Links and bifurcations in nonsingular Morse-Smale systems

被引：0

作者：

Campos, B

Alfaro, JM

Vindel, P

机构：

[1] Univ Jaume 1, Dept Matemat, E-12071 Castello, Spain

[2] Univ Valencia, Fac Matemat, Dept Matemat Aplicada, Burjassot, Valencia, Spain

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1997年 / 7卷 / 08期

关键词：

D O I：

10.1142/S0218127497001345

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Wada's theorem classifies the set of periodic orbits in NMS systems on S-3 as links, that can be written in terms of six operations. This characterization allows us to study the topological restrictions that links require to suffer a given codimension one bifurcation. Moreover, these results are reproduced in the case of NMS systems with rotational symmetries, introducing new geometrical tools.

引用

页码：1717 / 1736

页数：20

共 24 条

[1]

Birman J., 1983, Contemp. Math., V20, P1, DOI DOI 10.1090/CONM/020/718132

[2] KNOTTED PERIODIC-ORBITS IN DYNAMICAL-SYSTEMS .1. LORENZ EQUATIONS [J].