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

✍ Scribed by Paul M. Geffert (auth.)

Publisher
Springer Spektrum
Year
2015
Tongue
English
Leaves
91
Series
BestMasters
Edition
1
Category
Library
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✦ Synopsis

Paul M. Geffert analyses the interplay of noise and time delay in non-excitable nonlinear systems and the modulation of stochastic effects. In particular, the author studies coherence resonance, which is a constructive effect of noise that occurs in nonlinear systems, and demonstrates that it can be modulated by time-delayed feedback. Analytical methods for the investigation of stochastic delay differential equations are developed. Noise or random perturbations and time delay are two phenomena which arise in many fields of physics, chemistry, or biology, just to mention a few examples. The investigated model is a generic Hopf normal form so that these methods and results can be transferred to many different areas of science.

✦ Table of Contents

Front Matter....Pages i-xiv
Introduction....Pages 1-2
Stochastic effects in nonlinear systems....Pages 3-23
Time-delayed feedback in nonlinear stochastic systems....Pages 25-47
Coupled stochastic systems....Pages 49-59
Conclusion....Pages 61-62
Outlook....Pages 63-63
Back Matter....Pages 65-84

✦ Subjects

Theoretical, Mathematical and Computational Physics; Probability Theory and Stochastic Processes; Mathematical Physics

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