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Symmetry and perturbation theory in nonlinear dynamics / Giampaolo Cicogna, Giuseppe Gaeta
- 作者： Cicogna, Giampaolo.
- 其他作者：
- 其他題名：
- Springer e-books
- 出版： Berlin ;New York : Springer c1999
- 叢書名： Lecture notes in physics. Monographs ,m57
- 主題： Differentiable dynamical systems. , Normal forms (Mathematics) , Symmetry (Physics) , Perturbation (Mathematics)
- ISBN： 9783540659044 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005167412 | 機讀編目格式
館藏資訊
This book deals with the theory of Poincaré--Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical system and vector fields describing its symmetry are presented and a perturbative approach is also used. Attention is given to the problem of convergence of the normalizing transformation in the presence of symmetry, with some other extensions of the theory. The results are discussed for the general case of dynamical systems and also for the specific Hamiltonian setting.
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