| 期刊全稱 | Bifurcations in Hamiltonian Systems | | 期刊簡(jiǎn)稱 | Computing Singularit | | 影響因子2023 | Henk Broer,Igor Hoveijn,Gert Vegter | | 視頻video | http://file.papertrans.cn/186/185555/185555.mp4 | | 發(fā)行地址 | Includes supplementary material: | | 學(xué)科分類 | Lecture Notes in Mathematics | | 圖書封面 |  | | 影響因子 | .The authors?consider applications of singularity theory and computer algebra to bifurcations of Hamiltonian dynamical systems. They restrict themselves to the case were the following simplification is possible. Near the equilibrium or (quasi-) periodic solution under consideration the linear part allows approximation by a normalized Hamiltonian system with a torus symmetry. It is assumed that reduction by this symmetry leads to a system with one degree of freedom. The volume focuses on two such reduction methods, the planar reduction (or polar coordinates) method and the reduction by the energy momentum mapping. The one-degree-of-freedom system then is?tackled by singularity theory, where computer algebra, in particular, Gr?bner basis techniques, are applied. The readership addressed consists of advanced graduate students and researchers in dynamical systems.. | | Pindex | Book 2003 |
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