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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/4040

Title: Alien limit cycles in rigid unfoldings of a Hamiltonian 2-saddle cycle
Authors: CAUBERGH, Magdalena
DUMORTIER, Freddy
Roussarie, Robert
Issue Date: 2007
Publisher: AMER INST MATHEMATICAL SCIENCES
Citation: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 6(1). p. 1-21
Abstract: It is known that perturbations from a Hamiltonian 2-saddle cycle F can produce limit cycles that are not covered by the Abelian integral, even when the Abelian integral is generic. These limit cycles are called alien limit cycles. In this paper, extending the results of [6] and [2], we investigate the number of alien limit cycles in generic multi-parameter rigid unfoldings of the Hamiltonian 2-saddle cycle, keeping one connection unbroken at the bifurcation.
Notes: Univ Hasselt, B-3590 Diepenbeek, Belgium. Univ Bourgogne, CNRS, UMR 5584, IMB, F-21078 Dijon, France.Caubergh, M, Univ Hasselt, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.magdalena.caubergh@uhasselt.be freddy.dumortier@uhasselt.be roussari@mail.u-bourgogne.fr
URI: http://hdl.handle.net/1942/4040
Link to publication: http://aimsciences.org/journals/pdfs.jsp?paperID=2145&mode=abstract
ISI #: 000243024100001
ISSN: 1534-0392
Category: A1
Type: Journal Contribution
Validation: ecoom, 2008
Appears in Collections: Research publications

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