Name
Abstract | ||
|---|---|---|
In this paper, we use the standard bifurcation theory to study rich dynamics of time-delayed coupling discrete oscillators. Equivariant bifurcations including equivariant Neimark-Sacker bifurcation, equivariant pitchfork bifurcation and equivariant periodic doubling bifurcation are analyzed in detail. In the application, we consider a ring of identical discrete delayed Ikeda oscillators. Multiple oscillation patterns, such as multiple stable equilibria, stable limit cycles, stable invariant tori and multiple chaotic attractors, are shown. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1142/S0218127408021117 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
pitchfork/period-doubling/Neimark-Sacker bifurcation, D-N equivariant bifurcations, oscillation patterns, discrete maps, chaotic attractors | Journal | 18 |
Issue | ISSN | Citations |
5 | 0218-1274 | 1 |
PageRank | References | Authors |
0.41 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mingshu Peng | 1 | 15 | 5.67 |
| Yuan Yuan | 2 | 21 | 5.34 |