Effect of chaotic noise on multistable systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 54, Issue 4 SUPPL. A, 1996, Pages 3149-3156

  Hondou, Tsuyoshi ^a,b   Sawada, Yasuji ^b  

^a KYOTO UNIVERSITY   (Japan)

^b TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000742171     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.54.3149     Document Type: Article

References (40)

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36. The first analytical derivation, limited for the tent map, for the barrier crossing probability appeared in T. Hondou, J. Phys. Soc. Jpn. 63, 2014 (1994). The origin of the discovery of the asymmetric effect of chaotic noise can be found in Ref. [15].
37. c/2,..., for one barrier crossing event gives an example.
38. If A<1, η*becomes a stable fixed point, where the map cannot generate a noisy time series. Therefore, the state of the edge of chaos, A = 1 + ε (ε≪1 ), maximizes the barrier crossing probability induced by the chaotic noise.
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40. S. Tasaki (unpublished).