Noise-induced chaos: a conditioned random dynamics perspective
File(s)121102_1_5.0175466.pdf (1.95 MB)
Published version
Author(s)
Bassols Cornudella, B
Lamb, JSW
Type
Journal Article
Abstract
We consider transitions to chaos in random dynamical systems induced by an increase in noise amplitude. We show how the emergence of chaos (indicated by a positive Lyapunov exponent) in a logistic map with bounded additive noise can be analyzed in the framework of conditioned random dynamics through expected escape times and conditioned Lyapunov exponents for a compartmental model representing the competition between contracting and expanding behavior. In contrast to the existing literature, our approach does not rely on small noise assumptions, nor does it refer to deterministic paradigms. We find that the noise-induced transition to chaos is caused by a rapid decay of the expected escape time from the contracting compartment, while all other order parameters remain approximately constant.
Date Issued
2023-12-01
Date Acceptance
2023-11-16
ISSN
1054-1500
Publisher
American Institute of Physics
Journal / Book Title
Chaos: an interdisciplinary journal of nonlinear science
Volume
33
Issue
12
Copyright Statement
© 2023 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license
(http://creativecommons.org/licenses/by/4.0/).
(http://creativecommons.org/licenses/by/4.0/).
Publication Status
Published
Article Number
ARTN 121102
Date Publish Online
2023-12-12