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Concept information

Terme préférentiel

Hopf bifurcation  

Définition(s)

  • In the mathematical theory of bifurcations, a Hopf bifurcation is a critical point where a system's stability switches and a periodic solution arises. More accurately, it is a local bifurcation in which a fixed point of a dynamical system loses stability, as a pair of complex conjugate eigenvalues—of the linearization around the fixed point—crosses the complex plane imaginary axis. Under reasonably generic assumptions about the dynamical system, a small-amplitude limit cycle branches from the fixed point. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hopf_bifurcation)

Concept(s) générique(s)

Synonyme(s)

  • Poincaré–Andronov–Hopf bifurcation

Traductions

URI

http://data.loterre.fr/ark:/67375/MDL-QDKVK8G8-J

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