REDUCIBILITY

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Anosov-Katok Constructions for Quasi-Periodic SL(2,R)Cocycles
《Peking Mathematical Journal》2024年第1期203-245,共43页Nikolaos Karaliolios Xu Xu Qi Zhou 
N.Karaliolios was partially supported by LABEX CEMPI(ANR-11-LABX-0007-01)while a post-doc at Université de Lille;.Q.Zhou was partially supported by National Key R&D Program of China(No.2020YFA0713300);NSFC(Grant No.12071232);The Science Fund for Distinguished Young Scholars of Tianjin(No.19JCJQJC61300);Nankai Zhide Foundation。
We prove that if the frequency of the quasi-periodic SL(2,R)cocycle is Diophantine,then each of the following properties is dense in the subcritical regime:for any 1/2<κ<1,the Lyapunov exponent is exactlyκ-Hölder co...
关键词：QUASI-PERIODIC Anosov-Katok construction Almost-reducibility 
Large coupling asymptotics for the entropy of quasi-periodic operators
《Science China Mathematics》2020年第9期1745-1756,共12页Lingrui Ge Jiangong You 
The second author was supported by National Natural Science Foundation of China(Grant No.11871286).
In this paper,we give an asymptotic estimate for the entropy,i.e.,the sum of all positive Lyapunov exponents,of the quasi-periodic nite-range operator with a large trigonometric polynomial potential and Diophantine fr...
关键词：large coupling asymptotics ENTROPY quasi-periodic operator quantitative almost reducibility 
Reducibility for Schrodinger Operator with Finite Smooth and Time-Quasi-periodic Potential
《Chinese Annals of Mathematics,Series B》2020年第3期419-440,共22页Jing LI 
supported by the National Natural Science Foundation of China(Nos.11601277,11771253)。
In this paper, the author establishes a reduction theorem for linear Schr?dinger equation with finite smooth and time-quasi-periodic potential subject to Dirichlet boundary condition by means of KAM(Kolmogorov-Arnold-...
关键词：REDUCIBILITY Quasi-periodic Schrodinger operator KAM theory Finite smooth potential Lyapunov exponent Pure-Point spectrum 
Holder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrodinger Operators
《Analysis in Theory and Applications》2020年第1期33-51,共19页Mei Sun Xueyin Wang 
supported by National Nature Science Foundation of China grant(No.71774070)。
In the present paper,we prove the 1/2-Holder continuity of spectral measures for the C^k Schrodinger operators.This result is based on the quantitative almost reducibility and an estimate for the growth of the Schrodi...
关键词：Schrödinger operator QUASI-PERIODIC almost reducibility finitely differentiable 
On Reducibility of Beam Equation with Quasi-periodic Forcing Potential
《Communications in Mathematical Research》2016年第4期289-302,共14页CHANG JING Li Yong 
The Science Research Plan(Jijiaokehezi[2016]166)of Jilin Province Education Department During the 13th Five-Year Period;the Science Research Starting Foundation(2015023)of Jilin Agricultural University
In this paper, the Dirichlet boundary value problems of the nonlinear beam equation utt ＋ △^2u ＋ αu ＋ εφ（t）（u ＋ u^3） = 0 , α 〉 0 in the dimension one is considered, where u（t,x） and φ（t...
关键词：beam equation infinite dimension Hamiltonian system KAM theory REDUCIBILITY 
Reducibility of Periodic Quasi-Periodic Systems
《International Journal of Modern Nonlinear Theory and Application》2014年第1期6-14,共9页Evi Ezekiel Sangram Redkar 
In this work, the reducibility of quasi-periodic systems with strong parametric excitation is studied. We first applied a special case of Lyapunov-Perron (L-P) transformation for time periodic system known as the Lyap...
关键词：L-P TRANSFORMATION QUASI-PERIODIC System REDUCIBILITY 
On reducibility of a class of nonlinear quasi-periodic systems with small perturbational parameters near equilibrium被引量：2
《Journal of Southeast University(English Edition)》2012年第2期256-260,共5页李佳 朱春鹏 
Consider the reducibility of a class of nonlinear quasi-periodic systems with multiple eigenvalues under perturbational hypothesis in the neighborhood of equilibrium. That is, consider the following system x = （A ＋ ...
关键词：QUASI-PERIODIC REDUCIBLE non-resonance condition non-degeneracy condition KAM iteration 
An Improved Result for Positive Measure Reducibility of Quasi-periodic Linear Systems被引量：2
《Acta Mathematica Sinica,English Series》2006年第1期77-86,共10页Hai Long HE Jian Gong YOU 
The work is supported by the National Natural Science Foundation of China （19925107） and the Special Funds for Major State Basic Research Projects （973 Projects）
In this paper, by the KAM method, under weaker small denominator conditions and nondegeneracy conditions, we prove a positive measure reducibility for quasi-periodic linear systems close to constant： X = （A（λ） ...
关键词：QUASI-PERIODIC REDUCIBILITY KAM NON-DEGENERACY 
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