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.
作者机构：
[Wang Y.-Q.] Department of Mathematics, Hengyang Normal University, Hengyang 421008, China;[Wu Q.] School of Basic Medical Science, Guangdong Medical College, Dongguan 523808, China
通讯机构：
[Wang, Y.-Q.] D;Department of Mathematics, , Hengyang 421008, China
作者机构：
Department of Mathematics, Hengyang Normal University, Hunan, 421008;[罗李平] 衡阳师范学院
关键词：
impulse;quasilinear;delay;system of hyperbolic equations;oscillation
摘要：
In this paper, oscillatory properties for solutions of the systems of certain quasilinear impulsive delay hyperbolic equations with nonlinear diffusion coefficient are investigated. A sufficient criterion for oscillations of such systems is obtained.
作者机构：
School of Computer Science and Technology Huazhong University of Science and Technology Wuhan 430074 China;Department of Mathematics Hengyang Normal University Hengyang 421008 China
关键词：
Protein structure prediction;Three-dimensional protein model;Quasi-physical algorithm;Heuristics
摘要：
A three-dimensional off-lattice protein model with two species of monomers, hydrophobic and hydrophilic, is studied. Enlightened by the law of reciprocity among things in the physical world, a heuristic quasi-physical algorithm for the protein structure prediction problem is put forward. First, by elaborately simulating the movement of the smooth elastic balls in the physical world, the algorithm finds low energy configurations for a given monomer chain. An “off-trap” strategy is then proposed to get out of local minima. Experimental results show promising performance. For all chains with lengths 13≤n≤55, the proposed algorithm finds states with lower energy than the putative ground states reported in the literature. Furthermore, for chain lengths n=21, 34, and 55, the algorithm finds new low energy configurations different from those given in the literature.
作者机构：
[王智慧] Department of Mathematics, Shaoyang University, Shaoyang 422004, China;[欧阳自根] Department of Mathematics, Nanhua University, Hengyang 421001, China;[罗李平] Department of Mathematics, Hengyang Normal University, Hengyang 421008, China
期刊：
Applied Mathematics E - Notes,2006年6:294-303 ISSN：1607-2510
通讯作者：
Tang, X.-H.
作者机构：
[Tang X.-H.; Qiu D.-H.] Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China
通讯机构：
[Tang, X.-H.] D;Department of Mathematics, Hengyang Normal University, China
摘要：
In this paper, we proved the even order nonlinear neutral delay differential equation [x(t) - p(t)g(x(t - τ))](n) = q(t)h(x(t - σ)) has the same oscillatory character as its linearized equation [x(t) -pox(t - τ)](n) = qox(t - σ) under some rather relaxed conditions on g(u) and h(u), where po = limt →-∞ p(t), go = limt → ∞ q(t).
作者：
Jing-Fa Liu1,2* and Wen-Qi Huang1 1 School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China;2Department of Mathematics, Hengyang Normal College, Hengyang 421008, China.
期刊：
基因组蛋白质组与生物信息学报,2006年4(1):61-66 ISSN：1672-0229
通讯作者：
Liu, J.-F.
作者机构：
[Jing-Fa Liu1,2* and Wen-Qi Huang1 1 School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China] School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China. ljf720622@163.com
通讯机构：
School of Computer Science and Technology, Huazhong University of Science and Technology, China
摘要：
In this paper, we study an off-lattice protein AB model with two species of monomers, hydrophobic and hydrophilic, and present a heuristic quasi-physical algorithm. First, by elaborately simulating the movement of the smooth solids in the physical world, we find low-energy conformations for a given monomer chain. A subsequent off-trap strategy is then proposed to trigger a jump for a stuck situation in order to get out of the local minima. The algorithm has been tested in the three-dimensional AB model for all sequences with lengths of 13-55 monomers. In several cases, we renew the putative ground state energy values. The numerical results show that the proposed methods are very promising for finding the ground states of proteins.
作者机构：
[肖娟] Department of Mathematics, Hengyang Normal University, Hengyang 421008, China;[肖娟; 罗治国] College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China
期刊：
Journal of Mathematical Study,2004年37(4):338-346 ISSN：1006-6837
作者机构：
[张弘] School of Science, Jiangsu University;[严建明] Department of Mathematics, Hengyang Teachers College;[罗桂烈] Mathematics and Computer Science College, Guangxi Normal University
作者：
Gan Shi-xin 1, Qiu De-hua 2 1.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China;2. Department of Mathematics, Hengyang Teacher’s College, Hengyang 421008, Hunan, China
作者机构：
[Gan Shi-xin 1, Qiu De-hua 2 1.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China] School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei, China;[Qiu De-hua] Department of Mathematics, Hengyang Teacher's College, Hengyang, Hunan, China
关键词：
p-smoothable;BANACH;space;WEIGHTED;partial;SUM;MARTINGALE;difference;sequence;STRONG;law;of;large;NUMBERS;p-smoothable Banach space;weighted partial sum;martingale difference sequence;strong law of large numbers
摘要：
Let {Xn, n≥1} be a martingale difference sequence and {a nk , 1?k?n,n?1} an array of constant real numbers. The limiting behavior of weighted partial sums ∑ k=1 n a nk X k is investigated and some new results are obtained.
