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Long-range Interactions, Stochasticity and Fractional Dynamics [electronic resource] : Dedicated to George M. Zaslavsky (1935–2008) / edited by Albert C. J. Luo, Valentin Afraimovich.

By: Luo, Albert C. J [editor.].
Contributor(s): Afraimovich, Valentin [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Nonlinear Physical Science: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010Description: XVII, 311 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642123436.Subject(s): Physics | Systems theory | Vibration | Physics | Nonlinear Dynamics | Systems Theory, Control | Vibration, Dynamical Systems, ControlDDC classification: 621 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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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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.

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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