Stochastic Non-Excitable Systems with Time Delay

Modulation of Noise Effects by Time-Delayed Feedback
2015
ISBN: 978-3-658-09294-8
Verlag: Springer

Buch, Englisch, 84 Seiten, Paperback, Format (B × H): 148 mm x 210 mm, Gewicht: 1408 g

Reihe: BestMasters

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.

Zielgruppe

Research

Autoren/Hrsg.

Geffert, Paul M.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Nichtlineare Wissenschaft

Inhaltsverzeichnis

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

Über Autor(innen)

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.