26 citations · 31 across the 11 of their papers we have counts for
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Construction of quasi-periodic solutions for delayed perturbation differential equations
Xiaolong He, Xiaoping Yuan
We employ the Craig-Wayne-Bourgain method to construct quasi-periodic solutions for delayed perturbation differential equations. Our results not only implement the existing literat…
On the Kolmogorov theorem for some infinite-dimensional Hamiltonian systems of short range
Yuan Wu, Xiaoping Yuan
In this paper, it is proved that the infinite KAM torus with prescribed frequency exists in a sufficiently small neighborhood of a given for nearly integrable and analytic…
KAM theorem with normal frequencies of finite limit-points for some shallow water equations
Xiaoping Yuan
By constructing an infinite dimensional KAM theorem of the normal frequencies being dense at finite-point, we show that some shallow water equations such as Benjamin-Bona-Mahony eq…
Lagrange stability for impulsive Duffing equations
Jianhua Sun, Lu Chen, Xiaoping Yuan
This work discusses the boundedness of solutions for impulsive Duffing equation with time-dependent polynomial potentials. By KAM theorem, we prove that all solutions of the Duffin…