Horseshoe in the hyperchaotic MCK circuit
F Yang, Q Li, P Zhou - International Journal of Bifurcation and …, 2007 - World Scientific
F Yang, Q Li, P Zhou
International Journal of Bifurcation and Chaos, 2007•World ScientificThe 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.
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.
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.
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