Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840542 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 12 Pages |
Abstract
In this paper, it is shown by a series of transformations that how Moser's invariant curve theorem can be used to analyze the dynamical behavior of sub-linear Duffing-type equations with impact. We prove that all solutions are bounded, and that there are infinitely many periodic and quasi-periodic solutions in this impact case.
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Authors
Zhiguo Wang, Qihuai Liu, Dingbian Qian,