ISBN:978-7-04-029473-6
出版时间:2010-08-20
语种:英文
开本:16
页数:505
Fractional Dynamics: Applications of Fra
作 者:Vasily E. Tarasov
定价:  89.00元 购买
  • 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.

关键词 物理类
目录
内封   
PDF (3 MB) (
版权   
PDF (14 MB) (
目录   
PDF (22 KB) (
Front Matter   
PDF (15 KB) ( ) P. 6-8
Part I Fractional Continuous Models of Fractal Distributions
1 Fractional Integration and Fractals   
摘要   PDF (715 KB) ( ) P. 16-62
2 Hydrodynamics of Fractal Media   
摘要   PDF (283 KB) ( ) P. 63-85
3 Fractal Rigid Body Dynamics   
摘要   PDF (169 KB) ( ) P. 86-100
4 Electrodynamics of Fractal Distributions of Charges and Fields   
摘要   PDF (323 KB) ( ) P. 101-125
5 Ginzburg-Landau Equation for Fractal Media   
摘要   PDF (123 KB) ( ) P. 126-133
6 Fokker-Planck Equation for Fractal Distributions of Probability   
摘要   PDF (136 KB) ( ) P. 134-144
7 Statistical Mechanics of Fractal Phase Space Distributions   
摘要   PDF (209 KB) ( ) P. 145-160
Part II Fractional Dynamics and Long-Range Interactions
8 Fractional Dynamics of Media with Long-Range Interaction   
摘要   PDF (19 MB) ( ) P. 161-223
9 Fractional Ginzburg-Landau Equation   
摘要   PDF (114 KB) ( ) P. 224-234
10 Psi-Series Approach to Fractional Equations   
摘要   PDF (163 KB) ( ) P. 235-245
Part III Fractional Spatial Dynamics
11 Fractional Vector Calculus   
摘要   PDF (335 KB) ( ) P. 246-270
12 Fractional Exterior Calculus and Fractional Differential Forms   
摘要   PDF (377 KB) ( ) P. 271-297
13 Fractional Dynamical Systems   
摘要   PDF (277 KB) ( ) P. 298-318
14 Fractional Calculus of Variations in Dynamics   
摘要   PDF (237 KB) ( ) P. 319-337
15 Fractional Statistical Mechanics   
摘要   PDF (257 KB) ( ) P. 338-356
Part IV Fractional Temporal Dynamics
16 Fractional Temporal Electrodynamics   
摘要   PDF (270 KB) ( ) P. 357-377
17 Fractional Nonholonomic Dynamics   
摘要   PDF (440 KB) ( ) P. 378-409
18 Fractional Dynamics and Discrete Maps with Memory   
摘要   PDF (730 KB) ( ) P. 410-454
Part V Fractional Quantum Dynamics
19 Fractional Dynamics of Hamiltonian Quantum Systems   
摘要   PDF (146 KB) ( ) P. 455-465
20 Fractional Dynamics of Open Quantum Systems   
摘要   PDF (365 KB) ( ) P. 466-489
21 Quantum Analogs of Fractional Derivatives   
摘要   PDF (191 KB) ( ) P. 490-501
Index   
PDF (10 KB) ( ) P. 502-503
Nonlinear Physical Science   
PDF (392 KB) ( ) P. 504-504
非线性物理科学系列NPS
Mathematical Theory of Dispersion-Manage
Long-range Interactions, Stochasticity
Self-organization and Pattern-formation
Nonlinear Deformable-body Dynamics 非线性物
Hamiltonian Chaos Beyond the KAM Theory
Complex Systems:Fractionality, Time-delay and Synchronization
Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation
线性与非线性积分方程:方法及应用
物理及工程中的分数维微积分: 第I卷 数学基础及其理论(英文版) (Fracti
同伦分析方法与非线性微分方程(英文版)
Continuous Dynamical Systems (英文版) (连续动
李群分析在地球物理流体动力学中的应用
动态域上的不连续动力系统
物理及工程中的分数维微积分: 第II卷 应用 (英文版) (Fraction
不连续动力系统
变换群和李代数(英文版) (Transformation Groups and
微分方程群性质理论讲义 (Lectures on the Theory of G
时滞动力系统的分析与控制 (英文版) (Advances in Analysis
Keller-Box 方法及其应用(英文版)
Waves and structures in nonlinear nondis
离散和切换动力系统 (英文版) Discrete and Switching D
流动非线性及其同伦分析: 流体力学和传热(英文版)(Nonlinear Flow
Approximate and Renormgroup Symmetries
Hyperbolic Chaos: A Physicist`s View双曲混
Discontinuous Dynamical Systems on Time-
准混沌冲击振子:重正化,符号动力学及运动迁移现象(英文版) Pseudochao
非线性变形体动力学
混沌信号处理 (Chaotic Signal Processing)(英文版)