Stochastic Non-Excitable Systems with Time Delay

Modulation of Noise Effects by Time-Delayed Feedback

  • Paul M. Geffert

Part of the BestMasters book series (BEST)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Paul M. Geffert
    Pages 1-2
  3. Paul M. Geffert
    Pages 3-23
  4. Paul M. Geffert
    Pages 49-59
  5. Paul M. Geffert
    Pages 61-62
  6. Paul M. Geffert
    Pages 63-63
  7. Back Matter
    Pages 65-84

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.


  • Stochastic Effects in Nonlinear Systems
  • Coherence Resonance
  • Time-Delayed Feedback in Nonlinear Stochastic Systems
  • Coupled Stochastic Systems

 Target Groups

  • Researchers and students in the field of nonlinear dynamics, stochastic processes and stochastic delay differential equations
  • Practitioners in these areas

 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.


Coherence Resonance Coupled Stochastic Systems Nonlinear Dynamics Nonlinear Systems Stochastic Effects

Authors and affiliations

  • Paul M. Geffert
    • 1
  1. 1.School of Mathematical Sciences Queen Mary University of LondonLondonUnited Kingdom

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