6533b828fe1ef96bd128853b
RESEARCH PRODUCT
Bifurcations of links of periodic orbits in non-singular Morse–Smale systems with a rotational symmetry on S3
B. CamposP. VindelJ. Martínez Alfarosubject
Pure mathematicsExistential quantificationRotational symmetryCodimensionCharacterization (mathematics)Morse codeTopologyNMS systemslaw.inventionSet (abstract data type)BifurcationslawSymmetric linksGeometry and TopologySymmetry (geometry)BifurcationMathematicsdescription
Abstract In this paper we consider a rotational symmetry on a non-singular Morse–Smale (NMS) system analyzing the restrictions this symmetry imposes on the links defined by the set of its periodic orbits and to the appearance of local generic codimension one bifurcations in the set of NMS flows on S 3 . The topological characterization is obtained by writing the involved links in terms of Wada operations. It is also obtained that symmetry implies that in general bifurcations have to be multiple. On the other hand, we also see that there exists a set of links that cannot be related to any other by sequences of this kind of bifurcation.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-04-01 | Topology and its Applications |