Homoclinic crossing in open systems: Chaos in periodically perturbed monopole plus quadrupolelike potentials

Details Homoclinic crossing in open systems: Chaos in periodically perturbed monopole plus quadrupolelike potentials Homoclinic crossing in open systems: Chaos in periodically perturbed monopole plus quadrupolelike potentials

2002-03-23

arxiv.org/abs/astro-ph/0203419v1

Phys.Rev. E60 (1999) 3920

Astronomy and Astrophysics

Astrophysics

19 pages, 15 figures, Revtex4

Scientific paper

10.1103/PhysRevE.60.3920

The Melnikov method is applied to periodically perturbed open systems modeled by an inverse--square--law attraction center plus a quadrupolelike term. A compactification approach that regularizes periodic orbits at infinity is introduced. The (modified) Smale-Birkhoff homoclinic theorem is used to study transversal homoclinic intersections. A larger class of open systems with degenerated (nonhyperbolic) unstable periodic orbits after regularization is also briefly considered.

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