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Arnold Diffusion. I: Announcement of Results
被引：29
作者：
J. N. Mather
机构：
[1] Princeton University,Department of Mathematics
关键词：
Hamiltonian System;
Large Class;
Small Perturbation;
Autonomous System;
Integrable Hamiltonian System;
D O I：
10.1023/B:JOTH.0000047353.78307.09
中图分类号：
学科分类号：
摘要：
We announce a proof of the existence of Arnold diffusion for a large class of small perturbations of integrable Hamiltonian systems with positive normal torsion in the case of time-periodic systems in two degrees of freedom and in the case of autonomous systems in three degrees of freedom.
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页码：5275 / 5289
页数：14
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