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  • Book
  • © 2010

Long-range Interactions, Stochasticity and Fractional Dynamics

Dedicated to George M. Zaslavsky (1935—2008)

Editors:

  1. Albert C. J. Luo

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

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  2. Valentin Afraimovich

    1. IICO-UASLP, San Luis Potosi, Mexico

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    You can also search for this editor in PubMed   Google Scholar

  • 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

Part of the book series: Nonlinear Physical Science (NPS)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvii
    PDF

  2. Fractional Zaslavsky and Hénon Discrete Maps

    • Vasily E. Tarasov
    Pages 1-26

  3. Self-similarity, Stochasticity and Fractionality

    • Vladimir V. Uchaikin
    Pages 27-81

  4. Long-range Interactions and Diluted Networks

    • Antonia Ciani, Duccio Fanelli, Stefano Ruffo
    Pages 83-132

  5. Metastability and Transients in Brain Dynamics: Problems and Rigorous Results

    • Valentin S. Afraimovich, Mehmet K. Muezzinoglu, Mikhail I. Rabinovich
    Pages 133-175

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

    • Konstantin A. Gorshkov, Lev A. Ostrovsky, Yury A. Stepanyants
    Pages 177-218

  8. Entropy and Transport in Billiards

    • M. Courbage, S. M. Saberi Fathi
    Pages 277-309

  9. Back Matter

    Pages 311-311
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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.
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Keywords

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Editors and Affiliations

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

    Albert C. J. Luo

  • IICO-UASLP, San Luis Potosi, Mexico

    Valentin Afraimovich

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