Canonical perturbation theory via simultaneous approximation
Canonical perturbation theory via simultaneous approximation
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DOI：
10.1070/rm1992v047n06abeh000965
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发表时间：
1992
影响因子：
0.9
通讯作者：
P Lochak
中科院分区：
文献类型：
--
作者：
P Lochak
第一章绪论周期环面邻域的稳定性第三章。任意初始条件的稳定性。第四章。变换，应用，展望§1。附加变量和天体力学的应用§2。转置到其他上下文和退化情况§3。具有（无限）多自由度的系统。陡度、拟凸性和闭轨道第五章鲁棒环面；阿诺扩散§1。鲁棒环面和“标准化”§2。阿诺扩散一些丢番图近似附录2。Gevrey渐近展开式
CONTENTS Chapter I. Introduction Chapter II. Stability in the neighbourhood of a periodic torus Chapter III. Stability for arbitrary initial conditions Chapter IV. Transpositions, applications, prospects §1. Additional variables and an application to celestial mechanics §2. Transposition to other contexts and degenerate cases §3. Systems with (infinitely) many degrees of freedom §4. Steepness, quasi-convexity, and closed orbits Chapter V. Robust tori; Arnol'd diffusion §1. Robust tori and “normalization” §2. Arnol'd diffusion Appendix 1. Some Diophantine approximation Appendix 2. Gevrey asymptotic expansions References