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Fractional Kinetics in Pseudochaotic Systems and Its Applications.

Fractional Kinetics in Pseudochaotic Systems and Its Applications.

Authors :
Sabatier, Jocelyn
Agrawal, Om Prakash
Machado, J. A. Tenreiro
Zaslavsky, George M.
Source :
Advances in Fractional Calculus; 2007, p127-138, 12p
Publication Year :
2007

Abstract

The phenomenon of stickiness of the dynamical trajectories to the domains of periodic orbits (islands), or simply to periodic orbits, can be considered a primary source of the fractional kinetic equation (FKE). An additional condition for the FKE occurrence is a property of the corresponding sticky domains to have space-time invariance under the space-time renormalization transform. The dynamics in some class of polygonal billiards is pseudochaotic (i.e., dynamics is random but the Lyapunov exponent is zero), and the corresponding features of the self-similarity are reflected in the discrete space-time renormalization invariance. We consider an example of such a billiard and its dynamical and kinetic properties that leads to the FKE. Keywords Fractional kinetics, pseudochaos, recurrences, billiards. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISBNs :
9781402060410
Database :
Supplemental Index
Journal :
Advances in Fractional Calculus
Publication Type :
Book
Accession number :
33094034
Full Text :
https://doi.org/10.1007/978-1-4020-6042-7_9