39 citations · 56 across the 13 of their papers we have counts for
14 papers
Global flows for the cubic nonlinear Schrödinger equation without decay assumptions
Shinichi Kotani, Yiqian Wang, Jiahao Xu +1
For each positive integer , we construct global spectral group actions for the defocusing and focusing nonlinear Schrödinger hierarchies on initial-data classes containing $W^{2…
Intermittent--synchronization in non-weakly coupled piecewise linear expanding map lattice: a geometric-combinatorics method
Junke Zhang, Yiqian Wang
The coupled (chaotic) map lattices (CMLs) characterizes the collective dynamics of a spatially distributed system consisting of locally or globally coupled maps. The current resear…
The Dry Ten Martini Problem for cosine-type quasiperiodic Schrödinger operators
Lingrui Ge, Yiqian Wang, Jiahao Xu
This paper solves ``The Dry Ten Martini Problem'' for cosine-type quasiperiodic Schrödinger operators with large coupling constants and Diophantine frequencies, a model origi…
Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles
Lingrui Ge, Yiqian Wang, Jiangong You +1
We construct discontinuous point of the Lyapunov exponent of quasiperiodic Schrödinger cocycles in the Gevrey space with . In contrast, the Lyapunov exponent has been…
The precise regularity of the Lyapunov exponent for Cos-type quasiperiodic Schrödinger cocycles with large couplings
Jiahao Xu, Lingrui Ge, Yiqian Wang
In this paper, we study the regularity of the Lyapunov exponent for quasiperiodic Schrödinger cocycles with cos-type potentials, large coupling constants, and a fixed Diophan…
Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles
Jinhao Liang, Yiqian Wang, Jiangong You
We prove the Hölder continuity of the Lyapunov exponent for quasi-periodic Schrödinger cocycles with a cos-type potential and any fixed Liouvillean frequency, provided the co…
Intermittent behaviors in weakly coupled map lattices
Tiexiang Li, Wen-wei Lin, Yiqian Wang +1
In this paper, we study intermittent behaviors of coupled piecewise-expanding map lattices with two nodes and a weak coupling. We show that the successive phase transition between…
Quasi-Periodic Schrödinger Cocycles with Positive Lyapunov Exponent are not Open in the Smooth Topology
Yiqian Wang, Jiangong You
One knows that the set of quasi-periodic Schrödinger cocycles with positive Lyapunov exponent is open and dense in the analytic topology. In this paper, we construct cocycles with…
Cantor spectrum for a class of quasiperiodic Schrödinger operators
Yiqian Wang, Zhenghe Zhang
We show that for a class of quasiperiodic potentials and for any Diophantine frequency, the spectrum of the corresponding Schrödinger operators is Cantor. Our approach is of…
Uniform Positivity and Continuity of Lyapunov Exponents for a Class of Quasiperiodic Schrödinger Cocycles
Yiqian Wang, Zhenghe Zhang
We show that for a class of quasiperiodic potentials and for any Diophantine frequency, the Lyapunov exponents of the corresponding Schrödinger cocycles are uniformly positiv…
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^+…
Quasi-periodic solutions for p-Laplacian equations with jumping nonlinearity and unbounded potential terms
Xiao Ma, Daxiong Piao, Yiqian Wang
In this paper, we are concerned with the boundedness of all the solutions for a kind of second order differential equations with p-Laplacian term $(ϕ_p(x'))'+aϕ_p(x^+)-bϕ_p(x^-)+f(…
Boundedness for Second Order Differential Equations with Jumping p-Laplacian and an Oscillating Term
Xiao Ma, Daxiong Piao, Yiqian Wang
In this paper, we are concerned with the boundedness of all the solutions for a kind of second order differential equations with p-Laplacian and an oscillating term $(ϕ_p(x'))'+aϕ_…
Examples of Discontinuity of Lyapunov Exponent in Smooth Quasi-Periodic Cocycles
Yiqian Wang, Jiangong You
We study the regularity of the Lyapunov exponent for quasi-periodic cocycles where is an irrational rotation on $\SS^1$ and $A\in {\cal C}^l(\SS^1, S…