- Hopf bifurcation
- бифуркация рождения цикла, бифуркация Хопфа
The New English-Russian Dictionary of Radio-electronics. F.V Lisovsky . 2005.
Hopf bifurcation
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Hopf bifurcation — In bifurcation theory a Hopf or Andronov Hopf bifurcation is a local bifurcation in which a fixed point ofa dynamical system loses stability as a pair of complex conjugate eigenvalues of the linearization around the fixed point crossthe imaginary … Wikipedia
Bifurcation theory — is the mathematical study of changes in the qualitative or topological structure of a given family. Examples of such families are the integral curves of a family of vector fields or, the solutions of a family of differential equations. Most… … Wikipedia
Eberhard Hopf — Eberhard Frederich Ferdinand Hopf (April 4, 1902 Salzburg, Austria – July 24, 1983 Bloomington, Indiana) was a mathematician and astronomer, one of the founding fathers of ergodic theory and a pioneer of bifurcation theory who also made… … Wikipedia
Heinz Hopf — (November 19, 1894 – June 3, 1971) was a German mathematician born in Gräbschen, Germany (now Grabiszyn, part of Wrocław, Poland). He attended Dr. Karl Mittelhaus higher boys school from 1901 to 1904, and then entered the König Wilhelm Gymnasium… … Wikipedia
Saddle-node bifurcation — In the mathematical area of bifurcation theory a saddle node bifurcation or tangential bifurcation is a local bifurcation in which two fixed points (or equilibria) of a dynamical system collide and annihilate each other. The term saddle node… … Wikipedia
Bogdanov-Takens bifurcation — In bifurcation theory, a field within mathematics, a Bogdanov Takens bifurcation is a well studied example of a bifurcation with co dimension two, meaning that two parameters must be varied for the bifurcation to occur. It is named after R. I.… … Wikipedia
Pitchfork bifurcation — In bifurcation theory, a field within mathematics, a pitchfork bifurcation is a particular type of local bifurcation. Pitchfork bifurcations, like Hopf bifurcations have two types supercritical or subcritical. In flows, that is, continuous… … Wikipedia
SYSTÈMES DYNAMIQUES DIFFÉRENTIABLES — Sans doute née avec le mémoire que Poincaré écrivit en 1881 «sur les courbes définies par des équations différentielles», où l’étude quantitative (analytique) locale des équations différentielles dans le champ complexe est remplacée par leur… … Encyclopédie Universelle
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
Reaction–diffusion system — Reaction–diffusion systems are mathematical models which explain how the concentration of one or more substances distributed in space changes under the influence of two processes: local chemical reactions in which the substances are transformed… … Wikipedia
Supercritical — may refer to:* Critical mass, the smallest amount of fissile material needed for a sustained nuclear chain reaction * Critical temperature, Tc, the temperature above which distinct liquid and gas phases do not exist * Supercritical fluid, a… … Wikipedia
