BIFURCATIONS OF LINKS OF PERIODIC-ORBITS IN NONSINGULAR MORSE-SMALE SYSTEMS ON S-3

Authors
CAMPOS B ALFARO JM VINDEL P
Citation
B. Campos et al., BIFURCATIONS OF LINKS OF PERIODIC-ORBITS IN NONSINGULAR MORSE-SMALE SYSTEMS ON S-3, Nonlinearity, 10(5), 1997, pp. 1339-1355
Citations number
16
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
10
Issue
5
Year of publication
1997
Pages
1339 - 1355
Database
ISI
SICI code
0951-7715(1997)10:5<1339:BOLOPI>2.0.ZU;2-N
Abstract
The set of periodic orbits of a non-singular Morse-Smale (NMS) flow on S-3 defines a link; a characterization of all possible links of NMS f lows on S-3 has been developed by Wada. In the frame of codimension-on e bifurcations, this characterization allows us to study the restricti ons a link requires for suffering a given bifurcation. We also derive the topological description of the new link and the possibility of rel ating links by a chain of this type of bifurcation.