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一类二次可逆系统Abel积分零点个数的线性估计

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四川师范大学学报（自然科学版） 2009年第6期32卷 727-730页

作者：黎明曲靖师范学院数学与信息科学学院云南曲靖655011

研究了一类二次可逆系统当a=-4/3、b=2时,在n次扰动下Able积分I(h)零点个数的上界.首先,研究了I(h)的代数构造,证明了I(h)可表示为4个生成元的线性组合,最后利用Riccti方程证明得到Abel积分I(h)的零点个数小于15n-11.

关键词：二次可逆系统 Abel积分线性估计零点代数构造

Bifurcation of Limit Cycles in a Quintic Hamiltonian System with Perturbed Terms

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Bifurcation of Limit Cycles in a Quintic Hamiltonian System ...

Parallel Scheduling Algorithms Investigation of Support Strict Resource Reservation from Grid

中国数学力学物理学高新技术交叉研究学会第十三届学术年会

作者： Hong Xiaochun~(*),Tan Benshu~(*) * school of mathematics and information science,qujing normal university,qujing 655011,China + Institute of Applied mathematics,qujing normal university,qujing 655011,China yunnan Radio and TV university,Kunming 650223,China

＜正＞Bifurcation of limit cycles in a quintic Hamiltonian system with five-order perturbed terms is investigated using both qualitative analysis and numerical *** study reveals that there are at most 7 limit cycles in the system using detection *** distributed orderliness of the 7 limit cycles is observed and their nicety places are determined.

关键词： Hamiltonian system limit cycle detection function qualitative analysis numerical exploration

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Parallel Scheduling Algorithms Investigation of Support Stri...

BIFURCATION OF LIMIT CYCLES IN TWO PLANAR POLYNOMIAL SYSTEMS WITH PERTURBED TERMS

2011 3rd IEEE International Conference on information Management and Engineering(ICIME 2011)

作者： Jun Chen 1 1.school of Physics and Electronic Engineering qujing normal university qujing yunnan P.R.China (655011) Bo Li 2 Erfei Wang 2.school of information science and Engineering yunnan university Kunming yunnan P.R.China (650091)

This paper studies resource reservation mechanisms in the strict parallel computing grid,and proposed to support the parallel strict resource reservation request scheduling model and algorithms,FCFS and EASY backfill analysis of two important parallel scheduling algorithm,given four parallel scheduling algorithms supporting resource *** results of four algorithms of resource utilization,job bounded slowdown factor and the success rate of Advanced Reservation（AR） jobs were *** results show that the EASY backfill + firstfit algorithm can ensure QoS of AR jobs while taking into account the performance of good non-AR jobs.

关键词： grid computing strict resource reservation parallel scheduling algorithm

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BIFURCATION OF LIMIT CYCLES IN TWO PLANAR POLYNOMIAL SYSTEMS...

Travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation

The Third International Conference on Dynamics, Vibration and Control

作者： Xiaochun Hong~1,Qinghua Qin~2 1.school of mathematics and information science,qujing normal university,qujing,655000, People’s Republic of China 2.Department of Engineering,Australian National university,Canberra,ACT 0200,Australia

During the past decades the bifurcation of limit cycles of the following planar polynomial system x=P(x,y),y=Q(x,y).(1) has been considerably investigated and has now become a very popular topic in the area of applied mathematics[J. ***.305(2005) 617],where P and Q are two polynomials of degree *** should be mentioned that the system(1) is related to the celebrated Hibert’s 16th *** the perturbed Hamiltonian system x=■-εxR(x,y,λ),y=■εyS(x,y,λ).(2) Li and Huang[Chinese Annals of math.4(1987) 391]showed that 11 limit cycles in a cubic Hamiltonian system under cubic perturbation R(x,y,γ)=S(x,y,γ)=mx+ny-λand obtained the Hilbert number H(3)≥*** et al’s study[Chaos,Solitons & Fractals 11(2000) 2293]indicated that 13 limit cycles in a cubic Hamiltonian system under seven-order perturbation R(x,y,λ)=S(x,y,λ)-mx+ny-λ.Tang & Hong[Chaos,Solitons & Fractals 14(2002) 1361] found that 14 limit cycles in a cubic Hamiltonian system with nine-order perturbed term R(x,y,λ)=S(x,y,λ)-mx+ny-λ.Further,Hong & Oin[Dynamics of Continuous,Discrete and Impulsive Systems 14(2007) 12]found that 15 limit cycles in a cubic Hamiltonian system with five-order perturbed term R(x,y,λ)=S(x,y,λ)=mx+ny+kx-λ.

关键词： Bifurcation of limit cycles detection function numerical exploration Hamiltonian system integrable non-Hamiltonian system

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science China mathematics 2011年第3期54卷 555-572页

作者： DENG ShengFu1, GUO BoLing2 & WANG TingChun2,3 1Department of mathematics, Zhanjiang normal university, Zhanjiang 524048, China 2Institute of Applied Physics and Computational mathematics, Beijing 100088, China 3 College of math.and Physics, Nanjing university of information science and Technology, Nanjing 210044, China 1. Department of mathematics Zhanjiang Normal University Zhanjiang 524048 China2. Institute of Applied Physics and Computational Mathematics Beijing 100088 China3. College of Math and Physics Nanjing University of Information Science and Technology Nanjing 210044 China

The travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation ut-uxxt + (1 + b)umux = buxuxx + uuxxx are considered where b > 1 and m are positive integers. The qualitative analysis methods of planar autonomous systems yield its phase portraits. Its soliton wave solutions, kink or antikink wave solutions, peakon wave solutions, compacton wave solutions, periodic wave solutions and periodic cusp wave solutions are obtained. Some numerical simulations of these solutions are also given.

关键词： homoclinic orbits heteroclinic orbits peakon wave solutions compacton wave solutions periodic cusp wave solutions

ON SQUARE-MEAN ALMOST AUTOMORPHIC MILD SOLUTIONS TO SOME STOCHASTIC DELAY EQUATIONS I:EXISTENCE AND UNIQUENESS

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Annals of Differential Equations 2012年第3期28卷 297-305页

作者： Xiliang Li 1,2,Yuliang Han 2 1.math.and science College,Shanghai normal university,Shanghai 200235 2.College of math.and information sciences,Shandong Institute of Business and Technology,Yantai 264005,Shandong

In this paper,we aim to study the existence and uniqueness of square-mean almost automorphic mild solution to a stochastic delay equation under some suitable assumptions imposed on its *** an application,almost automorphic mild solutions to a class of stochastic partial functional differential equations are analyzed,which shows the feasibility of our results.

关键词： square-mean almost automorphy stochastic functional differential equations

An Iterative Process for a Finite Family of Pseudocontractive Mappings

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Acta mathematica Sinica,English Series 2009年第2期25卷 293-298页

作者： Yi Sheng SONGCollege of mathematics and information science,He ’nan normal university,Xinxiang 453007,P. R. China Henan normal Univ Coll Math & Informat Sci Xinxiang 453007 Peoples R China.

The purpose of this paper is to study the following implicit iteration scheme recentlyintroduced by Xu and Ori [Numer. Funct. Anal. Optim., 22, (2001) 767-773]:x= αx+ (1 -α)Tx, n≥1,and to prove several strongly and weakly convergent theorems of the iteration for a finite family ofpseudocontractive mappings under condition α∈ (0, b] (?) (0,1).

关键词： Pseudocontractive mappings strong and weak convergence implicit iteration process common fixed points

CONTROLLING HYPERCHAOS IN A NEW HYPERCHAOTIC SYSTEM

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Annals of Differential Equations 2011年第3期27卷 323-330页

作者： Yanhua Jiang,Aimin Liu(Center of Education Technology,Yulin normal university,Yulin 537000,Guangxi) Yongjian Liu (school of math. and information science,Yulin normal university,Yulin 537000,Guangxi)

In this paper,the control strategies for a new hyperchaotic system is investiga-ted. Several kinds of feedback controllers are constructed,such as the linear,speed,nonlinear doubly-periodic function feedback controllers. These controllers are used to prevent the new hyperchaos becoming an unstable equilibrium. Finally,numerical simulations are used to verify the effectiveness of the proposed controllers.

关键词： hyperchaos control feedback control Routh-Hurwiz criterion

ON THE GROWTH OF SOLUTIONS TO HIGHER ORDER DIFFERENTIAL EQUATION

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Annals of Differential Equations 2012年第2期28卷 170-179页

作者： Juan Gong, Zongxuan Chen (school of mathematical sciences, South China normal university, Guangzhou 510631) Xiumin Zheng (Institute of math. and information science, Jiangxi normal university, Nanchang 330022)

In this paper, we consider a higher order differential equation and obtain a precise estimate of the order of growth and the hyper-order of solutions to the equation.

关键词： differential equation entire function order of growth hyper-order