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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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发表于 2025-3-21 16:53:34 | 显示全部楼层 |阅读模式
书目名称Hamiltonian Chaos Beyond the KAM Theory
副标题Dedicated to George
编辑Albert C. J. Luo,Valentin Afraimovich
视频videohttp://file.papertrans.cn/421/420627/420627.mp4
概述Explains a theory on resonant mechanism of Hamiltonian chaos in stochastic layers and webs.Develops newest methods and ideas on Hamiltonian chaos in nonlinear Hamiltonian systems.Direct applies Hamilt
丛书名称Nonlinear Physical Science
图书封面Titlebook: Hamiltonian Chaos Beyond the KAM Theory; Dedicated to George Albert C. J. Luo,Valentin Afraimovich Book 2010 Springer-Verlag Berlin Heidel
描述.“Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935—2008)” covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. The development presented in this book goes beyond the KAM theory, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. The book is 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..
出版日期Book 2010
关键词Dynamical systems; George Zaslavsky; HEP; Hamiltonian chaos; KAM Theory; NPS; Nonlinear Hamiltonian system
版次1
doihttps://doi.org/10.1007/978-3-642-12718-2
isbn_ebook978-3-642-12718-2Series ISSN 1867-8440 Series E-ISSN 1867-8459
issn_series 1867-8440
copyrightSpringer-Verlag Berlin Heidelberg 2010
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A New Approach to the Treatment of Separatrix Chaos and Its Applications,haos is most developed when the perturbation frequency lies in the logarithmically small or moderate ranges: this corresponds to the involvement of resonance dynamics into the separatrix chaos. We develop a method matching the discrete chaotic dynamics of the separatrix map and the continuous regula
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https://doi.org/10.1007/978-1-4612-3044-1haos is most developed when the perturbation frequency lies in the logarithmically small or moderate ranges: this corresponds to the involvement of resonance dynamics into the separatrix chaos. We develop a method matching the discrete chaotic dynamics of the separatrix map and the continuous regula
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https://doi.org/10.1007/978-1-4684-8810-4he great variety of the dynamics of three point vortices near the singularity giving rise to vortex collapse. We discuss the strong influence of the existence of a finite time singularity on the dynamics, especially on how the period of the motion evolves as we get closer to the singular conditions.
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https://doi.org/10.1007/978-3-642-73602-5f the translational atomic motion provides the semiclassical Hamilton-Schrödinger equations of motion which are a 5-dimensional nonlinear dynamical system with two integrals of motion. The atomic dynamics can be regular or chaotic (in the sense of exponential sensitivity to small variations in initi
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