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Controlling Synchronization Patterns in Complex Networks / by Judith Lehnert.

SpringerLink Books Physics and Astronomy eBooks 2016 Available online

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Format:
Book
Author/Creator:
Lehnert, Judith., Author.
Series:
Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Language:
English
Subjects (All):
Physics.
Neural networks (Computer science).
Chemistry, Physical and theoretical.
Vibration.
Dynamics.
System theory.
Applications of Graph Theory and Complex Networks.
Mathematical Models of Cognitive Processes and Neural Networks.
Physical Chemistry.
Vibration, Dynamical Systems, Control.
Systems Theory, Control.
Local Subjects:
Applications of Graph Theory and Complex Networks.
Mathematical Models of Cognitive Processes and Neural Networks.
Physical Chemistry.
Vibration, Dynamical Systems, Control.
Systems Theory, Control.
Physical Description:
1 online resource (213 p.)
Edition:
1st ed. 2016.
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2016.
Language Note:
English
Summary:
This research aims to achieve a fundamental understanding of synchronization and its interplay with the topology of complex networks. Synchronization is a ubiquitous phenomenon observed in different contexts in physics, chemistry, biology, medicine and engineering. Most prominently, synchronization takes place in the brain, where it is associated with several cognitive capacities but is - in abundance - a characteristic of neurological diseases. Besides zero-lag synchrony, group and cluster states are considered, enabling a description and study of complex synchronization patterns within the presented theory. Adaptive control methods are developed, which allow the control of synchronization in scenarios where parameters drift or are unknown. These methods are, therefore, of particular interest for experimental setups or technological applications. The theoretical framework is demonstrated on generic models, coupled chemical oscillators and several detailed examples of neural networks.
Contents:
Introduction
Complex Dynamical Networks
Synchronization In Complex Networks
Control of Synchronization Transitions by Balancing Excitatory and Inhibitory Coupling
Cluster and Group Synchrony: The Theory
Zero-Lag and Cluster Synchrony: Towards Applications
Adaptive Control
Adaptive Time-Delayed Feedback Control
Adaptive Control of Cluster States in Network Motifs
Adaptive Topologies
Conclusion.
Notes:
Description based upon print version of record.
Includes bibliographical references at the end of each chapters and index.
ISBN:
3-319-25115-5

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