Bifurcations without parameters

Bifurcation and Simulations

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The following pictures illustrate some elements of the nonlinear dynamics near equilibrium manifolds. Interesting dynamics arise at points where normal hyperbolicity of this manifold is violated. Due to the analogies of our results and methods with bifurcation theory, we call the emerging theory bifurcation without parameters. In particular, analogues to Andronov-Hopf points and Bogdanov-Takens points are displayed.
TOPIC AUTHOR INST: Free University Berlin, Germany
AUTHOR MAIL:Freie Universitaet Berlin Institut fuer Mathematik I Arnimallee 2-6 D - 14195 Berlin Germany
AUTHOR EMAIL:fiedler@math.fu-berlin.de, liebsch@math.fu-berlin.de

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