图书信息
图书目录
Long-range Interactions, Stochasticity and Fractional Dynamics
暂无简介
作者：
Albert C.J.Luo，V. Afraimovich
定价：
.00元
出版时间：
2010-06-01
ISBN：
978-7-04-029188-9
物料号：
29188-A0
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
动力系统
重点项目：
暂无
版面字数：
360.000千字
开本：
暂无
全书页数：
332页
装帧形式：
暂无
- 前言
- 1 Fractional Zaslavsky and H´enon Discrete Maps Vasily ETarasov
- 1.1 Introduction
- 1.2 Fractional derivatives
- 1.3 Fractional Zaslavsky maps
- 1.4 Fractional H´enon map
- 1.5 Fractional derivative in the kicked term and Zaslavsky map
- 1.6 Fractional derivative in the kicked damped term and generalizations of Zaslavsky and H´enon maps
- 1.7 Conclusion
- References
- 2 Self-similarity, Stochasticity and Fractionality Vladimir VUchaikin
- 2.1 Introduction
- 2.2 From Brownian motion to L`evy motion
- 2.3 Fractional Brownian motion
- 2.4 Fractional Poisson motion
- 2.5 Fractional compound Poisson process
- Acknowledgments
- AppendixFractional operators
- References
- 3 Long-range Interactions and Diluted Networks Antonia Ciani, Duccio Fanelli and Stefano Ruffo
- 3.1 Long-range interactions
- 3.2 Hamiltonian Mean Field model: equilibrium and out-ofequilibrium features
- 3.3 Introducing dilution in the Hamiltonian Mean Field model 0
- 3.4 Conclusions
- Acknowledgments
- References
- 4 Metastability and Transients in Brain Dynamics: Problems and Rigorous Results Valentin SAfraimovich, Mehmet KMuezzinoglu and Mikhail Irabinovich
- 4.1 Introduction: what we discuss and why now
- 4.2 Mental modes
- 4.3 Competition—robustness and sensitivity
- 4.4 Basic ecological model
- 4.5 Conclusion
- Acknowledgments
- Appendix 1
- Appendix 2
- References
- 5 Dynamics of Soliton Chains: From Simple to Complex and Chaotic Motions Konstantin AGorshkov, Lev AOstrovsky and Yury Astepanyants
- 5.1 Introduction
- 5.2 Stable soliton lattices and a hierarchy of envelope solitons
- 5.3 Chains of solitons within the framework of the Gardner model
- 5.4 Unstable soliton lattices and stochastisation
- 5.5 Soliton stochastisation and strong wave turbulence in a resonator with external sinusoidal pumping
- 5.6 Chains of two-dimensional solitons in positive-dispersion media
- 5.7 Conclusion
- Few words in memory of George MZaslavsky
- References
- 6 What is Control of Turbulence in Crossed Fields?–Don’t Even Think of Eliminating All Vortexes! Dimitri Volchenkov
- 6.1 Introduction
- 6.2 Stochastic theory of turbulence in crossed fields: vortexes of all sizes die out, but one
- 6.3 In search of lost stability
- 6.4 Conclusion
- References
- 7 Entropy and Transport in Billiards MCourbage and S.MSaberi Fathi
- 7.1 Introduction
- 7.2 Entropy
- 7.3 Transport
- 7.4 Concluding remarks
- References
- Index
- 版权
