BIFURCATIONS OF A PAIR OF NONORIENTABLE HETEROCLINIC CYCLES

Authors
QI DW JING ZJ
Citation
Dw. Qi et Zj. Jing, BIFURCATIONS OF A PAIR OF NONORIENTABLE HETEROCLINIC CYCLES, Journal of mathematical analysis and applications, 222(2), 1998, pp. 319-338
Citations number
14
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
222
Issue
2
Year of publication
1998
Pages
319 - 338
Database
ISI
SICI code
0022-247X(1998)222:2<319:BOAPON>2.0.ZU;2-B
Abstract
In this paper we study the bifurcations of a pair of nonorientable het eroclinic cycles. In addition to the obvious and important bifurcation ''Omega-explosion,'' several other bifurcations, for example, homocli nic and heteroclinic bifurcation behaviors, are described in terms of symbolic sequences and symbolic descriptions of trajectories staying f orever in a sufficiently small neighborhood of the cycles are establis hed. (C) 1998 Academic Press.