Advances in Dynamics, Patterns, Cognition

Challenges in Complexity

  • Igor S. Aranson
  • Arkady Pikovsky
  • Nikolai F. Rulkov
  • Lev S. Tsimring

Part of the Nonlinear Systems and Complexity book series (NSCH, volume 20)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Chaos and Dynamics

    1. Front Matter
      Pages 1-1
    2. Valentin S. Afraimovich, Alexander B. Neiman
      Pages 3-12
    3. Yakov Pesin, Agnieszka Zelerowicz, Yun Zhao
      Pages 29-40
    4. Krishna Pusuluri, Arkady Pikovsky, Andrey Shilnikov
      Pages 41-60
    5. Michael A. Zaks, Alexander Nepomnyashchy
      Pages 61-76
  3. Synchronization and Networks

    1. Front Matter
      Pages 77-77
    2. Vladimir N. Belykh, Maxim I. Bolotov, Grigory V. Osipov
      Pages 99-113
    3. Louis M. Pecora, Francesco Sorrentino, Aaron M. Hagerstrom, Thomas E. Murphy, Rajarshi Roy
      Pages 145-160
    4. Reimbay Reimbayev, Kun Zhao, Igor Belykh
      Pages 161-185
  4. Brain

    1. Front Matter
      Pages 187-187
    2. Karl Friston
      Pages 189-211
    3. M. Komarov, M. Stopfer, M. Bazhenov
      Pages 213-225
    4. Laurence Mangin, Maurice Courbage
      Pages 227-242
    5. Thomas Nowotny, Paul Szyszka
      Pages 243-261
    6. Leonid L. Rubchinsky, Choongseok Park, Sungwoo Ahn
      Pages 263-275

About this book


This book focuses on recent progress in complexity research based on the fundamental nonlinear dynamical and statistical theory of oscillations, waves, chaos, and structures far from equilibrium. Celebrating seminal contributions to the field by Prof. M. I. Rabinovich of the University of California at San Diego, this volume brings together perspectives on both the fundamental aspects of complexity studies, as well as in applications in different fields ranging from granular patterns to understanding of the cognitive brain and mind dynamics. The slate of world-class authors review recent achievements that together present a broad and coherent coverage of modern research in complexity greater than the sum of its parts.
  • Presents the most up-to-date developments in the studies of complexity
  • Combines basic and applied aspects
  • Links background nonlinear theory of oscillations and waves with modern approaches
  • Allows readers to recognize general dynamical principles across the applications fields


complex structures Chaos nonlinear patterns nonlinear dynamics brain dynamics pattern formation oscillations collective dynamics self-organization

Editors and affiliations

  • Igor S. Aranson
    • 1
  • Arkady Pikovsky
    • 2
  • Nikolai F. Rulkov
    • 3
  • Lev S. Tsimring
    • 4
  1. 1.Pennsylvania State UniversityUniversity ParkUSA
  2. 2.Institute for Physics and AstronomyUniversity of PotsdamPotsdamGermany
  3. 3.BioCircuits InstituteUniversity of California San DiegoLa JollaUSA
  4. 4.BioCircuits InstituteUniversity of California San DiegoLa JollaUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-53672-9
  • Online ISBN 978-3-319-53673-6
  • Series Print ISSN 2195-9994
  • Series Online ISSN 2196-0003
  • About this book