Noise-induced riddling in chaotic systems

Y C Lai, C Grebogi, Ying-Cheng Lai

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

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
Volume77
Issue number25
Publication statusPublished - 16 Dec 1996

Keywords

  • BASINS
  • ATTRACTORS
  • INTERMITTENCY

Cite this

Lai, Y. C., Grebogi, C., & Lai, Y-C. (1996). Noise-induced riddling in chaotic systems. Physical Review Letters, 77(25), 5047-5050.

Noise-induced riddling in chaotic systems. / Lai, Y C ; Grebogi, C ; Lai, Ying-Cheng.

In: Physical Review Letters, Vol. 77, No. 25, 16.12.1996, p. 5047-5050.

Research output: Contribution to journalArticle

Lai, YC, Grebogi, C & Lai, Y-C 1996, 'Noise-induced riddling in chaotic systems', Physical Review Letters, vol. 77, no. 25, pp. 5047-5050.
Lai YC, Grebogi C, Lai Y-C. Noise-induced riddling in chaotic systems. Physical Review Letters. 1996 Dec 16;77(25):5047-5050.
Lai, Y C ; Grebogi, C ; Lai, Ying-Cheng. / Noise-induced riddling in chaotic systems. In: Physical Review Letters. 1996 ; Vol. 77, No. 25. pp. 5047-5050.
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