Nonlinear Physical Science

Long-range Interactions, Stochasticity and Fractional Dynamics

Dedicated to George M. Zaslavsky (1935—2008)

Editors: Luo, Albert, Afraimovich, Valentin (Eds.)

  • A new theory for fractionality of nonlinear discrete mappings
  • Recent results and achievements on long-range interaction and non-equilibrium dynamics
  • Systematic presentation on self-similarity, stochasticity and fractional dynamics
  • Fundamental theory of brain dynamics and brain thinking mechanism
  • Newest developments for stochastic turbulence and soliton chains from simple to chaotic motions
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eBook $149.00
price for USA (gross)
  • ISBN 978-3-642-12343-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-642-12342-9
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About this book

In memory of Dr. George Zaslavsky, "Long-range Interactions, Stochasticity and Fractional Dynamics" covers the recent developments of long-range interaction, fractional dynamics, brain dynamics and stochastic theory of turbulence, each chapter was written by established scientists in the field. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. The book discusses self-similarity and stochasticity and fractionality for discrete and continuous dynamical systems, as well as long-range interactions and diluted networks. A comprehensive theory for brain dynamics is also presented. In addition, the complexity and stochasticity for soliton chains and turbulence are addressed. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.

Table of contents (7 chapters)

  • Fractional Zaslavsky and Hénon Discrete Maps

    Tarasov, Vasily E.

    Pages 1-26

  • Self-similarity, Stochasticity and Fractionality

    Uchaikin, Vladimir V.

    Pages 27-81

  • Long-range Interactions and Diluted Networks

    Ciani, Antonia (et al.)

    Pages 83-132

  • Metastability and Transients in Brain Dynamics: Problems and Rigorous Results

    Afraimovich, Valentin S. (et al.)

    Pages 133-175

  • Dynamics of Soliton Chains: From Simple to Complex and Chaotic Motions

    Gorshkov, Konstantin A. (et al.)

    Pages 177-218

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-642-12343-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-642-12342-9
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
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Bibliographic Information

Bibliographic Information
Book Title
Long-range Interactions, Stochasticity and Fractional Dynamics
Book Subtitle
Dedicated to George M. Zaslavsky (1935—2008)
Editors
  • Albert Luo
  • Valentin Afraimovich
Series Title
Nonlinear Physical Science
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Distribution Rights
Distribution rights in China: Higher Education Press
eBook ISBN
978-3-642-12343-6
DOI
10.1007/978-3-642-12343-6
Hardcover ISBN
978-3-642-12342-9
Series ISSN
1867-8440
Edition Number
1
Number of Pages
XVII, 311
Additional Information
Jointly published with Higher Education Press
Topics