Long-range interaction, stochasticity and fractional dynamics: dedicated to George M. Zaslavsky (1935-2008) Dedicated to George M. Zaslavsky (1935—2008)

In memory of Dr. George Zaslavsky, "Long-range Interaction, 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.

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!

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