Chaotic Motion in Dissipative Systems
In Section 7.6 we showed how a crisis can cause a strange attractor to disappear, leading to a motion that can be transiently chaotic. A necessary condition for transient chaos, that the motion near a perturbed separatrix be chaotic, was described in Section 7.7. In this section, we consider the phenomenon of transient chaos, including a calculation of the transient distribution using a Fokker-Planck equation, and a calculation of the absorption rate into stable attracting fixed points. We also describe the transition from transient chaos to a steady state chaotic attractor due to a crisis. We defer consideration of steady state distributions for chaotic attractors to Section 8.2.
KeywordsRayleigh Number Hopf Bifurcation Chaotic Attractor Chaotic Motion Strange Attractor
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