Stochastic Non-Excitable Systems with Time Delay

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Modulation of Noise Effects by Time-Delayed Feedback, BestMasters

ISBN: 3658092947
ISBN 13: 9783658092948
Autor: Geffert, Paul M
Verlag: Springer Spektrum
Umfang: xiv, 84 S., 41 s/w Illustr., 84 p. 41 illus.
Erscheinungsdatum: 24.03.2015
Auflage: 1/2015
Format: 0.6 x 21 x 14.7
Gewicht: 144 g
Produktform: Kartoniert
Einband: Kartoniert

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.Contents – Stochastic Effects in Nonlinear Systems Coherence Resonance TimeDelayed 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 AuthorPaul 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.

Artikelnummer: 7873934 Kategorie:

Beschreibung

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.

Autorenporträt

Paul M. Geffert wrote his masters 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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E-Mail: juergen.hartmann@springer.com

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