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Springer Theses

Controlling Synchronization Patterns in Complex Networks

Authors: Lehnert, Judith

  • Nominated as an outstanding Ph.D. thesis by the Technische Universität Berlin, Germany
  • Gives a broad and comprehensive treatment of synchronization and its control in complex time-delayed networks
  • Introduces, studies, and compares several adaptive control methods to stabilize cluster synchronization
  • Studies the control of synchronization in neural networks on several detailed examples
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eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-25115-8
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  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
valid through October 16, 2017
  • ISBN 978-3-319-25113-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

Judith Lehnert studied physics at Humboldt Universität zu Berlin, Technische Universität Berlin, Germany, and the University of Leeds, UK. Her studies were supported by a scholarship for academic excellence of the German National Academic Foundation. She received her Diploma in 2010 for which she was awarded the Physics Study Award of the Wilhelm and Else Heraeus Foundation and the Clara von Simson Award. In 2010 and 2012, she visited St. Petersburg State University, Russia, supported by the German-Russian Interdisciplinary Science Center. Judith Lehnert received the Dr. rer. nat. degree from Technische Universität Berlin in 2015. Her research interests include nonlinear dynamics, complex networks, adaptive control, zero-lag and cluster synchronization, delay differential equations and neural dynamics.

Table of contents (11 chapters)

  • Introduction

    Lehnert, Judith

    Pages 1-14

  • Complex Dynamical Networks

    Lehnert, Judith

    Pages 15-29

  • Synchronization in Complex Networks

    Lehnert, Judith

    Pages 33-41

  • Control of Synchronization Transitions by Balancing Excitatory and Inhibitory Coupling

    Lehnert, Judith

    Pages 43-60

  • Cluster and Group Synchrony: The Theory

    Lehnert, Judith

    Pages 61-94

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-25115-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
valid through October 16, 2017
  • ISBN 978-3-319-25113-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Controlling Synchronization Patterns in Complex Networks
Authors
Series Title
Springer Theses
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-25115-8
DOI
10.1007/978-3-319-25115-8
Hardcover ISBN
978-3-319-25113-4
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XV, 203
Topics