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出版时间:2010-08-01

出版社:高等教育出版社

以下为《分数维动力学(英文版)》的配套数字资源,这些资源在您购买图书后将免费附送给您:
  • 高等教育出版社
  • 9787040294736
  • 1版
  • 227518
  • 46254055-0
  • 精装
  • 16开
  • 2010-08-01
  • 780
  • 504
  • 理学
  • 数学
  • O313
  • 物理
  • 研究生及以上
内容简介

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.

目录
Part I Fractionfil Continuous Models of Fractal Distributions  1 Fractional Integration and Fractals  2 Hydrodynamics of Fractal Media 3 Fractal Rigid Body Dynamics 4 Electrodynamics of Fractal Distributions of Charges and Fields 5 Ginzburg-Landau Equation for Fractal Media 6 Fokker-Planck Equation for Fractal Distributions of Probability 7 Statistical Mechanics of Fractal Phase Space rt II Fractional Dynamics and Long-Range Interactions 8 Fractional Dynamics of Media with Long-Range Interaction. 9 Fractional Ginzburg-Landau Equation 10 Psi-Series Approach to Fractional EquationsPart III Fractional Spatial Dynamics 11 Fractional Vector Calculus ……Part IV Fractional Temporal DynamicsPart V Fractional Quantum DynamicsIndex