Early Crisis Induced in Maps with Parametric Noise
- 9 December 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 77 (24) , 4899-4902
- https://doi.org/10.1103/physrevlett.77.4899
Abstract
In this paper a new type of crisis in random maps is studied. The trigger of this new crisis is the tunnel effect induced by a backward tangent bifurcation. This is different from the formerly reported crises caused by the collision of the chaotic attractor with an unstable orbit. The reasons why the characteristic time of this new crisis is super long are given. Another case of crisis triggered by the random collision of the attractor with the system's trapping region boundary can also be found in this model. The two cases of crisis can transform into each other by continuously varying the control parameter.Keywords
This publication has 14 references indexed in Scilit:
- Double Crises in Two-Parameter Dynamical SystemsPhysical Review Letters, 1995
- Trajectory (Phase) Selection in Multistable Systems: Stochastic Resonance, Signal Bias, and the Effect of Signal PhasePhysical Review Letters, 1995
- On-off intermittency in random map latticesPhysical Review E, 1994
- Chaotic parameter variation in maps: pseudoperiodicity, crisis and synchronizationPhysics Letters A, 1994
- Pseudoperiodic driving: Eliminating multiple domains of attraction using chaosPhysical Review Letters, 1991
- Experimental confirmation of the scaling theory for noise-induced crisesPhysical Review Letters, 1991
- Scaling law for characteristic times of noise-induced crisesPhysical Review A, 1991
- Synchronization in chaotic systemsPhysical Review Letters, 1990
- Critical exponents for crisis-induced intermittencyPhysical Review A, 1987
- Chaotic Attractors in CrisisPhysical Review Letters, 1982