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http://hdl.handle.net/1942/2082
Title: | Alien limit cycles near a Hamiltonian 2-saddle cycle | Authors: | CAUBERGH, Magdalena DUMORTIER, Freddy Roussarie, R |
Issue Date: | 2005 | Publisher: | EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER | Source: | COMPTES RENDUS MATHEMATIQUE, 340(8). p. 587-592 | Abstract: | It is known that perturbations from a Hamiltonian 2-saddle cycle Gamma can produce limit cycles that are not covered by the Abelian integral, even when it is generic. These limit cycles are called alien limit cycles. This phenomenon cannot appear in the case that Gamma is a periodic orbit, a non-degenerate singularity, or a saddle loop. In this Note, we present a way to study this phenomenon in a particular unfolding of a Hamiltonian 2-saddle cycle, keeping one connection unbroken at the bifurcation. | Notes: | Limburgs Univ Ctr, B-3590 Diepenbeek, Belgium. Univ Bourgogne, IMB, CNRS, UMR 5584, F-21078 Dijon, France.Caubergh, M, Limburgs Univ Ctr, Univ Campus, B-3590 Diepenbeek, Belgium.magdalena.caubergh@luc.ac.be freddy.dumortier@luc.ac.be roussari@mail.u-bourgogne.fr | Document URI: | http://hdl.handle.net/1942/2082 | ISSN: | 1631-073X | e-ISSN: | 1778-3569 | DOI: | 10.1016/j.crma.2005.03.009 | ISI #: | 000229174400007 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2006 |
Appears in Collections: | Research publications |
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