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Bifurcation Phenomena and Transition to Chaos in Dissipative Systems

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Part of the book series: Applied Mathematical Sciences ((AMS,volume 38))

Abstract

For motion in dissipative systems, the phase space volume contracts onto an attractor of lower dimensionality than the original space. Furthermore, as a system parameter changes, the motion on the attractor may change from regular to chaotic. Although our knowledge of chaotic behavior in dissipative systems is by no means complete, the broad features are now clear, and certain techniques to calculate the properties of the motion have emerged.

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© 1992 Springer Science+Business Media New York

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Lichtenberg, A.J., Lieberman, M.A. (1992). Bifurcation Phenomena and Transition to Chaos 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_7

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  • DOI: https://doi.org/10.1007/978-1-4757-2184-3_7

  • 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

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