Title
Horseshoe In The Hyperchaotic Mck Circuit
Abstract
The well-known Matsumoto-Chua-Kobayashi (MCK) circuit is of significance for studying hyperchaos, since it was the first experimental observation of hyperchaos from a real physical system. In this paper, we discuss the existence of hyperchaos in this circuit by virtue of topological horseshoe theory. The two disjoint compact subsets producing a horseshoe found in a specific 3D cross-section, both expand in two directions under the fourth Poincare return map, this fact means that there exists hyperchaos in the circuit.
Year
DOI
Venue
2007
10.1142/S0218127407019743
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
hyperchaos, topological horseshoe, symbolic dynamics, chaotic circuits
Journal
17
Issue
ISSN
Citations 
11
0218-1274
3
PageRank 
References 
Authors
0.50
2
3
Name
Order
Citations
PageRank
Fangyan Yang1223.18
Qingdu Li216026.78
Ping Zhou3638.15