Bistable chaos. I. Unfolding the cusp
- 1 September 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 46 (6), 3092-3099
- https://doi.org/10.1103/physreva.46.3092
Abstract
We describe a simple and intuitive model that relates the catastrophe theory unfolding of a double-well potential with the unfolding of a bimodal map characterizing the dynamics of an autonomous chaotic van der Pol–Duffing oscillator. The construction of the model was facilitated by developing an analogy with the stochastic dynamics of a particle in a double-well potential. Experimental evidence supporting the model is given.Keywords
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