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Long-range Interactions, Stochasticity and Fractional Dynamics
收藏
Long-range Interactions, Stochasticity and Fractional Dynamics
作者:
Albert C.J.Luo,V. Afraimovich
定价:
0.00元
ISBN:
978-7-04-029188-9
版面字数:
360.000千字
开本:
暂无
全书页数:
332页
装帧形式:
暂无
重点项目:
暂无
出版时间:
2010-06-01
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
购买:
图书详情
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图书目录
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
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