Synchronization in Oscillatory Networks

• Main Authors: Osipov, Grigory V. (Author), Kurths, Jürgen (Author), Zhou, Changsong (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.; Dynamics.; Ergodic theory.; Game theory.; System theory.; Mechanics.; Biophysics.; Biological physics.; Statistical physics.; Dynamical systems.; Statistical Physics, Dynamical Systems and Complexity.; Systems Theory, Control.; Dynamical Systems and Ergodic Theory.; Game Theory, Economics, Social and Behav. Sciences.; Biophysics and Biological Physics.

The formation of collective behavior in large ensembles or networks of coupled oscillatory elements is one of the oldest and most fundamental aspects of dynamical systems theory. Potential and present applications span a vast spectrum of fields ranging from physics, chemistry, geoscience, through li...

Table of Contents:

• Basics on Synchronization and Paradigmatic Models
• Basic Models
• Synchronization Due to External Periodic Forcing
• Synchronization of Two Coupled Systems
• Synchronization in Geometrically Regular Ensembles
• Ensembles of Phase Oscillators
• Chains of Coupled Limit-Cycle Oscillators
• Ensembles of Chaotic Oscillators with a Periodic-Doubling Route to Chaos, R#x00F6;ssler Oscillators
• Intermittent-Like Oscillations in Chains of Coupled Maps
• Regular and Chaotic Phase Synchronization of Coupled Circle Maps
• Controlling Phase Synchronization in Oscillatory Networks
• Chains of Limit-Cycle Oscillators
• Chains and Lattices of Excitable Luo–Rudy Systems
• Synchronization in Complex Networks and Influence of Noise
• Noise-Induced Synchronization in Ensembles of Oscillatory and Excitable Systems
• Networks with Complex Topology.