Laminar–localized-phase coexistence in dynamical systems
- 1 March 1995
- journal article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 51 (3) , 1818-1821
- https://doi.org/10.1103/physreve.51.1818
Abstract
A one-dimensional map is introduced which exhibits an intermittent chaotic behavior with coexisting laminar and localized phases. The generated trajectories demonstrate the interplay between the two competing motion modes and are analyzed in terms of Lévy statistics. The mean-squared displacements and the propagators of the motion are calculated and their relationship to an experimental realization is discussed.Keywords
This publication has 18 references indexed in Scilit:
- Random Walks in the Standard MapEurophysics Letters, 1994
- Lévy walks and propagators in intermittent chaotic systemsPhysical Review E, 1993
- Scale-invariant motion in intermittent chaotic systemsPhysical Review E, 1993
- Channeling and percolation in two-dimensional chaotic dynamicsChaos: An Interdisciplinary Journal of Nonlinear Science, 1991
- Anomalous transport of streamlines due to their chaos and their spatial topologyPhysics Letters A, 1990
- Random walks in liquidsThe Journal of Physical Chemistry, 1989
- GenericNoise in Chaotic Hamiltonian DynamicsPhysical Review Letters, 1987
- Accelerated Diffusion in Josephson Junctions and Related Chaotic SystemsPhysical Review Letters, 1985
- Anomalous Diffusion in Intermittent Chaotic SystemsPhysical Review Letters, 1984
- Long-time correlations in the stochastic regimePhysica D: Nonlinear Phenomena, 1983