Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media New York
About this chapter
Cite this chapter
Lichtenberg, A.J., Lieberman, M.A. (1992). Chaotic Motion in Dissipative Systems. In: Regular and Chaotic Dynamics. Applied Mathematical Sciences, vol 38. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2184-3_8
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2184-3_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3100-9
Online ISBN: 978-1-4757-2184-3
eBook Packages: Springer Book Archive