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Bifurcation de Hopf

2011
Jusqu’a present, nous avons etudie des bifurcations stationnaires correspondant a des changements de solutions stationnaires. Ce chapitre decrit quelques exemples de systemes non lineaires presentant des bifurcations de Hopf, du nom de l’astronome mathematicien autrichien Eberhard Frederich Ferdinand Hopf (1902–1983), caracteristiques d’une transition ...
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Zero-Hopf Bifurcation

2014
In this chapter we study a bifurcation characterized by a zero eigenvalue and a pair of nonzero purely imaginary eigenvalues of the linearization transverse to a plane of equilibria. It turns out that instead we can study a one-parameter family of lines in a system depending on one parameter.
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Double-Hopf Bifurcation

2014
The final bifurcation of codimension 2 is characterized by the intersection of 2 curves of Poincare-Andronov-Hopf points on a two-dimensional surface of equilibria. As we shall see, the drift direction at the Hopf lines play an important role. In the case of a parameter-dependent fixed line of equilibria, drifts at both Hopf-lines can be opposite and ...
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Hopf bifurcation analysis of a predator–prey model with Holling-II type functional response and a prey refuge

Nonlinear dynamics, 2019
Yong Zhou   +5 more
semanticscholar   +1 more source

Stability and global Hopf bifurcation in a Leslie–Gower predator-prey model with stage structure for prey

Journal of Applied Mathematics and Computation, 2018
Xin-You Meng   +2 more
semanticscholar   +1 more source

On Hopf bifurcation and control for a delay systems

Applied Mathematics and Computation, 2019
Xiaowei Jiang   +3 more
semanticscholar   +1 more source

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