Stochastic Non-Excitable Systems with Time Delay Modulation of Noise Effects by Time-Delayed Feedback

Stochastic effects in nonlinear dynamical systems are an important field of state of-the-art research. The interplay of noise, nonlinearity, and time-delayed feedback leads to a wealth of novel, unexpected phenomena, such as stochastic bifurcations, coherence resonance, etc. Stochastic bifurcatio...

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Bibliographic Details
Main Author: Geffert, Paul M
Format: Book
Language:English
Published: Springer 2015
Subjects:
Online Access:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57383
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Institutions: Thư viện Trường Đại học Đà Lạt
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Summary:Stochastic effects in nonlinear dynamical systems are an important field of state of-the-art research. The interplay of noise, nonlinearity, and time-delayed feedback leads to a wealth of novel, unexpected phenomena, such as stochastic bifurcations, coherence resonance, etc. Stochastic bifurcation denotes the transition from a monomodal to a bimodal stationary probability distribution, and coherence res onance is a counterintuitive effect which describes the nonmonotonic dependence of the coherence of noise-induced oscillations upon noise strength, resulting in an optimum coherence at non-zero noise strength...