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Pseudochaos

In: Perspectives and Problems in Nolinear Science

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  • G. M. Zaslavsky
  • M. Edelman

Abstract

A family of the billiard-type systems with zero Lyapunov exponent is considered as an example of dynamics which is between the regular one and chaotic mixing. This type of dynamics is called “pseudochaos”. We demonstrate how the fractional kinetic equation can be introduced for the pseudochaos and how the main critical exponents of the fractional kinetics can be evaluated from the dynamics. Problems related to pseudochaos are discussed: Poincaré recurrences, continued fractions, log-periodicity, rhombic billiards, and others. Pseudochaotic dynamics and fractional kinetics can be applied to streamlines or magnetic field lines behavior.

Suggested Citation

  • G. M. Zaslavsky & M. Edelman, 2003. "Pseudochaos," Springer Books, in: Ehud Kaplan & Jerrold E. Marsden & Katepalli R. Sreenivasan (ed.), Perspectives and Problems in Nolinear Science, chapter 14, pages 421-443, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-21789-5_14
    DOI: 10.1007/978-0-387-21789-5_14
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