Name
Abstract | ||
|---|---|---|
In this paper we revisit a switching circuit designed by the authors and present a theoretical analysis on the existence of chaos in this circuit. For the ordinary differential equations describing this circuit, we give a computer-aided proof in terms of cross-section and Poincare map, by applying a modern theory of topological horseshoes theory to the obtained Poincare map, that this map is semiconjugate to the two-shift map. This implies that the corresponding differential equations exhibit chaos. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1142/S0218127405011631 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
horseshoe, Poincare map, chaos generator, switching circuit | Journal | 15 |
Issue | ISSN | Citations |
7 | 0218-1274 | 3 |
PageRank | References | Authors |
0.68 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaosong Yang | 1 | 378 | 52.10 |
| Qingdu Li | 2 | 160 | 26.78 |