On the conservation of hyperbolic invariant tori for Hamiltonian systems

On the conservation of hyperbolic invariant tori for Hamiltonian systems
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DOI:
10.1016/0022-0396(74)90086-2
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发表时间:
1974
影响因子:
2.4
通讯作者:
Samuel M. Graff
Samuel M. Graff
中科院分区:
数学2区
文献类型:
--
作者:
Samuel M. Graff

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关于,6和_(3)的结果是Kelly所做的工作的推广。此外,该问题的哈密顿性质表明,(3)和_(3)是拉格朗日流形,上述新定理适用于研究线性化微分方程的系数矩阵具有不同的纯虚特征值对的哈密顿系统的平衡。
The results concerning, 6 and _ (3) are an extension of work done by Kelly. In addition, the Hamiltonian character of the problem implies,(3) and _ (3) are Lagrangian manifolds, The previous neoren is applicable to the study of an equi11brium of a Hamiltonian system at which the coefficient matrix of the linearized d1fferential equations possesses distinct pairs of purely fmaginary eigenvalues,