期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 15, 期 7, 页码 2271-2275出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127405011631
关键词
horseshoe; Poincare map; chaos generator; switching circuit
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.
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