COHOMOLOGY

作品数:124被引量:100H指数:6
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相关领域:理学更多>>
相关作者:王圣祥周建华杨森更多>>
相关机构:东南大学滁州学院浙江大学更多>>
相关期刊:《Chinese Physics Letters》《Peking Mathematical Journal》《Communications in Computational Physics》《Acta Mathematica Scientia》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>
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Noncommutative Differential Calculus and Its Application on Discrete Spaces被引量:3
《Communications in Theoretical Physics》2008年第1期37-44,共8页LIU Zhen BAI Yong-Qiang WU Ke GUO Han-Ying 
The project supported by National Natural Science Foundation of China under Grant No.10626016;China Postdoctor Science Foundation of Henan University under Grant No.05YBZR014
We present the noncommutative differential calculus on the function space of the infinite set and construct a homotopy operator to prove the analogue of the Poincare lemma for the difference complex. Then the horizont...
关键词:noncommutative differential calculus Poincare lemma horizontal and vertical complexes Euler-Lagrange cohomology 
On General Volume-Preserving Mechanical Systems via Cohomology
《Communications in Theoretical Physics》2003年第5X期595-600,共6页ZHOUBin GUOHan-Ying WUKe 
We present the general form of equations that generate a volume-preserving flow on a symplectic manifold (M,ω) via the highest Euler-Lagrange cohomology.It is shown that for every volume-preserving flow there are som...
关键词:机械系统 上同调 耦对映射总管 欧拉-拉格朗日上同调 哈密顿体系 统计物理学 
Difference Discrete Variational Principles, Euler?Lagrange Cohomology and Symplectic, Multisymplectic Structures III: Application to Symplectic and Multisymplectic Algorithms被引量:10
《Communications in Theoretical Physics》2002年第3期257-264,共8页GUOHan-Ying WUKe 等 
In the previous papers I and II, we have studied the difference discrete variational principle and the Euler?Lagrange cohomology in the framework of multi-parameter differential approach. We have gotten the difference...
关键词:discrete variation Euler-Lagrange cohomology symplectic algorithm multisymplectic algorithm 
Difference Discrete Variational Principle,Euler—Lagrange Cohomology and Symplectic,Multisymplectic Structures II:Euler—Lagrange Cohomology被引量:9
《Communications in Theoretical Physics》2002年第2期129-138,共10页GUOHan-Ying WUKe 等 
国家自然科学基金,国家重点基础研究发展计划(973计划)
In this second paper of a series of papers, we explore the difference discrete versions for the Euler?Lagrange cohomology and apply them to the symplectic or multisymplectic geometry and their preserving properties in...
关键词:discrete variation Euler-Lagrange cohomology symplectic and multisymplectic structures 
Difference Discrete Variational Principles,Euler—Lagrange Cohomology and Symplectic,Multisymplectic Structures I:Difference Discrete Variational Principle被引量:14
《Communications in Theoretical Physics》2002年第1期1-10,共10页GUOHan-Ying WUKe 等 
国家自然科学基金,国家重点基础研究发展计划(973计划)
In this first paper of a series, we study the difference discrete variational principle in the framework of multi-parameter differential approach by regarding the forward difference as an entire geometric object in vi...
关键词:变分原理 欧拉拉格郎日上同伦 合成结构 
A Note on Symplectic Algorithm
《Communications in Theoretical Physics》2001年第7期11-18,共8页GUO Han-Ying LI Yu-Qi WU Ke 
We present the symplectic algorithm in the Lagrangian formalism for the Hamiltonian systems by virtue of the noncommutative differential calculus with respect to the discrete time and the Euler-Lagrange cohomological ...
关键词:SYMPLECTIC algorithm  LAGRANGIAN formalism  EULER-LAGRANGE COHOMOLOGY 
On Symplectic and Multisymplectic Structures and Their Discrete Versions in Lagrangian Formalism被引量:4
《Communications in Theoretical Physics》2001年第6期703-710,共8页GUOHan-Ying LIYu-Qi  
We introduce the Euler-Lagrange cohomology to study the symplectic and multisymplectic structures and their preserving properties in finite and infinite dimensional Lagrangian systems respectively. We also explore the...
关键词:Euler-Lagrange cohomology difference discrete variational principle symplectic structure 
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