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.
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King et al. (1992) studied this question.
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