A result on the quasi-periodic solutions of forced isochronous oscillators at resonance
A result on the quasi-periodic solutions of forced isochronous oscillators at resonance
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DOI：
10.1007/s11401-015-0912-x
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发表时间：
2015-06
期刊：
影响因子：
--
通讯作者：
B. Liu;Ying Tang
中科院分区：
文献类型：
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作者：
B. Liu;Ying Tang
本文研究了具有排斥奇异性和有界非线性项的受迫等熵振子，其中V，g和e的假设是正则的，在引言中有精确的描述。利用不变曲线的Moser扭定理的一个变体，证明了拟周期解的存在性和所有解的有界性。这将刘的结果推广到上述系统的情况，其中e取决于速度。
In this paper, the authors are concerned with the forced isochronous oscillators with a repulsive singularity and a bounded nonlinearity where the assumptions on V, g and e are regular, described precisely in the introduction. Using a variant of Moser's twist theorem of invariant curves, the authors show the existence of quasi-periodic solutions and boundedness of all solutions. This extends the result of Liu to the case of the above system where e depends on the velocity.