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Titlebook: Construction of Mappings for Hamiltonian Systems and Their Applications; Sadrilla S. Abdullaev Book 2006 Springer-Verlag Berlin Heidelberg

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发表于 2025-3-21 17:08:18 | 显示全部楼层 |阅读模式
书目名称Construction of Mappings for Hamiltonian Systems and Their Applications
编辑Sadrilla S. Abdullaev
视频videohttp://file.papertrans.cn/237/236080/236080.mp4
概述Unique description of the mathematical physics of Hamiltonian systems and their application to plasma physics, chaos, dynamical systems, and electromagnetism
丛书名称Lecture Notes in Physics
图书封面Titlebook: Construction of Mappings for Hamiltonian Systems and Their Applications; Sadrilla S. Abdullaev Book 2006 Springer-Verlag Berlin Heidelberg
描述.Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the study of the dynamics and chaos of various physical problems described by Hamiltonian systems. It develops a new, mathematically-rigorous method to construct symplectic mappings which replaces the dynamics of continuous Hamiltonian systems by the discrete ones. Applications of the mapping methods encompass the chaos theory in non-twist and non-smooth dynamical systems, the structure and chaotic transport in the stochastic layer, the magnetic field lines in magnetically confinement devices of plasmas, ray dynamics in waveguides, etc. The book is intended for postgraduate students and researches, physicists and astronomers working in the areas of plasma physics, hydrodynamics, celestial mechanics, dynamical astronomy, and accelerator physics. It should also be useful for applied mathematicians involved in analytical and numerical studies of dynamical systems..
出版日期Book 2006
关键词Chaotic behaviour; Hamiltonian systems; Magnetic field lines; Plasma; Symplectic maps; chaos theory; dynam
版次1
doihttps://doi.org/10.1007/b11554707
isbn_softcover978-3-642-06812-6
isbn_ebook978-3-540-33417-0Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 2006
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发表于 2025-3-21 20:15:33 | 显示全部楼层
Lecture Notes in Physicshttp://image.papertrans.cn/c/image/236080.jpg
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https://doi.org/10.1007/978-3-531-92140-2clude a motion in a double–well potential, dynamics of the periodicallydriven oscillator. We consider also the dynamics of particles near the separatrix of long–range potential field. These problems are a motion of particle in a periodically–driven Morse potential and the Kepler problem.
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发表于 2025-3-22 11:31:18 | 显示全部楼层
Ungleiche Netzwerke - Vernetzte Ungleichheitant role. These areas are related to the problems of ray propagation in waveguide media, particle acceleration and planetary motion. In a good approximation these problems are described by Hamiltonian systems, and therefore they can be studied by Hamiltonian mappings.
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发表于 2025-3-22 13:35:07 | 显示全部楼层
Mappings Near Separatrix. Examples,clude a motion in a double–well potential, dynamics of the periodicallydriven oscillator. We consider also the dynamics of particles near the separatrix of long–range potential field. These problems are a motion of particle in a periodically–driven Morse potential and the Kepler problem.
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发表于 2025-3-22 17:11:44 | 显示全部楼层
Miscellaneous,ant role. These areas are related to the problems of ray propagation in waveguide media, particle acceleration and planetary motion. In a good approximation these problems are described by Hamiltonian systems, and therefore they can be studied by Hamiltonian mappings.
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978-3-642-06812-6Springer-Verlag Berlin Heidelberg 2006
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