Canonical perturbation theories : degenerate systems and resonance
著者
書誌事項
Canonical perturbation theories : degenerate systems and resonance
(Astrophysics and space science library, v. 345)
Springer Science + Business Media, c2007
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注記
Includes bibliographical references (p. [331]-335) and index
内容説明・目次
内容説明
The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems. In addition, they are followed by examples showing all steps of their application.
目次
The Hamilton-Jacobi Theory.- Angle-Action Variables. Separable Systems.- Classical Perturbation Theories.- Resonance.- Lie Mappings.- Lie Series Perturbation Theory.- Non-Singular Canonical Variables.- Lie Series Theory for Resonant Systems.- Single Resonance near a Singularity.- Nonlinear Oscillators.
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