Existence of quasiperiodic solutions and Littlewood's boundedness problem of super-linear impact oscillators
Existence of quasiperiodic solutions and Littlewood's boundedness problem of super-linear impact oscillators
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DOI：
10.1016/j.amc.2011.01.037
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发表时间：
2011-03
期刊：
影响因子：
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通讯作者：
Zhiguo Wang;Yiqian Wang
中科院分区：
文献类型：
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作者：
Zhiguo Wang;Yiqian Wang
So far most application of Kolmogorov–Arnold–Moser (KAM) theory has been restricted to smooth dynamical systems. In this paper, it is shown by a series of transformations that how KAM theory can be used to analyze the dynamical behavior of Duffing-type equations with impact. The analysis is carried out for the examplewith p∈C5being periodic. We prove that all solutions are bounded, and that there are infinitely many periodic and quasiperiodic solutions in this case.
