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

P. S. Letelier; A. E. Motter

doi:10.1103/PhysRevE.60.3920

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

P. S. Letelier^*, A. E. Motter

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	3920-3927
Number of pages	8
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	60
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.60.3920
State	Published - Jan 1 1999

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Physics and Astronomy(all)

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10.1103/PhysRevE.60.3920

http://dx.doi.org/10.1103/PhysRevE%2E60%2E3920

Cite this

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

Abstract

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