Homoclinic and heteroclinic orbits in the double scroll attractor
- 1 September 1987
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems
- Vol. 34 (9), 1115-1120
- https://doi.org/10.1109/tcs.1987.1086251
Abstract
Chua, Matsumoto, and others have reported extensive simulation studies on a piecewise-linear model of a simple circuit. There is strong numerical and experimental evidence for chaotic behavior. This paper shows that the observed behavior can be understood using the theory of Shil'nikov bifurcations of homoclinic and heteroclinic orbits.Keywords
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