BIFURCATIONS OF LINKS OF PERIODIC-ORBITS IN NONSINGULAR SYSTEMS WITH 2 ROTATIONAL SYMMETRIES ON S-3

Authors
CAMPOS B ALFARO JM VINDEL P
Citation
B. Campos et al., BIFURCATIONS OF LINKS OF PERIODIC-ORBITS IN NONSINGULAR SYSTEMS WITH 2 ROTATIONAL SYMMETRIES ON S-3, Journal of knot theory and its ramifications, 6(2), 1997, pp. 163-176
Citations number
8
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of knot theory and its ramifications → ACNP
ISSN journal
02182165
Volume
6
Issue
2
Year of publication
1997
Pages
163 - 176
Database
ISI
SICI code
0218-2165(1997)6:2<163:BOLOPI>2.0.ZU;2-U
Abstract
A topological characterization of all possible links composed of the p eriodic orbits of a Non Singular Morse-Smale flow on S-3 has been made by M. Wada. The presence of symmetry forces the appearance of given t ypes of links. In this paper we introduce a geometrical tool to repres ent these type of Links when a symmetry around two axes is considered on NMS systems: mosaics. On the other hand, we use mosaics to study wh at kind of bifurcation can occur in this type of system maintaining th e symmetry.