We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
HORSESHOE IN THE HYPERCHAOTIC MCK CIRCUIT.
- Authors
FANGYAN YANG; QINGDU LI; PING ZHOU
- 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 Poincaré return map, this fact means that there exists hyperchaos in the circuit.
- Subjects
CHAOS theory; ELECTRIC circuits; TOPOLOGY; GEOMETRY; NONLINEAR theories
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2007, Vol 17, Issue 11, p4205
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127407019743