Phys. Rev. E 60, 3920–3927 (1999)Homoclinic crossing in open systems: Chaos in periodically perturbed monopole plus quadrupolelike potentialsReceived 2 March 1999; published in the issue dated October 1999 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. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.60.3920
DOI:
10.1103/PhysRevE.60.3920
PACS:
05.45.-a, 45.05.+x, 95.10.Ce
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