Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/2452
Title: Perturbation from an elliptic Hamiltonian of degree four - III global centre
Authors: DUMORTIER, Freddy 
Li, CZ
Issue Date: 2003
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Source: JOURNAL OF DIFFERENTIAL EQUATIONS, 188(2). p. 473-511
Abstract: The paper deals with Lienard equations of the form <(x)over dot> = y, (y) over circle = P(x) + yQ(x) with P and Q polynomials of degree, respectively, 3 and 2. Attention goes to perturbations of the Hamiltonian vector fields with an elliptic Hamiltonian of degree four, exhibiting a global centre. It is proven that the least upper bound of the number of zeros of the related elliptic integral is four, and this is a sharp one. This result permits to prove the existence of Lienard equations of type (3,2) with a quadruple limit cycle, with both a triple and a simple limit cycle, with two semistable limit cycles, with one semistable and two simple limit cycles or with four simple limit cycles. (C) 2002 Elsevier Science (USA). All rights reserved.
Notes: Limburgs Univ Ctr, B-3590 Diepenbeek, Belgium. Peking Univ, Dept Math, Beijing 100871, Peoples R China.Dumortier, F, Limburgs Univ Ctr, Univ Campus, B-3590 Diepenbeek, Belgium.
Document URI: http://hdl.handle.net/1942/2452
ISSN: 0022-0396
e-ISSN: 1090-2732
DOI: 10.1016/S0022-0396(02)00110-9
ISI #: 000180988300006
Category: A1
Type: Journal Contribution
Validations: ecoom 2004
Appears in Collections:Research publications

Show full item record

SCOPUSTM   
Citations

55
checked on Sep 3, 2020

WEB OF SCIENCETM
Citations

63
checked on May 13, 2022

Page view(s)

50
checked on May 19, 2022

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.