2001/12/19 by G. M. Zaslavsky, Zaslavsky, G. M., M. Edelman +2
Arts and Humanities · Physics and Astronomy · Social Sciences · #Archaeology and Historical Studies #Chaotic Dynamics (nlin.CD) #Classical Antiquity Studies #FOS: Physical sciences #Historical, Religious, and Philosophical Studies #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0112033
24 pages, 11 figures
openalex publication_date 2001/12/19 · arxiv created 2002/01/04 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
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: Poincare recurrences, continued fractions, log-periodicity, rhombic billiards, and others. Pseudochaotic dynamics and fractional kinetics can be applied to streamlines or magnetic field lines behavior.