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Stochastic Non-Excitable Systems with Time Delay

Modulation of Noise Effects by Time-Delayed Feedback

  • Book
  • © 2015

Overview

Authors:
  1. Paul M. Geffert

    1. School of Mathematical Sciences Queen Mary University of London, London, United Kingdom

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  • Publication in the field of natural sciences?
  • Includes supplementary material: sn.pub/extras

Part of the book series: BestMasters (BEST)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Introduction

    • Paul M. Geffert
    Pages 1-2

  3. Stochastic effects in nonlinear systems

    • Paul M. Geffert
    Pages 3-23

  4. Time-delayed feedback in nonlinear stochastic systems

    • Paul M. Geffert
    Pages 25-47

  5. Coupled stochastic systems

    • Paul M. Geffert
    Pages 49-59

  6. Conclusion

    • Paul M. Geffert
    Pages 61-62

  7. Outlook

    • Paul M. Geffert
    Pages 63-63

  8. Back Matter

    Pages 65-84
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Keywords

About this book

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.

Authors and Affiliations

  • School of Mathematical Sciences Queen Mary University of London, London, United Kingdom

    Paul M. Geffert

About the author

Paul M. Geffert wrote his master’s thesis under the supervision of Prof. Dr. Eckehard Schöll, PhD in the Collaborative Research Center SFB 910 at the Institute of Theoretical Physics at TU Berlin. In 2015 he will start his PhD studies at Queen Mary University of London.

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