Noise-induced riddling in chaotic systems

Y C Lai, C Grebogi, Ying-Cheng Lai

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)


Recent works have considered the situation of riddling where, when a chaotic attractor lying in an invariant subspace is transversely 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 even if the attractor is transversely 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.

Original languageEnglish
Pages (from-to)5047-5050
Number of pages4
JournalPhysical Review Letters
Issue number25
Publication statusPublished - 16 Dec 1996




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