2 A New Approach to the Treatment of Separatrix Chaos and Its ApplicationsS.M. Soskin, R. Mannella, O.M. Yevtushenko, I.A. Khovanov,P.V.E. McClintock

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Hamiltonian Chaos Beyond the KAM Theory 作者：罗朝俊阿弗莱诺维奇　　 ISBN：978-7-04-029187-2　出版时间：2010-06-07

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front matter

1 Stochastic and Resonant Layers in Nonlinear Hamiltonian SystemsAlbert C.J. Luo

2 A New Approach to the Treatment of Separatrix Chaos and Its ApplicationsS.M. Soskin, R. Mannella, O.M. Yevtushenko, I.A. Khovanov,P.V.E. McClintock

3 Hamiltonian Chaos and Anomalous Transport in Two Dimensional FlowsXavier Leoncini

4 Hamiltonian Chaos with a Cold Atom in an Optical LatticeS.V. Prants

5 Using StochasticWebs to Control the Quantum Transport of Electrons in Semiconductor SuperlatticesT.M. Fromhold, A.A. Krokhin, S. Bujkiewicz, P.B. Wilkinson,D. Fowler, A. Patan`e, L. Eaves, D.P.A. Hardwick, A.G. Balanov,M.T. Greenaway, A. Henning

6 Chaos in Ocean AcousticWaveguide A.L. Virovlyansky

彩图
- 2.1 Introduction
- 2.1.1 Heuristic results
- 2.1.2 Mathematical and accurate physical results
- 2.1.3 Numerical evidence for high peaks in D E(wf ) andtheir rough estimations
- 2.1.4 Accurate description of the peaks and of therelated phenomena
- 2.2 Basic ideas of the approach
- 2.3 Single-separatrix chaotic layer
- 2.3.1 Rough estimates. Classification of systems
- 2.3.2 Asymptotic theory for systems of type I
- 2.3.3 Asymptotic theory for systems of type II
- 2.3.4 Estimate of the next-order corrections
- 2.3.5 Discussion
- 2.4 Double-separatrix chaos
- 2.4.1 Asymptotic theory for the minima of the spikes
- 2.4.2 Theory of the spikes’ wings
- 2.4.3 Generalizations and applications
- 2.5 Enlargement of a low-dimensional stochastic web
- 2.5.1 Slow modulation of the wave angle
- 2.5.2 Application to semiconductor superlattices
- 2.5.3 Discussion
- 2.6 Conclusions
- 2.7 Appendix
- 2.7.1 Lower chaotic layer
- 2.7.2 Upper chaotic layer
- References

2 A New Approach to the Treatment of Separatrix Chaos and Its ApplicationsS.M. Soskin, R. Mannella, O.M. Yevtushenko, I.A. Khovanov,P.V.E. McClintock

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