Back to Search
Start Over
HORSESHOE IN THE HYPERCHAOTIC MCK CIRCUIT.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . Nov2007, Vol. 17 Issue 11, p4205-4211. 7p. 2 Diagrams, 4 Graphs. - Publication Year :
- 2007
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CHAOS theory
*ELECTRIC circuits
*TOPOLOGY
*GEOMETRY
*NONLINEAR theories
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 17
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 29417965
- Full Text :
- https://doi.org/10.1142/S0218127407019743