing a path that starts and ends at the same point of equilibrium

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  • Homoclinic orbit — In mathematics, a homoclinic orbit is a trajectory of a flow of a dynamical system which joins a saddle equilibrium point to itself. More precisely, a homoclinic orbit lies in the intersection of the stable manifold and the unstable manifold of… …   Wikipedia

  • Homoclinic bifurcation — In mathematics, a homoclinic bifurcation is a global bifurcation which often occurs when a periodic orbit collides with a saddle point.The image below shows a phase portrait before, at, and after a homoclinic bifurcation in 2D. The periodic orbit …   Wikipedia

  • Jacob Palis — Jacob Palis, Jr. (b. 15 March 1940 in Uberaba, Brazil) is a Brazilian mathematician of international recognition. Since 1973 he has held a permanent position as professor at Instituto Nacional de Matemática Pura e Aplicada in Rio de Janeiro,… …   Wikipedia

  • Jacob Palis — Nacimiento 15 de Marzo de 1940 Uberaba, Brasil Nacionalidad Campo …   Wikipedia Español

  • Jacob Palis — Jacob Palis, Jr. (* 15. März 1940 in Uberaba, Minas Gerais) ist ein brasilianischer Mathematiker und Hochschullehrer. Inhaltsverzeichnis 1 Biografie 2 Veröffentlichungen 2.1 Fachaufsätze …   Deutsch Wikipedia

  • Numerical continuation — is a method of computing approximate solutions of a system of parameterized nonlinear equations, The parameter λ is usually a real scalar, and the solution an n vector. For a fixed parameter value λ,, maps Euclidean n space into itself. Often the …   Wikipedia

  • Horseshoe map — In the mathematics of chaos theory, a horseshoe map is any member of a class of chaotic maps of the square into itself. It is a core example in the study of dynamical systems. The map was introduced by Smale while studying the behavior of the… …   Wikipedia

  • List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …   Wikipedia

  • Heteroclinic orbit — In mathematics, in the phase portrait of a dynamical system, a heteroclinic orbit (sometimes called a heteroclinic connection) is a path in phase space which joins two different equilibrium points. If the equilibrium points at the start and end… …   Wikipedia

  • Homocline (disambiguation) — Homocline may refer to:;Geology *Homocline;Mathematics *Homoclinic orbit *Homoclinic bifurcation …   Wikipedia

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