Dynamics near Resonance Junctions in Hamiltonian Systems

Details Dynamics near Resonance Junctions in Hamiltonian Systems Dynamics near Resonance Junctions in Hamiltonian Systems

1999-06-15

arxiv.org/abs/chao-dyn/9906025v1

Nonlinear Sciences

Chaotic Dynamics

14pages,2figures

Scientific paper

10.1143/PTP.102.937

An approximate Poincare map near equally strong multiple resonances is
reduced by means the method of averaging. Near the resonance junction of three
degrees of freedom, we find that some homoclinic orbits ``whiskers'' in single
resonance lines survive and form nearly periodic orbits, each of which looks
like a pair of homoclinic orbits.

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