Titlebook: Hamiltonian Chaos Beyond the KAM Theory; Dedicated to George Albert C. J. Luo,Valentin Afraimovich Book 2010 Springer-Verlag Berlin Heidel

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https://doi.org/10.1007/978-3-642-12718-2Dynamical systems; George Zaslavsky; HEP; Hamiltonian chaos; KAM Theory; NPS; Nonlinear Hamiltonian system

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1867-8440 s intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico..978-3-642-12718-2Series ISSN 1867-8440 Series E-ISSN 1867-8459

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Book 2010s in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico..

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https://doi.org/10.1007/978-3-642-73602-5chastic map that specifies the center-of-mass motion. We find the relations between the detuning, recoil frequency and the atomic energy, under which atoms may move in a rigid optical lattice in a chaotic way. We obtain the analytical conditions under which deterministic atomic transport has fractal

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https://doi.org/10.1007/978-1-4612-3044-1 separatrix chaotic layer width as a function of the perturbation frequency. It has also allowed us to predict and describe new phenomena including, in particular: (i) a drastic facilitation of the onset of global chaos between neighbouring separatrices, and (ii) a huge increase in the size of the low-dimensional stochastic web.