Stochastic non-excitable systems with time delay : modulation of noise effects by time-delayed feedback /

Stochastic non-excitable systems with time delay : modulation of noise effects by time-delayed feedback /

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Bibliographic Details
Author / Creator:	Geffert, Paul M., author.
Imprint:	Wiesbaden : Springer Spektrum, [2015] ©2015
Description:	1 online resource.
Language:	English
Series:	BestMasters BestMasters.
Subject:	Nonlinear acoustics. Stochastic systems. Nonlinear systems. Nonlinear acoustics. Nonlinear systems. Stochastic systems.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11092430

Hidden Bibliographic Details
ISBN:	9783658092955 3658092955 3658092947 9783658092948 9783658092948
Notes:	Includes bibliographical references. Online resource; title from PDF title page (EBSCO, viewed March 25 2015).
Summary:	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 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.
Other form:	Printed edition: 9783658092948
Standard no.:	10.1007/978-3-658-09295-5

Description
Summary:	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.
Physical Description:	1 online resource.
Bibliography:	Includes bibliographical references.
ISBN:	9783658092955 3658092955 3658092947 9783658092948