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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
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
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

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