CLOSE APPROXIMATIONS TO INVARIANT TORI IN NONLINEAR MECHANICS

被引：23
|
作者：
WARNOCK, RL
机构：
[1] Stanford Linear Accelerator Center, Stanford University, Stanford
来源：
PHYSICAL REVIEW LETTERS | 1991年 / 66卷 / 14期
关键词：
15;
D O I：
10.1103/PhysRevLett.66.1803
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A general method to compute precise approximations to invariant tori of Hamiltonian systems is presented. For illustration, a strongly nonlinear example from accelerator theory is treated, in 2 1/2 degrees of freedom. Accuracy, computation time, and effectiveness near resonances are found to be highly favorable in comparison to previous methods.
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页码：1803 / 1806
页数：4
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