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Analysis and Control of Complex Dynamical Systems

Robust Bifurcation, Dynamic Attractors, and Network Complexity

  • Kazuyuki Aihara
  • Jun-ichi Imura
  • Tetsushi Ueta

Part of the Mathematics for Industry book series (MFI, volume 7)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Robust Bifurcation and Control

    1. Front Matter
      Pages 1-1
    2. Masaki Inoue, Jun-ichi Imura, Kenji Kashima, Kazuyuki Aihara
      Pages 3-19
    3. Hiroyuki Kitajima, Tetsuya Yoshinaga, Jun-ichi Imura, Kazuyuki Aihara
      Pages 21-31
    4. Yasuaki Oishi, Mio Kobayashi, Tetsuya Yoshinaga
      Pages 33-40
    5. Ken’ichi Fujimoto, Tetsuya Yoshinaga, Tetsushi Ueta, Kazuyuki Aihara
      Pages 49-55
    6. Daisuke Ito, Tetsushi Ueta, Takuji Kousaka, Jun-ichi Imura, Kazuyuki Aihara
      Pages 57-73
  3. Dynamic Attractor and Control

    1. Front Matter
      Pages 75-75
    2. Jun Nishimura, Tomohisa Hayakawa
      Pages 77-90
    3. Natushiro Ichinose, Motomassa Komuro
      Pages 91-107
    4. Miki U. Kobayashi, Tetsushi Ueta, Kazuyuki Aihara
      Pages 109-120
    5. Kenji Kashima, Toshiyuki Ogawa
      Pages 141-160
    6. Shun-ichi Azuma, Tomomi Takegami, Yoshito Hirata
      Pages 161-169
  4. Complex Networks and Modeling for Control

    1. Front Matter
      Pages 171-171
    2. Takayuki Ishizaki, Kenji Kashima, Jun-ichi Imura, Kazuyuki Aihara
      Pages 173-189
    3. Masayasu Suzuki, Jun-ichi Imura, Kazuyuki Aihara
      Pages 191-208
  5. Back Matter
    Pages 209-211

About this book

Introduction

This book is the first to report on theoretical breakthroughs on control of complex dynamical systems developed by collaborative researchers in the two fields of dynamical systems theory and control theory. As well, its basic point of view is of three kinds of complexity: bifurcation phenomena subject to model uncertainty, complex behavior including periodic/quasi-periodic orbits as well as chaotic orbits, and network complexity emerging from dynamical interactions between subsystems. Analysis and Control of Complex Dynamical Systems offers a valuable resource for mathematicians, physicists, and biophysicists, as well as for researchers in nonlinear science and control engineering, allowing them to develop a better fundamental understanding of the analysis and control synthesis of such complex systems.

Keywords

Chaotic Orbits Complex Dynamics FIRST Program Network Complexity Quasi-periodic Solutions Robust Bifurcation

Editors and affiliations

  • Kazuyuki Aihara
    • 1
  • Jun-ichi Imura
    • 2
  • Tetsushi Ueta
    • 3
  1. 1.The University of TokyoTokyoJapan
  2. 2.Tokyo Institute of TechnologyTokyoJapan
  3. 3.Tokushima UniversityTokushimaJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-4-431-55013-6
  • Copyright Information Springer Japan 2015
  • Publisher Name Springer, Tokyo
  • eBook Packages Engineering
  • Print ISBN 978-4-431-55012-9
  • Online ISBN 978-4-431-55013-6
  • Series Print ISSN 2198-350X
  • Series Online ISSN 2198-3518
  • Buy this book on publisher's site