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Long-range Interactions, Stochasticity and Fractional Dynamics


作者:
Albert C.J.Luo,V. Afraimovich
定价:
0.00 元
版面字数:
360千字
开本:
暂无
装帧形式:
暂无
版次:
暂无
最新版次
印刷时间:
1899年
ISBN:
978-7-04-029188-9
物料号:
29188-A0
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
  • 目录
    • 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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