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国家自然科学基金(10671127): 作品数：10被引量：11H指数：2; 导出分析报告; 相关作者：韩茂安徐建华江娇张同华胡召平更多>>; 相关机构：上海师范大学上海海事大学上海交通大学吉林铁道职业技术学院更多>>; 相关期刊：《上海师范大学学报（自然科学版中英文）》《河北大学学报（自然科学版）》《Science China Mathematics》《数学物理学报（A辑）》更多>>; 相关主题：BIFURCATIONLIMIT_CYCLESLIMIT_CYCLENEARSTABILITY更多>>; 相关领域：理学更多>>

二阶反周期边值问题Nagumo型存在性定理(英文)被引量：1: 《上海师范大学学报（自然科学版）》2010年第1期13-23,共11页王琼邢业朋; supported by Shanghai Normal University Leading Academic Discipline Project(DZL805);The National Natural Science Foundation of China(10671127);the National Natural Science Foundation of Shanghai(08ZR1416000); 讨论Nagumo型条件结合符号条件下二阶反周期边值问题的存在性问题,借助经典的不动点定理得到至少存在一个解的充分条件.; 关键词：二阶反周期 Nagumo型条件

巴拿赫空间中二阶微分方程的多点边值问题: 《河北大学学报（自然科学版）》2009年第6期574-576,共3页张红晔; 国家自然科学基金资助项目(10671127);教育部科学技术研究重点资助项目(207036); 利用Sadovskii不动点定理,研究巴拿赫空间中二阶微分方程的多点边值问题,得到了解存在的充分性判据.; 关键词：边值问题巴拿赫空间 Sadovskii不动点定理正解

PERIODIC BOUNDARY VALUE PROBLEM FOR NONLINEAR INTEGRO-DIFFERENTIAL EQUATION OF MIXED TYPE ON TIME SCALES: 《Annals of Differential Equations》2009年第2期195-207,共13页Valery G.Romanovski; supported by Shanghai Normal University Leading Academic Discipline Project DZL805;National Natural Science Foundation of China (10671127);National Natural Science Foundation of Shanghai (08ZR1416000), Ad futura scientific and educational foundation of the Republic of Slovenia, the Ministry of Higher Education, Science and Technology of the Republic of Slovenia, by the Nova Kreditna Banka Maribor and by TELEKOM Slovenije; We prove several new comparison results and develop the monotone iterative technique to show the existence of extremal solutions to a kind of periodic boundary value problem (PBVP) for nonlinear integro-differential e...; 关键词：time scales integro-differential equations periodic boundary value problem iterative method

具有无穷时滞中立型积分微分方程的周期解被引量：5: 《数学物理学报（A辑）》2008年第5期897-905,共9页江娇徐建华韩茂安; 国家自然科学基金(10671127)资助; 该文利用矩阵测度和Schauder不动点定理研究了具有无穷时滞Volterra型积分微分方程周期解的存在性、唯一性及一致稳定性,获得了一些判别准则,推广和改进了有关的结果.; 关键词：无穷时滞 VOLTERRA型积分微分方程中立型周期解

一类n次微分系统的全局分支被引量：1: 《上海师范大学学报（自然科学版）》2008年第4期362-368,共7页胡召平; 国家自然科学基金项目(10671127); 利用已有的关于Lienard系统极限环存在性和唯一、唯二性的诸多结论,结合旋转向量场理论,研究了n次微分系统x.=y,y.=-(hxn-1+δ)y-(xn-x)(h>0)当n为大于1的正整数时极限环的个数及其相互位置,并利用先前的结果作为特例,得到了相当完善的...; 关键词：LIENARD系统极限环旋转向量场

LIMIT CYCLES NEAR A DOUBLE HOMOCLINIC LOOP被引量：2: 《Annals of Differential Equations》2007年第4期536-545,共10页Yang Junmin Han Maoan (Dept.of Math.,Shanghai Normal University,Shanghai 200234); the National Natural Science Foundation of China (10671127); In this article, we study the expansion of the first order Melnikov function in a near-Hamiltonian system on the plane near a double homoclinic loop. We obtain an explicit formula to compute the first four coeffcients...; 关键词：double homoclinic loop limit cycle BIFURCATION polynomial system

LIMIT CYCLES OF A QUADRATIC HAMILTONIAN SYSTEM BY CUBIC PERTURBATIONS: 《Annals of Differential Equations》2007年第4期593-602,共10页Zhao Yong Han Maoan Yang Junmin; the National Natural Science Foundation of China under Grant (No.10671127);by Shanghai Shuguang Genzong Project(04SGG05); In this paper, we are concerned with a cubic near-Hamiltonian system, whose unperturbed system is quadratic and has a symmetric homoclinic loop. By using the method developed in [12], we find that the system can have ...; 关键词：limit cycles homoclinic loop near-Hamiltonian systems cubic perturbations Melnikov method

On the limit cycles of a quintic planar vector field: 《Science China Mathematics》2007年第7期925-940,共16页Yu-hai WU Li-xin TIAN Mao-an HAN; Supported by the Fund of Youth of Jiangsu University(Grant No.05JDG011);the National Natural Science Foundation of China(Nos.90610031,10671127);the Outstanding Personnel Program in Six Fields of Jiangsu Province(Grant No.6-A-029);Shanghai Shuguang Genzong Project(Grant No.04SGG05); This paper concerns the number and distributions of limit cycles in a Z 2-equivariant quintic planar vector field. 25 limit cycles are found in this special planar polynomial system and four different configurations o...; 关键词：double homoclinic loop Melnikov function STABILITY BIFURCATION limit cycles CONFIGURATION 34C07 34C23 34C37 37G15

Bifurcation of limit cycles near equivariant compound cycles被引量：1: 《Science China Mathematics》2007年第4期503-514,共12页Mao-an HAN Tong-hua ZHANG Hong ZANG; The work was supported by the National Natural Science Foundation of China (Grant No. 10671127);Program for New Century Excellent Talents in University (Grant No. NCET-04-0388); In this paper we study some equivariant systems on the plane. We first give some criteria for the outer or inner stability of compound cycles of these systems. Then we investigate the number of limit cycles which appe...; 关键词：equivariant system STABILITY BIFURCATION limit cycle 34C05 34G10 58F11

等变系统复眼环的极限环分支被引量：1: 《中国科学（A辑）》2006年第11期1267-1278,共12页韩茂安张同华臧红; 上海市教委曙光跟踪项目;国家自然科学基金(批准号:10671127)资助项目; 研究一类平面等变系统的复眼环附近的极限环分支问题．首先给出了复眼环的内侧和外侧稳定性的判定量,然后研究了等变Hamilton系统的复眼环在等变小扰动下的分支问题．作为定理的应用,文章的最后讨论了一类Z_3等变系统产生13个极限环的...; 关键词：极限环分支等变系统稳定性

国家自然科学基金(10671127)