Long-range Interactions, Stochasticity and Fractional Dynamics
Dedicated to George M. Zaslavsky (1935?2008)
Series: Nonlinear Physical Science;
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Product details:
- Edition number 2011
- Publisher Springer Verlag
- Date of Publication 4 January 2011
- Number of Volumes 1 pieces, Book
- ISBN 9783642123429
- Binding Hardback
- No. of pages311 pages
- Size 235x155 mm
- Language English
- Illustrations 100 Illustrations, black & white; 10 Illustrations, color 0
Categories
Short description:
Dedicated to the late Dr. George Zaslavsky, one of the three originators of the theory of Hamiltonian chaos, this volume surveys recent developments in long-range interaction, fractional dynamics, brain dynamics and stochastic turbulence theory.
MoreLong description:
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.
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:
Fractional Zaslavsky and Hénon Discrete Maps.- Self-similarity, Stochasticity and Fractionality.- Long-range Interactions and Diluted Networks.- Metastability and Transients in Brain Dynamics: Problems and Rigorous Results.- Dynamics of Soliton Chains: From Simple to Complex and Chaotic Motions.- What is Control of Turbulence in Crossed Fields? ? Don't Even Think of Eliminating All Vortexes!.- Entropy and Transport in Billiards.
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