Noise-Induced Riddling in Chaotic Systems
Journal Article
·
· Physical Review Letters
- Departments of Physics and Astronomy and of Mathematics, The University of Kansas, Lawrence, Kansas 66045 (United States)
Recent works have considered the situation of riddling where, when a chaotic attractor lying in an invariant subspace is {ital transversely} {ital stable}, the basin of the attractor can be riddled with holes that belong to the basin of another attractor. We show that riddling can be induced by arbitrarily small random noise {ital even} {ital if} {ital the} {ital attractor} {ital is} {ital transversely} {ital unstable}, and we obtain universal scaling laws for noise-induced riddling. Our results imply that the phenomenon of riddling can be more prevalent than expected before, as noise is practically inevitable in dynamical systems. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 404077
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 25 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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