Research Catalog

Title

Long-range interactions, stochasticity and fractional dynamics / [editors], Albert C.J. Luo, Valentin Afraĭmovich.

Publication

Beijing : Higher Education Press ; Heidelberg ; New York : Springer, c2010.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Afraĭmovich, V. S. (Valentin Senderovich)
• Luo, Albert C. J.

Description

xvii, 309 p. : ill.; 25 cm.

Summary

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.

Series Statement

Nonlinear physical science, 1867-8440

Uniform Title

Nonlinear physical science.

Subject

• Differentiable dynamical systems
• Fractional calculus
• Nonlinear theories
• Physics
• Stochastic processes
• Systems theory
• Vibration
• Zaslavsky, George M

Note

• "Dedicated to George M. Zaslavsky (1935-2008)."

Bibliography (note)

• Includes bibliographical references.

Processing Action (note)

• committed to retain

Contents

Fractional Zaslavsky and Hénon discrete maps / Vasily E. Tarasov -- Self-similarity, stochasticity and fractionality / Vladimir V. Uchaikin -- Long-range interactions and diluted networks / Antonia Ciani, Duccio Fanelli, Stefano Ruffo -- Metastability and transients in brain dynamics: problems and rigorous results / Velentin S. Afraimovich, Mehmet K. Muezzinoglu and Mikhail I. Rabinovich -- Dynamics of soliton chains: from simple to complex and chaotic motions / Konstantin A. Gorshkov, Lev A. Ostrovsky, Yury A. Stepanyants -- What is control of turbulence in crossed fields?-- don't even think of eliminating all vortexes! / Dimitri Volchenkov -- Entropy and transport in billiards / M. Courbage, S.M.Saberi Fathi.

ISBN

• 9787040291889 (Higher Education Press)
• 7040291886 (Higher Education Press)
• 9783642123429 (Springer)
• 3642123422 (Springer)

LCCN

^^2010924294

OCLC

620364706

Owning Institutions

Harvard Library