Bifurcation at Complex Instability

Details Bifurcation at Complex Instability Bifurcation at Complex Instability

1995-08-31

arxiv.org/abs/chao-dyn/9508008v1

Nonlinear Sciences

Chaotic Dynamics

5 pages, self-unpacking uuencoded compressed Postscript, Contribution at the NATO ASI Conference on "Hamiltonian Systems with

Scientific paper

The properties of motion close to the transition of a stable family of periodic orbits to complex instability is investigated with two symplectic 4D mappings, natural extensions of the standard mapping. As for the other types of instabilities new families of periodic orbits may bifurcate at the transition; but, more generally, families of {\sl isolated invariant curves} bifurcate, similar to but distinct from a Hopf bifurcation. The evolution of the stable invariant curves and their bifurcations are described.

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