On the time function of the Dulac map for families of meromorphic vector fields

, and

Published 7 March 2003 • Published under licence by IOP Publishing Ltd
, , Citation P Mardesić et al 2003 Nonlinearity 16 855 DOI 10.1088/0951-7715/16/3/305

Download Article PDF

Article metrics

79 Total downloads

Share this article

Author affiliations

1 Laboratoire de Topologie, Faculté des Sciences Mirande, Université de Bourgogne, 21078 Dijon, France

2 Dept. de Matemàtiques, Facultat de Ciències, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain

3 Dept. d'Enginyeria Informàtica i Matemàtiques, ETSE, Universitat Rovira i Virgili, 43007 Tarragona, Spain

4 Supported by the Conseil Régional de Bourgogne under the grant 01-5143-27-00021.

5 Supported through a European Community Marie Curie Fellowship.

Dates

  1. Received 3 July 2002
  2. Published

Buy this article in print

Journal RSS
Sign up for new issue notifications
0951-7715/16/3/855

Abstract

Given an analytic family of vector fields in Bbb R2 having a saddle point, we study the asymptotic development of the time function along the union of the two separatrices. We obtain a result (depending uniformly on the parameters) which we apply to investigate the bifurcation of critical periods of quadratic centres.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue

Recommended by L Bunimovich

10.1088/0951-7715/16/3/305