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rdf:type
lifeskim:mentions
pubmed:issue
3 Pt 2
pubmed:dateCreated
2005-10-24
pubmed:abstractText
We consider the resonant effects of chaotic fluctuations on a strongly damped particle in a bistable potential driven by weak sinusoidal perturbation. We derive analytical expressions of chaos-induced transition rate between the neighboring potential wells based on the inhomogeneous Smoluchowski equation. Our first-order analysis reveals that the transition rate has the form of the Kramers escape rate except for a perturbed prefactor. This modification to the prefactor is found to arise from the statistical asymmetry of the chaotic noise. By means of the two-state model and the chaos-induced transition rate, we arrive at an analytical expression of the signal-to-noise ratio (SNR). Our first-order SNR shows that chaotic resonance can correspond directly to stochastic resonance.
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Sep
pubmed:issn
1539-3755
pubmed:author
pubmed:issnType
Print
pubmed:volume
72
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
036222
pubmed:year
2005
pubmed:articleTitle
Chaotic resonance: two-state model with chaos-induced escape over potential barrier.
pubmed:affiliation
School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637616.
pubmed:publicationType
Journal Article