Chaos on a Catastrophe Manifold
The work reported here grew out of an attempt to develop a global understanding of the bifurcations and chaotic dynamics in a bi-stable chaotic oscillator [10,3]. Our theoretical work follows Zeeman’s programme of incorporating non-trivial dynamics into Catastrophy theory modelling by allowing control parameters to have a state-dependent component . We note that this is similar in spirit to the approach adopted by King and Swinney who treated a state parameter as if it were a control parameter in their experimental investigation of the stability of wavy Taylor vortices .
KeywordsChaotic System Catastrophe Theory Pitchfork Bifurcation Negative Resistor Branch Line
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