Invariant curves of quasi-periodic reversible mappings
Invariant curves of quasi-periodic reversible mappings
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DOI：
10.1088/0951-7715/18/2/012
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发表时间：
2005-03
期刊：
影响因子：
1.7
通讯作者：
B. Liu
中科院分区：
文献类型：
--
作者：
B. Liu
讨论了平面可逆映射的准周期不变量曲线的存在性。作为应用，我们将研究钟摆型方程和非对称振子随时间拟周期变化的拟周期解的存在性和解的有界性。
We deal with the existence of invariant curves of planar reversible mappings which are quasi-periodic in one of the spatial variables. As applications, we will study the existence of quasi-periodic solutions and the boundedness of solutions for a pendulum-type equation and an asymmetric oscillator depending quasi-periodically on time.