27 citations · 34 across the 4 of their papers we have counts for
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Quantitative Reducibility of Quasi-Periodic Cocycles
Ao Cai, Huihui Lv, Zhiguo Wang
This paper establishes an extreme reducibility theorem of quasi-periodic cocycles in the local perturbative region, revealing both the essence of Eliasson…
Reducibility of quantum harmonic oscillator on with differential and quasi-periodic in time potential
Zhenguo Liang, Zhiguo Wang
We improve the results by Grébert and Paturel in \cite{GP} and prove that a linear Schrödinger equation on with harmonic potential and small -quasiperiodic potenti…
1d Quantum Harmonic Oscillator Perturbed by a Potential with Logarithmic Decay
Zhiguo Wang, Zhenguo Liang
In this paper we prove an infinite dimensional KAM theorem, in which the assumptions on the derivatives of perturbation in \cite{GT} are weakened from polynomial decay to logarithm…
Boundedness of semilinear Duffing equations at resonance with oscillating nonlinearities
Zhiguo Wang, Daxiong Piao, Yiqian Wang
In this paper, we prove the boundedness of all the solutions for the equation with the Lazer-Leach condition on and , where $n\in \mathbb{N^+…