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  • © 2017

Advances in Dynamics, Patterns, Cognition

Challenges in Complexity

  • 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
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xix
  2. Chaos and Dynamics

    1. Front Matter

      Pages 1-1
    2. Weak Transient Chaos

      • Valentin S. Afraimovich, Alexander B. Neiman
      Pages 3-12
    3. Time Rescaling of Lyapunov Exponents

      • Yakov Pesin, Agnieszka Zelerowicz, Yun Zhao
      Pages 29-40
    4. Unraveling the Chaos-Land and Its Organization in the Rabinovich System

      • Krishna Pusuluri, Arkady Pikovsky, Andrey Shilnikov
      Pages 41-60
    5. Anomalous Transport in Steady Plane Viscous Flows: Simple Models

      • Michael A. Zaks, Alexander Nepomnyashchy
      Pages 61-76
  3. Synchronization and Networks

    1. Front Matter

      Pages 77-77
    2. Regular and Chaotic Transition to Synchrony in a Star Configuration of Phase Oscillators

      • Vladimir N. Belykh, Maxim I. Bolotov, Grigory V. Osipov
      Pages 99-113
    3. Discovering, Constructing, and Analyzing Synchronous Clusters of Oscillators in a Complex Network Using Symmetries

      • Louis M. Pecora, Francesco Sorrentino, Aaron M. Hagerstrom, Thomas E. Murphy, Rajarshi Roy
      Pages 145-160
    4. When Repulsive Inhibition Promotes Synchrony of Bursting Neurons: Help from the Enemy

      • Reimbay Reimbayev, Kun Zhao, Igor Belykh
      Pages 161-185
  4. Brain

    1. Front Matter

      Pages 187-187
    2. The Variational Principles of Cognition

      • Karl Friston
      Pages 189-211
    3. Olfactory Computation in Insects

      • M. Komarov, M. Stopfer, M. Bazhenov
      Pages 213-225
    4. Respiratory Neural Network: Activity and Connectivity

      • Laurence Mangin, Maurice Courbage
      Pages 227-242
    5. Dynamics of Odor-Evoked Activity Patterns in the Olfactory System

      • Thomas Nowotny, Paul Szyszka
      Pages 243-261
    6. Dynamics of Intermittent Synchronization of Neural Activity

      • 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.

Editors and Affiliations

  • Pennsylvania State University, University Park, USA

    Igor S. Aranson

  • Institute for Physics and Astronomy, University of Potsdam, Potsdam, Germany

    Arkady Pikovsky

  • BioCircuits Institute, University of California San Diego, La Jolla, USA

    Nikolai F. Rulkov, Lev S. Tsimring

About the editors

Dr. Igor Aronson is Senior Scientist and Theory Group Leader, Materials Science Division, Argonne National Laboratory, Argonne, Illinois; Dr. Arkady Pikovsky is Professor of Theoretical Physics, University of Potsdam, Potsdam, Germany; Dr. Nikolai Rulkov is Research Scientist, BioCircuits Institute at the University of California, San Diego, La Jolla, CA; and Dr. Lev S. Tsimring is Associate Director, BioCircuits Institute University of California, San Diego, La Jolla, CA.

Bibliographic Information

  • Book Title: Advances in Dynamics, Patterns, Cognition

  • Book Subtitle: Challenges in Complexity

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

  • Series Title: Nonlinear Systems and Complexity

  • DOI: https://doi.org/10.1007/978-3-319-53673-6

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-53672-9Published: 07 June 2017

  • Softcover ISBN: 978-3-319-85213-3Published: 01 August 2018

  • eBook ISBN: 978-3-319-53673-6Published: 02 May 2017

  • Series ISSN: 2195-9994

  • Series E-ISSN: 2196-0003

  • Edition Number: 1

  • Number of Pages: XIX, 329

  • Number of Illustrations: 42 b/w illustrations, 81 illustrations in colour

  • Topics: Complexity, Pattern Recognition, Applications of Nonlinear Dynamics and Chaos Theory, Complex Systems

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
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