Hopf-takens bifurcations and centres

Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/2294

Title:	Hopf-takens bifurcations and centres
Authors:	CAUBERGH, Magdalena DUMORTIER, Freddy
Issue Date:	2004
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Source:	JOURNAL OF DIFFERENTIAL EQUATIONS, 202(1). p. 1-31
Abstract:	The paper deals with Hopf-Takens bifurcations, both in generic families and in families containing centres. Attention goes to the relation between normal forms, Lyapunov coefficients and the Bautin ideal. In case the Bautin ideal has only one generator we pay attention to the first non-zero Melnikov function. (C) 2004 Elsevier Inc. All rights reserved.
Notes:	Limburgs Univ Ctr, B-3590 Diepenbeek, Belgium.Dumortier, F, Limburgs Univ Ctr, Univ Campus, B-3590 Diepenbeek, Belgium.magdalena.caubergh@luc.ac.be freddy.dumortier@luc.ac.be
Keywords:	Hopf singularity; centers; limit cycles; generic bifurcation diagrams; normal forms; lyapunov coefficients; bautin ideal; Melnikov functions
Document URI:	http://hdl.handle.net/1942/2294
ISSN:	0022-0396
e-ISSN:	1090-2732
DOI:	10.1016/j.jde.2004.03.018
ISI #:	000221968000001
Category:	A1
Type:	Journal Contribution
Validations:	ecoom 2005
Appears in Collections:	Research publications

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