HETEROCLINIC CYCLES EMANATING FROM LOCAL BIFURCATIONS

Authors
WU W ZOU YK HUANG MY
Citation
W. Wu et al., HETEROCLINIC CYCLES EMANATING FROM LOCAL BIFURCATIONS, Manuscripta mathematica, 85(3-4), 1994, pp. 381-392
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Manuscripta mathematica → ACNP
ISSN journal
00252611
Volume
85
Issue
3-4
Year of publication
1994
Pages
381 - 392
Database
ISI
SICI code
0025-2611(1994)85:3-4<381:HCEFLB>2.0.ZU;2-F
Abstract
We study the double singular point of nonlinear Z(2)-symmetric systems with two parameters, where the systems have a two-dimensional null sp ace. We show the existence of a path of heteroclinic cycles bifurcatin g from the double singular point, thus provide a new approach through local steady-state bifurcations to global dynamical bifurcations.