Bifurcations in a class of polycycles involving two saddle-nodes on a Mobius band

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this paper we study the bifurcations of a class of polycycles, called lips, occurring in generic three-parameter smooth families of vector fields on a Möbius band. The lips consists of a set of polycycles formed by two saddle-nodes, one attracting and the other repelling, connected by the hyperbolic separatrices of the saddle-nodes and by orbits interior to both nodal sectors. We determine, under certain genericity hypotheses, the maximum number of limits cycles that may bifurcate from a graphic belonging to the lips and we describe its bifurcation diagram.
24 pages, 4 figures

Keywords

Dynamical Systems, 34C35; 58F09; 34D30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/171304

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.1951
 http://arxiv.org/abs/0810.1951

Collections

arXiv