Abstract | ||
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This paper presents some rigorous arguments on a chaotic strange attractor in a spacecraft power system, which is a 3D system with hysteresis switching. By carefully picking a suitable cross-section with respect to the attractor, we find a topological horseshoe of the corresponding third-returned Poincare map, thus giving a rigorous verification of the existence of chaos in this system. Numerical computation shows that the two Lyapunov exponents of the Poincare map are both positive and that there exists a two-directional expansion in this horseshoe, suggesting that this attractor is hyperchaotic in nature. |
Year | DOI | Venue |
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2011 | 10.1142/S0218127411029380 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
Chaos, topological horseshoe, Poincare map, spacecraft power system | Journal | 21 |
Issue | ISSN | Citations |
6 | 0218-1274 | 5 |
PageRank | References | Authors |
0.57 | 2 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Qingdu Li | 1 | 160 | 26.78 |
Xiaosong Yang | 2 | 378 | 52.10 |
Shu Chen | 3 | 5 | 0.57 |