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复f—代数上的正交射与Riesz同态
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作者 冯颖 陈滋利 《工程数学学报》 CSCD 北大核心 2006年第6期1117-1120,共4页
本文讨论了复Riesz空间上正交射的结构,得到了复f -代数与复正交射的关系。给出了复,一代数中Riesz同态与代数同态在一定条件下可互推的结果。证明了复Riesz同态满足推广的Schwarz不等式,并得到相关推论。
关键词 Riesz空间 f-代数 正交射 Riesz同态
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左联合谱的一种同态表示
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作者 史平 《南京大学学报(数学半年刊)》 CAS 2002年第1期47-50,共4页
本文我们利用由n-元控制算子组T=(T1…,T1)或族S={T:α∈∧}生成的有单位元的C*-代数C*(T)或C*(S)上的复*-同态表示左联合谱.
关键词 算子 左联合谱 C^*-代数 复同态
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Synchronization and Bifurcation of General Complex Dynamical Networks
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作者 SUN Wei-Gang XU Cong-Xiang +1 位作者 LI Chang-Pin FANG Jin-Qing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第6期1073-1075,共3页
In the present paper, synchronization and bifurcation of general complex dynamical networks are investigated. We mainly focus on networks with a somewhat general coupling matrix, i.e., the sum of each row equals a non... In the present paper, synchronization and bifurcation of general complex dynamical networks are investigated. We mainly focus on networks with a somewhat general coupling matrix, i.e., the sum of each row equals a nonzero constant u. We derive a result that the networks can reach a new synchronous state, which is not the asymptotic limit set determined by the node equation. At the synchronous state, the networks appear bifurcation if we regard the constant u as a bifurcation parameter. Numerical examples are given to illustrate our derived conclusions. 展开更多
关键词 complex dynamical networks SYNCHRONIZATION BIFURCATION
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On a Result of Pointed Representations of finite Dimensional Simple Lie Algebras
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作者 徐祥 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第3期63-65,共3页
There have been a great many of studies on the pointed representations of fi- nite-dimensional sanple Lie algebras.cf.[1][2]etc.In this paper we give a new proof of an impottant Lemma,and from this we derive our main ... There have been a great many of studies on the pointed representations of fi- nite-dimensional sanple Lie algebras.cf.[1][2]etc.In this paper we give a new proof of an impottant Lemma,and from this we derive our main result:Irreducible pointed modules of finite -dimesional simple Lie algebras are all Harish-Chandra modules. 展开更多
关键词 Lie algebra algebra homomorphism
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SYNCHRONIZATION IN COMPLEX DYNAMICAL NETWORKS
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作者 WANGXiaofan CHENGuanrong 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第3期358-371,共14页
In the past few years, the discovery of small-world and scale-free properties of many natural and artificial complex networks has stimulated increasing interest in further studying the underlying organizing principles... In the past few years, the discovery of small-world and scale-free properties of many natural and artificial complex networks has stimulated increasing interest in further studying the underlying organizing principles of various complex networks. This has led to significant advances in understanding the relationship between the topology and the dynamics of such complex networks. This paper reviews some recent research works on the synchronization phenomenon in various dynamical networks with small-world and scale-free connections. 展开更多
关键词 complex network SYNCHRONIZATION STABILITY CONTROL
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SOME SYNCHRONIZATION CRITERIA FOR GENERAL COMPLEX NETWORKS WITH COUPLING DELAYS
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作者 Huan PAN Xiaohong NIAN Weihua GUI 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2011年第6期1057-1067,共11页
A general complex delayed dynamical network model with asymmetric coupling matrix is considered in this paper. For reducing the conservativeness of synchronization criteria, several novel synchronization stability con... A general complex delayed dynamical network model with asymmetric coupling matrix is considered in this paper. For reducing the conservativeness of synchronization criteria, several novel synchronization stability conditions are presented by using delay decomposition methods. Numerical examples which are widely used to study delay-dependent synchronization stability are given to illustrate the effectiveness of the proposed methods. 展开更多
关键词 Asymmetric coupling complex network linear matrix inequality SYNCHRONIZATION timedelay.
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