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COCYCLE: 作品数：22被引量：15H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：刘敏王标梁明周麒赵昕更多>>; 相关机构：华中师范大学南京大学杭州师范大学中国科学技术大学更多>>; 相关期刊：《Frontiers of Mathematics in China》《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》更多>>; 相关基金：国家自然科学基金河北省自然科学基金浙江省自然科学基金更多>>

THE HOLDER CONTINUITY OF THE LYAPUNOV EXPONENT FOR A QUASI-PERIODIC SZEGO COCYCLE: 《Acta Mathematica Scientia》2024年第6期2099-2110,共12页BEI ZHANG; supported by the NSFC(11571327,11971059)。; In this paper,I consider the Hölder continuity of the Lyapunov exponent for a quasi-periodic Szegö cocycle with weak Liouville frequency.I extend the existing results about the regularity of the Lyapunov exponent from...; 关键词：Szegöcocycle Lyapunov exponents Holder continuity orthogonal polynomials

One-dimensional monotone nonautonomous dynamical systems: 《Science China Mathematics》2024年第2期281-314,共34页David Cheban; supported by the State Program of the Republic of Moldova “Multivalued Dynamical Systems, Singular Perturbations, Integral Operators and Non-Associative Algebraic Structures (Grant No. 20.80009.5007.25)”; This work is devoted to the study of the dynamics of one-dimensional monotone nonautonomous(cocycle) dynamical systems. A description of the structures of their invariant sets, omega limit sets,Bohr/Levitan almost per...; 关键词：one-dimensional dynamics pinched and minimal sets global attractors monotone nonautonomous cocycle almost periodic solutions scalar differential/difference equations

Joint Continuity of Lyapunov Exponent for Finitely Smooth Quasi-periodic Schrodinger Cocycles: 《Acta Mathematica Sinica,English Series》2021年第7期1131-1142,共12页Jin Hao LIANG Lin Lin FU; We prove the joint continuity of Lyapunov exponent in the energy and the Diophantine frequency for quasi-periodic Schrodinger cocycles with the C^(2)cos-type potentials.In particular,the Lyapunov exponent is log-Holde...; 关键词：Schrodinger cocycle Lyapunov exponent C^(2)cos-type potential

Bi-Lyapunov St able Homoclinic Classes for C^(1)Generic Flows: 《Acta Mathematica Sinica,English Series》2021年第7期1023-1040,共18页Ru Song ZHENG; We study bi-Lyapunov stable homoclinic classes for a C^(1)generic flow on a closed Rieman-nian manifold and prove that such a homoclinic class contains no singularity.This enables a parallel study of bi-Lyapunov stabl...; 关键词：Bi-Lyapunov stable homoclinic class SINGULARITY dominated splitting linear cocycle

New proof of continuity of Lyapunov exponents for a class of smooth Schrödinger cocycles with weak Liouville frequencies: 《Frontiers of Mathematics in China》2020年第3期467-489,共23页Linlin FU Jiahao XU Fan WU; This work was supported by the National Natural Science Foundation of China(Grant No.11771205).; We reconsider the continuity of the Lyapunov exponents for a class of smooth Schrödinger cocycles with a C2 cos-type potential and a weak Liouville frequency.We propose a new method to prove that the Lyapunov exponent...; 关键词：Schrodinger cocycle Lyapunov exponent(LE) weak Liouville frequency C2 cos-type potential large deviation theorem(LDT)

Cyclic posets and triangulation clusters: 《Science China Mathematics》2019年第7期1289-1316,共28页Kiyoshi Igusa Gordana Todorov; Triangulated categories coming from cyclic posets were originally introduced by the authors in a previous paper as a generalization of the constructions of various triangulated categories with cluster structures.We gi...; 关键词：CACTUS CYCLIC POSET cluster structure triangulated CATEGORIES Frobenius CATEGORIES COCYCLE

The Ore-Sato Theorem and Shift Exponents in the q-Difference Case被引量：2: 《Journal of Systems Science & Complexity》2019年第1期271-286,共16页DU Hao LI Ziming; supported by the National Natural Science Foundation of China under Grant Nos.11501552,11871067;supported by the National Natural Science Foundation of China under Grant No.11771433;the Fund of the Youth Innovation Promotion Association,CAS; The authors translate the main results in the paper entitled "Multiplicative Decomposition of Multivariate q-Hypergeometric Terms" from Chinese into English. The paper is written by Shaoshi Chen, Ruyong Feng, Guofeng ...; 关键词：Coboundary COCYCLE q-factorial TERM q-hypergeometric TERM

Local Cocycle 3-Hom-Lie Bialgebras and 3-Lie Classical Hom-Yang-Baxter Equation: 《Journal of Mathematical Research with Applications》2017年第6期667-678,共12页Mengping WANG Linli WU Yongsheng CHENG; Supported by the National Natural Science Foundation of China(Grant No.11047030);the Science and Technology Program of Henan Province(Grant No.152300410061); In this paper, we introduce 3-Horn-Lie bialgebras whose compatibility conditions between the multiplication and comultiplication are given by local cocycle conditions. We study a twisted 3-ary version of the Yang-Baxt...; 关键词：local cocycle 3-Horn-Lie bialgebra 3-Lie CHYBE coboundary condition

Cocycle形变的整体维数: 《山东大学学报（理学版）》2016年第8期39-43,48,共6页俞晓岚; 浙江省自然科学基金资助项目(LQ12A01028);国家自然科学基金资助项目(11301126); 证明了如果H是整体维数为d的交换Hopf代数,那么H的cocycle形变的整体维数小于等于d,即交换Hopf代数的cocycle形变保持整体维数的有界性。; 关键词：HOPF代数 cocycle形变整体维数

Extensions of n-Hom Lie algebras被引量：1: 《Frontiers of Mathematics in China》2015年第3期511-522,共12页Ruipu BAI Ying LI; Acknowledgements This work was supported in part by the National Natural Science Foundation of China （Grant No. 11371245） and the Natural Science Foundation of Hebei Province, China （Grant No. A2014201006）.; n-Hom Lie algebras are twisted by n-Lie algebras by means of twisting maps. n-Horn Lie algebras have close relationships with statistical mechanics and mathematical physics. The paper main concerns structures and repr...; 关键词：n-Horn Lie algebra REPRESENTATION EXTENSION np-cocycle

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