Existence and characterization of stable ghost orbits in the Henon map

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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6 pages, 3 figures. Submitted to Physica A

Scientific paper

10.1016/j.physa.2004.06.019

We report a remarkable type of bifurcation: by varying real parameters,
unstable complex orbits may become stable over wide parameter ranges. Thus,
phase diagrams obtained by analizing solely the stability of real solutions may
be incomplete.

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