Stochastic resonance across bifurcation cascades.
basic_science · Level V
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- Record sourced from PubMed, PMID 28415354.
- Also identified by DOI 10.1103/PhysRevE.95.032219.
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Abstract
The classical setting of stochastic resonance is extended to account for parameter variations leading to transitions between a unique stable state, bistability, and multistability regimes, across singularities of various kinds. Analytic expressions for the amplitude and the phase of the response in terms of key parameters are obtained. The conditions for optimal responses are derived in terms of the bifurcation parameter, the driving frequency, and the noise strength.