Chaos on a Catastrophe Manifold

  • S. T. Gaito
  • G. P. King
Part of the NATO ASI Series book series (NSSB, volume 208)


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].


Chaotic System Catastrophe Theory Pitchfork Bifurcation Negative Resistor Branch Line 
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Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • S. T. Gaito
    • 1
  • G. P. King
    • 1
  1. 1.Nonlinear Systems Laboratory, Mathematics InstituteUniversity of WarwickCoventry CV4 7ALUnited Kingdom

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