Abrupt Bifurcation in Chaotic Scatterings

摘要：

Bleher, Ott, and Grebogi numerically studied a chaotic phenomenon in 1989 by investigating a particle scattered by a planar potential field. When the energy E of the particle is slightly less than the peak Ec of the potential, their study shows that there exists an invariant Cantor set in the phase space on which hyperbolic chaotic scattering occurs; otherwise the system is either regular or non-hyperbolic. The bifurcation of dynamics happened at E = Ec is called the abrupt bifurcation and is related to a change in the topology of the energy surface. One aim of this talk is to provide an explanation how the chaotic orbits occur after the bifurcation.

Abrupt Bifurcation in Chaotic Scatterings

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