Control of Complex Nonlinear Systems with Delay

  • Philipp Hövel
Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Philipp Hövel
    Pages 1-9
  3. Philipp Hövel
    Pages 11-41
  4. Philipp Hövel
    Pages 43-103
  5. Philipp Hövel
    Pages 105-147
  6. Philipp Hövel
    Pages 175-243
  7. Philipp Hövel
    Pages 245-247
  8. Back Matter
    Pages 249-253

About this book

Introduction

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.

Keywords

Control in complex systems Feedback and stabilization Nonlinear dynamics Synchronisation in nonlinear systems Time delayed feedback

Authors and affiliations

  • Philipp Hövel
    • 1
  1. 1.Institut für Theoretische PhysikTechnische Universität BerlinBerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-14110-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-14109-6
  • Online ISBN 978-3-642-14110-2
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • About this book