Abstract
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 [11]. 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 [6].
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© 1989 Plenum Press, New York
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Gaito, S.T., King, G.P. (1989). Chaos on a Catastrophe Manifold. In: Abraham, N.B., Albano, A.M., Passamante, A., Rapp, P.E. (eds) Measures of Complexity and Chaos. NATO ASI Series, vol 208. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0623-9_32
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DOI: https://doi.org/10.1007/978-1-4757-0623-9_32
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