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Nonlinear Dynamics and Complexity

  • Book
  • © 2014

Overview

Editors:
  1. Valentin Afraimovich

    1. San Luis Potosi University, San Luis Potosi, Mexico

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  2. Albert C. J. Luo

    1. School of Engineering Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Xilin Fu

    1. Shandong Normal University, Ji’nan, People's Republic of China

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 8)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-viii
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  2. From Long-Range Order to Complex Networks, an Hamiltonian Dynamics Perspective

    • Sarah de Nigris, Xavier Leoncini
    Pages 1-39

  3. Lyapunov Exponent Sign Reversal: Stability and Instability by the First Approximation

    • G. A. Leonov, N. V. Kuznetsov
    Pages 41-77

  4. Fractional Maps as Maps with Power-Law Memory

    • Mark Edelman
    Pages 79-120

  5. Period-1 Motions in a Quadratic Nonlinear Oscillator

    • Albert C. J. Luo, Bo Yu
    Pages 121-142

  6. Map-Based Approach to Problems of Spiking Neural Network Dynamics

    • Oleg V. Maslennikov, Vladimir I. Nekorkin
    Pages 143-161

  7. Adaptive Landscape with Singularity in Evolutionary Processes

    • Shuyun Jiao, Song Xu, Ping Ao
    Pages 163-189

  8. Scaffolding of Complex Systems Data

    • Philippe Blanchard, Dimitri Volchenkov
    Pages 191-212

  9. Treasure Hunting in Virtual Environments: Scaling Laws of Human Motions and Mathematical Models of Human Actions in Uncertainty

    • Dimitri Volchenkov, Jonathan Helbach, Marko Tscherepanow, Sina Kühnel
    Pages 213-234

  10. Vibrational Resonance in Time-Delayed Nonlinear Systems

    • S. Rajasekar, M. A. F. Sanjuán
    Pages 235-260

  11. Experimental Studies of Noise Effects in Nonlinear Oscillators

    • Vadim S. Anishchenko, Tatjana E. Vadivasova, Alexey V. Feoktistov, Vladimir V. Semenov, Galina I. Strelkova
    Pages 261-290

  12. Back Matter

    Pages 291-292
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Keywords

About this book

This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.

Editors and Affiliations

  • San Luis Potosi University, San Luis Potosi, Mexico

    Valentin Afraimovich

  • School of Engineering Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, USA

    Albert C. J. Luo

  • Shandong Normal University, Ji’nan, People's Republic of China

    Xilin Fu

About the editors

Valentin Afraimovich is a Professor at San Luis Potosi University. Albert C. J. Luo is a Professor at Southern Illinois University, Edwardsville. Xilin Fu is a Professor at Shandong Normal University.

Bibliographic Information

  • Book Title: Nonlinear Dynamics and Complexity

  • Editors: Valentin Afraimovich, Albert C. J. Luo, Xilin Fu

  • Series Title: Nonlinear Systems and Complexity

  • DOI: https://doi.org/10.1007/978-3-319-02353-3

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-02352-6Published: 10 December 2013

  • Softcover ISBN: 978-3-319-34933-6Published: 27 August 2016

  • eBook ISBN: 978-3-319-02353-3Published: 22 November 2013

  • Series ISSN: 2195-9994

  • Series E-ISSN: 2196-0003

  • Edition Number: 1

  • Number of Pages: VIII, 292

  • Number of Illustrations: 75 b/w illustrations, 42 illustrations in colour

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

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