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Control of Complex Nonlinear Systems with Delay

  • Book
  • © 2010

Overview

Authors:
  1. Philipp Hövel

    1. Institut für Theoretische Physik, Technische Universität Berlin, Berlin, Germany

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  • Contains fundamental new results on the controllability of nonlinear dynamics by time-delayed feedback
  • Demonstrates potentially important applications in physics and medicine
  • Nominated as an outstanding contribution by the Technical University of Berlin
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Introduction

    • Philipp Hövel
    Pages 1-9

  3. Time-Delayed Feedback Control

    • Philipp Hövel
    Pages 11-41

  4. Control of Steady States

    • Philipp Hövel
    Pages 43-103

  5. Refuting the Odd Number Limitation Theorem

    • Philipp Hövel
    Pages 105-147

  6. Control of Neutral Delay-Differential Equations

    • Philipp Hövel
    Pages 149-174

  7. Neural Systems

    • Philipp Hövel
    Pages 175-243

  8. Summary and Outlook

    • Philipp Hövel
    Pages 245-247

  9. Back Matter

    Pages 249-253
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Keywords

About this book

This research addresses delay effects in nonlinear systems, which are ubiquitous in various fields of physics, chemistry, biology, engineering, and even in social and economic systems. They may arise as a result of processing times or due to the finite propagation speed of information between the constituents of a complex system. Time delay has two complementary, counterintuitive and almost contradictory facets. On the one hand, delay is able to induce instabilities, bifurcations of periodic and more complicated orbits, multi-stability and chaotic motion. On the other hand, it can suppress instabilities, stabilize unstable stationary or periodic states and may control complex chaotic dynamics. This thesis deals with both aspects, and presents novel fundamental results on the controllability of nonlinear dynamics by time-delayed feedback, as well as applications to lasers, hybrid-mechanical systems, and coupled neural systems.    

Authors and Affiliations

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

    Philipp Hövel

Bibliographic Information

  • Book Title: Control of Complex Nonlinear Systems with Delay

  • Authors: Philipp Hövel

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-642-14110-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer-Verlag GmbH Berlin Heidelberg 2010

  • Hardcover ISBN: 978-3-642-14109-6Published: 30 September 2010

  • Softcover ISBN: 978-3-662-50655-4Published: 23 August 2016

  • eBook ISBN: 978-3-642-14110-2Published: 27 September 2010

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XVI, 253

  • Topics: Complex Systems, Statistical Physics and Dynamical Systems

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