Nonlinear Dynamics of Chaotic and Stochastic Systems Tutorial and Modern Developments /

• Main Authors: Anishchenko, Vadim S. (Author), Astakhov, Vladimir (Author), Vadivasova, Tatjana (Author), Neiman, Alexander (Author), Schimansky-Geier, Lutz (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Springer Series in Synergetics,
• Subjects: Physics.; Applied mathematics.; Engineering mathematics.; Probabilities.; Statistical physics.; Dynamical systems.; Vibration.; Dynamics.; Statistical Physics, Dynamical Systems and Complexity.; Mathematical Methods in Physics.; Probability Theory and Stochastic Processes.; Applications of Mathematics.; Vibration, Dynamical Systems, Control.

This book is a complete treatise on the theory of nonlinear dynamics of chaotic and stochastic systems. It contains both an exhaustive introduction to the subject as well as a detailed discussion of fundamental problems and research results in a field to which the authors have made important contrib...

Table of Contents:

• Tutorial
• Dynamical Systems
• Fluctuations in Dynamical Systems
• Synchronization of Periodic Systems
• Dynamical Chaos
• Routes to Chaos
• Statistical Properties of Dynamical Chaos
• Synchronization of Chaos
• Effects of Synchronization in Extended Self-Sustained Oscillatory Systems
• Synchronization in Living Systems
• Controlling Chaos
• Reconstruction of Dynamical Systems
• Stochastic Dynamics
• Stochastic Resonance
• Synchronization of Stochastic Systems
• The Beneficial Role of Noise in Excitable Systems
• Noise Induced Transport.