Back to Search
Start Over
Fractional Kinetics in Pseudochaotic Systems and Its Applications.
Fractional Kinetics in Pseudochaotic Systems and Its Applications.
- 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