期刊：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY,2010年36(2):217-238 ISSN：1017-060X
通讯作者：
Wang, Z. -G.
作者机构：
[Wang, Z. -G.] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.;[Jiang, Y. -P.] Hunan Univ, Sch Math & Econometr, Changsha 410082, Hunan, Peoples R China.
通讯机构：
[Wang, Z. -G.] H;Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
作者机构：
[Tong, Xiaojiao] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421002, Peoples R China.;[Liu, Chunping] Hebei Extra High Voltage Branch, Shijiazhuang 050070, Peoples R China.;[Luo, Xiao] Hong Kong Polytech Univ, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China.;[Zhou, Renjun] Changsha Univ Sci & Technol, Sch Elect & Informat Engn, Changsha 410014, Hunan, Peoples R China.
通讯机构：
[Tong, Xiaojiao] H;Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421002, Peoples R China.
会议名称：
3rd International Symposium on Optimization and Systems Biology
会议时间：
SEP 20-22, 2009
会议地点：
Chinese Acad Sci, Zhangjiajie, PEOPLES R CHINA
会议主办单位：
Chinese Acad Sci
关键词：
Available transfer capability (ATC);smoothing newton method;static security;wind generation
摘要：
The approach of available transfer capability (denoted as ATC) incorporating wind generation has been paid very high attention since the development of wind generation. Based on the maximum function, this paper presents an ATC model. The characteristic of the new model is twofold. First, it considers wind turbines connected to power system and static security of power system simultaneously. Second, it is a system of semismooth equations and can be solved easily. By using the smoothing strategy, a smoothing Newton method is adopted for solving the proposed new ATC model. Numerical simulation results of the IEEE 30-bus and 118-bus system show that the new model and algorithm are feasible and effective. The impact of wind turbines connected to power system on ATC is also analyzed.
期刊：
OSAKA JOURNAL OF MATHEMATICS,2009年46(4):1097-1141 ISSN：0030-6126
通讯作者：
Li, Liulan
作者机构：
[Li, Liulan] Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.;[Ohshika, Ken'Ichi] Osaka Univ, Grad Sch Sci, Dept Math, Osaka 5600043, Japan.;[Wang, Xiantao] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China.
通讯机构：
[Li, Liulan] H;Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.
关键词：
In this paper;we generalise the first Klein-Maskit combination theorem to discrete groups of Möbius transformations in higher dimensions. The application of the main theorem is discussed in the last section. Published: December 2009 First available in Project Euclid: 15 December 2009 zbMATH: 1196.30036 MathSciNet: MR2604923 Subjects: Primary: 30F40 Secondary: 20H10
摘要：
In this paper, we generalise the first Klein-Maskit combination theorem to discrete groups of Möbius transformations in higher dimensions. The application of the main theorem is discussed in the last section.
摘要：
For rectangular finite element, we give a superconvergence method by SPR technique based on the generalization of a new ultraconvergence record and the sharp Green function estimates, by which we prove that the derivative has ultra-convergence of order O(h
k+3) (k ⩾ 3 being odd) and displacement has order of O(h
k+4) (k ⩾ 4 being even) at the locally symmetry points.
期刊：
Journal of Mathematical Analysis and Applications,2008年340(2):932-942 ISSN：0022-247X
通讯作者：
Jin, Jianjun
作者机构：
[Jin, Jianjun; Jin, JJ] Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.
通讯机构：
[Jin, Jianjun] H;Hengyang Normal Univ, Dept Math, Hengyang 421008, Hunan, Peoples R China.
关键词：
Hilbert's type inequality;weight coefficient;best constant factor
摘要：
By introducing two pairs of conjugate exponents and estimating the weight coefficients, we give generalizations of some Hilbert's type inequalities with the best constant factor. As applications, some particular results are considered. (C) 2007 Elsevier Inc. All rights reserved.
期刊：
Open Mathematics,2008年6(4):568-575 ISSN：2391-5455
通讯作者：
Yang Zhifeng
作者机构：
[Yang Zhifeng; Yang, ZF] Hengyang Normal Univ, Dept Math, Hengyang Hunan 421008, Peoples R China.
通讯机构：
[Yang Zhifeng] H;Hengyang Normal Univ, Dept Math, Hengyang Hunan 421008, Peoples R China.
关键词：
viscoelastic equation;initial boundary value problem;blow-up;life-span
摘要：
The initial boundary value problem for a viscoelastic equation with nonlinear damping in a bounded domain is considered. By modifying the method, which is put forward by Li, Tasi and Vitillaro, we sententiously proved that, under certain conditions, any solution blows up in finite time. The estimates of the life-span of solutions are also given. We generalize some earlier results concerning this equation.
作者机构：
[Wang Yan-Qun] Hengyang Normal Univ, Dept Math, Hengyang 421008, Peoples R China.;Guangdong Med Coll, Sch Basic Med Sci, Dongguan 523808, Peoples R China.
通讯机构：
[Wang Yan-Qun] H;Hengyang Normal Univ, Dept Math, Hengyang 421008, Peoples R China.
关键词：
general solution;Melnikov function;period doubling;chaos
摘要：
The chaotic dynamics of a Duffing oscillator with a parametric force is investigated. By using the direct perturbation technique, we analytically obtain the general solution of the 1st-order equation. Through the boundedness condition of the general solution we get the famous Melnikov function predicting the onset of chaos. When the parametric and external forces are strong, numerical simulations show that increasing the amplitude of the parametric or external force can lead the system into chaos via period doubling.
作者机构：
[Peng, Guojun; Peng, GJ] Hengyang Normal Univ, Dept Math, Hengyang 421008, Peoples R China.
通讯机构：
[Peng, Guojun] H;Hengyang Normal Univ, Dept Math, Hengyang 421008, Peoples R China.
关键词：
fractional order;chaos;synchronization
摘要：
The chaotic dynamics of fractional order systems have attracted much attentions recently. In this Letter, we study the synchronization of the fractional order chaotic systems with a unidirectional linear error feedback coupling. The numerical results show that the fractional order chaotic systems can also be synchronized. (C) 2006 Elsevier B.V. All rights reserved.
