【摘 要】
:
In this paper we consider a class of polynomial planar system with two small parameters,ε and λ,satisfying 0 < ε << λ << 1.The corresponding first order Melnikov function M1 with respect to ε depends on λ so that it has an expansion of the form M1 (h,λ) =
【机 构】
:
The Institute of Mathematics,Anhui Normal University,Wuhu 241000,China;Department of Mathematics,Zhe
其他文献
This paper is concerned with a stability problem on perturbations near a physi-cally important steady state solution of the 3D MHD system.We obtain three major results.The first assesses the existence of global solutions with small initial data.Second,we
生态空间是城市群人居环境的重要保障,探析城市群生态空间游憩利用扩展的格局及影响因素,对于完善城市群功能、构建均衡共享的生态空间游憩服务体系具有重要意义。以珠三角城市群为研究区域,从数量和面积两方面分析其在1990—2017年间区域内生态空间游憩利用的动态扩展特征,并探究其影响因素。研究结果表明:(1)生态空间游憩利用的数量扩展方面具有"由少数点向内、外同时扩展→由外向内部分填充"的特征;(2)生态
构建由自噬相关基因组成的预后模型,预测肝细胞癌(HCC)患者的生存预后情况,为其个性化诊疗和临床研究提供依据。利用TCGA数据库中HCC的测序信息与人类自噬数据库联合,筛选差异表达的自噬相关基因,对其进行GO富集与KEGG通路分析;通过单因素与多因素Cox分析筛选与患者生存预后明显相关的风险基因,构建预后风险评分模型;根据模型计算患者风险值并验证模型,利用GEPIA2.0网页工具与HPA数据库对风险基因在HCC中的表达情况以及与生存预后的关系进行验证。结果发现,HCC肿瘤组织相较正常组织共筛选到61个差异
This paper is concerned with the spatial propagation of an SIR epidemic model with nonlocal diffusion and free boundaries describing the evolution of a disease.This model can be viewed as a nonlocal version of the free boundary problem studied by Kim et a
以顾泠沅先生提出的数学认知水平分析框架为依据,对大陆人教版与台湾康轩版初中数学教材中“一元一次方程”习题进行量化比较与质性分析,发现:在习题总量方面,两版教材关注点不同,康轩版聚焦课堂学习,人教版更关注课后练习;在认知水平方面,两版教材操作性记忆水平习题占比差别较大,康轩版是人教版的两倍多,概念性记忆水平和说明性理解水平习题占比人教版高于康轩版,探究性理解水平习题占比相似;在习题设计方面,两版教材各有特色,人教版习题强调层次性和探索性,康轩版习题注重自主性和发展性,且两版习题都突出情境性和应用性.建议人教
We characterize the complex differential equations of the form dy/dx=an(x)yn + an-1(x)yn-1 +… + a1(x)y + a0(x),where aj(x) are meromorphic functions in the variable x for j =0,...,n that admit either a Weierstrass first integral or a Weierstrass inverse i
In this paper,we consider composite quantile regression for partial functional linear re-gression model with polynomial spline approximation.Under some mild conditions,the convergence rates of the estimators and mean squared prediction error,and asymptoti
In this paper,we construct k-valued random analytic algebroid functions for the first time.By combining the properties of random series,we study the growth and Borel points of random analytic algebroid functions in the unit disc and obtain some interestin
Some sufficient conditions of the energy conservation for weak solutions of in-compressible viscoelastic flows are given in this paper.First,for a periodic domain in R3,and the coefficient of viscosity μ =0,energy conservation is proved for u and F in cer