Advertisement

Controlling Synchronization Patterns in Complex Networks

  • Judith Lehnert

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Judith Lehnert
    Pages 1-14
  3. Judith Lehnert
    Pages 15-29
  4. Stability of Synchronization

  5. Adaptive Control of Synchronization

    1. Front Matter
      Pages 127-127
    2. Judith Lehnert
      Pages 129-132
    3. Judith Lehnert
      Pages 133-146
    4. Judith Lehnert
      Pages 165-188
    5. Judith Lehnert
      Pages 189-194
  6. Back Matter
    Pages 195-203

About this book

Introduction

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.

Keywords

Adaptive control Adaptive networks Adaptive time-delayed feedback control Adaptive topologies Cluster synchronization Coupled chemical oscillators Delay differential equation Master stability function Neural networks Nonlinear dynamical systems Synchronization of complex networks

Authors and affiliations

  • Judith Lehnert
    • 1
  1. 1.Institut für Theoretische PhysikTechnical University BerlinBerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-25115-8
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-25113-4
  • Online ISBN 978-3-319-25115-8
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site