多极场中轨道动力学的多分辨表示
Multiresolution Representation for Orbital Dynamics in Multipolar Fields
摘要：
我们提出的应用变分-小波分析多项式/有理近似的情况下，我们考虑到多极扩展到任意有限的数量和额外的踢项的情况下，在一个圆形磁晶格中的单个粒子的横向平面中的轨道运动。我们把初始动力学问题归结为有限个标准代数问题（等于n极点的个数）。我们的解决方案作为一个多分辨率（多尺度）展开的基础上紧支撑小波基。
英文摘要：
We present the applications of variation -- wavelet analysis to polynomial/rational approximations for orbital motion in transverse plane for a single particle in a circular magnetic lattice in case when we take into account multipolar expansion up to an arbitrary finite number and additional kick terms. We reduce initial dynamical problem to the finite number (equal to the number of n-poles) of standard algebraical problems. We have the solution as a multiresolution (multiscales) expansion in the base of compactly supported wavelet basis.
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