Existence of periodic solutions for a class of second order discrete Hamiltonian systems

Wen Guan; Kuo Yang

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Existence of periodic solutions for a class of second order discrete Hamiltonian systems

机译：一类二阶离散哈密顿系统的周期解的存在性

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摘要

By using the variational minimizing method and the saddle point theorem, the periodic solutions for non-autonomous second-order discrete Hamiltonian systems are considered. The results obtained in this paper complete and extend previous results.

机译：通过使用变分最小化方法和鞍点定理，考虑了非自治二阶离散哈密顿系统的周期解。本文获得的结果完善并扩展了先前的结果。

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来源
《Advances in Difference Equations》 |2016年第1期|共页
作者
Wen Guan; Kuo Yang;
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中图分类数学;
关键词
periodic solutionssecond-order discrete Hamiltonian systemssaddle point theoremleast action principle;

机译：周期解二阶离散哈密顿系统鞍点理论主作用原理;

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专利

1. Existence of periodic solutions for a class of second-order discrete Hamiltonian systems [J] . Gu Hua, An Tianqing Journal of difference equations and applications . 2015,第3a4期

机译：一类二阶离散哈密顿系统的周期解的存在性
2. Existence of periodic solutions for a class of discrete hamiltonian systems [J] . Tang X.H., Zhang Q., Zhang Q.-M. Discrete dynamics in nature and society . 2011,第Pta2期

机译：一类离散哈密顿系统的周期解的存在性
3. Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems [J] . Da-Bin Wang, Hua-Fei Xie, Wen Guan Advances in Difference Equations . 2016,第1期

机译：非自治二阶离散哈密顿系统的周期解的存在性
4. Existence of periodic solution for a class of subquadratic second-order non-autonomous Hamiltonian systems [C] . Jiang Qin, Ma Sheng 2011 International Conference on Consumer Electronics, Communications and Networks . 2011

机译：一类二次二次非自治哈密顿系统的周期解的存在性
5. An extension of KAM theory to quasi-periodic breather solutions in Hamiltonian lattice systems. [D] . Viveros Rogel, Jorge. 2007

机译：将KAM理论扩展到哈密顿晶格系统中的准周期呼吸解。
6. Periodic Solutions of Asymptotically Linear Autonomous Hamiltonian Systems with Resonance [O] . Anna Gołȩbiewska -1

机译：具有共振的渐近线性自治哈密顿系统的周期解
7. Existence of periodic solutions for a class of second order discrete Hamiltonian systems [O] . 2016

机译：一类二阶离散哈密顿系统的周期解的存在性
8. Existence of Periodic Solutions for a Class of Symmetric Hamiltonian Systems [R] . Rabinowitz, P. H. 1986

机译：一类对称哈密顿系统周期解的存在性

Existence of periodic solutions for a class of second order discrete Hamiltonian systems

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