© 2010

Long-range Interactions, Stochasticity and Fractional Dynamics

Dedicated to George M. Zaslavsky (1935–2008)

  • Albert C. J. Luo
  • Valentin Afraimovich

Part of the Nonlinear Physical Science book series (NPS)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Vasily E. Tarasov
    Pages 1-26
  3. Vladimir V. Uchaikin
    Pages 27-81
  4. Antonia Ciani, Duccio Fanelli, Stefano Ruffo
    Pages 83-132
  5. Valentin S. Afraimovich, Mehmet K. Muezzinoglu, Mikhail I. Rabinovich
    Pages 133-175
  6. Konstantin A. Gorshkov, Lev A. Ostrovsky, Yury A. Stepanyants
    Pages 177-218
  7. M. Courbage, S. M. Saberi Fathi
    Pages 277-309
  8. Back Matter
    Pages 311-311

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.


Brain dynamics Dynamics of soliton chains Fractional dynamics George Zaslavsky HEP Long range interaction NPS Stochasticity Turbulence Control chaos dynamical systems entropy nonlinear dynamics stability

Editors and affiliations

  • Albert C. J. Luo
    • 1
  • Valentin Afraimovich
    • 2
  1. 1.Department of Mechanical and Industrial EngineeringSouthern Illinois University EdwardsvilleEdwardsvilleUSA
  2. 2.IICO-UASLPSan Luis PotosiMexico

Bibliographic information