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  • © 2016

Control of Self-Organizing Nonlinear Systems

  • Is written by internationally leading experts in this new emerging field
  • Gives a cutting-edge review of novel innovative application areas: quantum systems, soft matter systems, complex networks
  • Explains control in networks and solid state sciences
  • Includes supplementary material: sn.pub/extras

Part of the book series: Understanding Complex Systems (UCS)

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-xvii
  2. Theoretical Methods

    1. Front Matter

      Pages 1-1
    2. Controlling Chimera Patterns in Networks: Interplay of Structure, Noise, and Delay

      • Anna Zakharova, Sarah A. M. Loos, Julien Siebert, Aleksandar Gjurchinovski, Jens Christian Claussen, Eckehard Schöll
      Pages 3-23
    3. Adaptively Controlled Synchronization of Delay-Coupled Networks

      • Philipp Hövel, Judith Lehnert, Anton Selivanov, Alexander Fradkov, Eckehard Schöll
      Pages 47-63
    4. Global Effects of Time-Delayed Feedback Control Applied to the Lorenz System

      • Anup S. Purewal, Bernd Krauskopf, Claire M. Postlethwaite
      Pages 81-103
    5. Symmetry-Breaking Control of Rotating Waves

      • Isabelle Schneider, Bernold Fiedler
      Pages 105-126
    6. On the Interplay of Noise and Delay in Coupled Oscillators

      • Otti D’Huys, Thomas Jüngling, Wolfgang Kinzel
      Pages 127-145
    7. Noisy Dynamical Systems with Time Delay: Some Basic Analytical Perturbation Schemes with Applications

      • Wolfram Just, Paul M. Geffert, Anna Zakharova, Eckehard Schöll
      Pages 147-168
    8. Study on Critical Conditions and Transient Behavior in Noise-Induced Bifurcations

      • Zigang Li, Kongming Guo, Jun Jiang, Ling Hong
      Pages 169-187
    9. Analytical, Optimal, and Sparse Optimal Control of Traveling Wave Solutions to Reaction-Diffusion Systems

      • Christopher Ryll, Jakob Löber, Steffen Martens, Harald Engel, Fredi Tröltzsch
      Pages 189-210
    10. Recent Advances in Reaction-Diffusion Equations with Non-ideal Relays

      • Mark Curran, Pavel Gurevich, Sergey Tikhomirov
      Pages 211-234
    11. Moment Closure—A Brief Review

      • Christian Kuehn
      Pages 253-271
  3. Concepts of Applications

    1. Front Matter

      Pages 273-273
    2. Feedback Control in Quantum Transport

      • Clive Emary
      Pages 275-287
    3. Controlling the Stability of Steady States in Continuous Variable Quantum Systems

      • Philipp Strasberg, Gernot Schaller, Tobias Brandes
      Pages 289-313
    4. Chimera States in Quantum Mechanics

      • Victor Manuel Bastidas, Iryna Omelchenko, Anna Zakharova, Eckehard Schöll, Tobias Brandes
      Pages 315-336
    5. Multirhythmicity for a Time-Delayed FitzHugh-Nagumo System with Threshold Nonlinearity

      • Lionel Weicker, Lars Keuninckx, Gaetan Friart, Jan Danckaert, Thomas Erneux
      Pages 337-354

About this book

The book summarizes the state-of-the-art of research on control of self-organizing nonlinear systems with contributions from leading international experts in the field. The first focus concerns recent methodological developments including control of networks and of noisy and time-delayed systems. As a second focus, the book features emerging concepts of application including control of quantum systems, soft condensed matter, and biological systems. Special topics reflecting the active research in the field are the analysis and control of chimera states in classical networks and in quantum systems, the mathematical treatment of multiscale systems, the control of colloidal and quantum transport, the control of epidemics and of neural network dynamics.


Editors and Affiliations

  • Inst für Theoretische Physik, Technische Universität Berlin, Berlin, Germany

    Eckehard Schöll

  • Institut für Theoretische Physik, Technische Universität Berlin, Berlin, Germany

    Sabine H. L. Klapp, Philipp Hövel

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access