Noise-Induced Resonance in Bistable Systems Caused by Delay Feedback

DOI10.1080/07362990500397715zbMath1104.34057OpenAlexW1983306499MaRDI QIDQ3375543

Peter Imkeller, Markus Fischer

Publication date: 14 March 2006

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362990500397715

zbMATH Keywords

stochastic resonancestochastic delay differential equationeffective dynamicsstochastic synchronisation

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Sample path properties (60G17) Stochastic functional-differential equations (34K50) Oscillation theory of functional-differential equations (34K11) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Related Items (1)

Stochastic dynamics of a delayed bistable system with multiplicative noise

Cites Work

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• Transition times and stochastic resonance for multidimensional diffusions with time periodic drift: a large deviations approach
• Bifurcation analysis of a class of first-order nonlinear delay-differential equations with reflectional symmetry
• Metastability in reversible diffusion processes. I: Sharp asymptotics for capacities and exit times
• Metastability in reversible diffusion processes. II: Precise asymptotics for small eigenvalues
• Stochastic resonance as a model for financial market crashes and bubbles
• Random Perturbations of Dynamical Systems
• Markov Chains
• MODEL REDUCTION AND STOCHASTIC RESONANCE

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