REDUCIBILITY

作品数:74被引量:128H指数:6
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相关作者:于丽梅朱晓兵石川陈冰冰宋振明更多>>
相关机构:四川大学里尔科技大学大连理工大学西南交通大学更多>>
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相关基金:国家自然科学基金中国博士后科学基金北京市自然科学基金广西壮族自治区自然科学基金更多>>
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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 
Reducibility for a Class of Two-Dimensional almost Periodic System with Small Perturbation
《Advances in Pure Mathematics》2021年第12期950-962,共13页Fanhui Meng Wenhua Qiu 
This paper focuses on the reducibility of two-dimensional almost periodic system with small perturbation. We use the KAM iterative method to get the reducibility by an almost periodic transformation. The system has be...
关键词:Almost Periodic System KAM Iterative Method REDUCIBILITY 
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 the Reducibility of a Class of Linear Almost Periodic Differential Equations
《Communications in Mathematical Research》2019年第1期1-9,共9页Afzal Muhammad Guo Shu-zheng Li Yong 
The NSF(11571327) of China;NSF(ZR2013AM026) of Shandong Province
In this paper, we use KAM methods to prove that there are positive measure Cantor sets such that for small perturbation parameters in these Cantor sets a class of almost periodic linear differential equations are redu...
关键词:ALMOST PERIODIC REDUCIBILITY KAM ITERATION 
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