THE CYCLICITY OF CERTAIN GENERIC QUADRATIC HAMILTONIAN SYSTEMS

一类通有二次哈密顿系统的环性(英文)

导出

摘要 In this paper, we prove that the cycicity of period annulns (or annuli) of certain generic quadratic Hamiltonian systems under quadratic perturbations is two. Some methods and a part of results in this paper are new. In this paper, we prove that the cycicity of period annulns (or annuli) of certain generic quadratic Hamiltonian systems under quadratic perturbations is two. Some methods and a part of results in this paper are new.

作者张增华李承治

出处《Annals of Differential Equations》 2002年第1期81-95,共15页 微分方程年刊（英文版）

基金 Supported by NSFC and RFDP.

关键词 Hilbert-Arnold problem quadratic generic Hamiltonian system Abe- lian integral cycicity Hilbert-Arnold problem, quadratic generic Hamiltonian system, Abe- lian integral, cycicity

分类号 O175 [理学—基础数学]

引文网络
相关文献

参考文献2

1Lubomir Gavrilov. The infinitesimal 16th Hilbert problem in the quadratic case[J] 2001,Inventiones mathematicae(3):449～497
2R. Roussarie. On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields[J] 1986,Boletim da Sociedade Brasileira de Matemática(2):67～101

1俞岑源.几何分布的统计特征[J].浙江经济高等专科学校学报,1999,11(2):47-51.
2数学问题与解答 2012年第8期问题解答[J].数学教学,2012(10):45-47.
3杨璐,刘霞,邢业朋.一类非光滑Lienard系统的极限环研究[J].华东师范大学学报（自然科学版）,2011(3):44-53.
4吕桂霞,马富明.The Variable Coefficient ABE-I Method and Its Stability[J].Northeastern Mathematical Journal,2005,21(3):271-282.
5叶惟寅.THE VARIATION OF INVARIANT LINES AND LIMIT CYCLES FOR A QUADRATIC DIFFERENTIAL SYSTEM[J].Annals of Differential Equations,1998,14(2):286-293.
6Guang Shi LU Hai Wei SUN.Prime in Quadratic Progressions on Average[J].Acta Mathematica Sinica,English Series,2011,27(6):1187-1194. 被引量：1
7丰建文,陈士华.A CLASS OF QUADRATIC HAMILTONIAN SYSTEMS UNDER QUADRATIC PERTURBATION[J].Acta Mathematica Scientia,2001,21(2):249-253. 被引量：2
8章祥荪.MATHEMATICAL　ANALYSIS　OF　SOME　NEURAL　NETWORKS　FOR　SOLVING　LINEAR　AND　QUADRATIC　PROGRAMMING[J].Acta Mathematicae Applicatae Sinica,1996,12(1):1-10.
9毛用才,张高飞.几何分布的一个统计特征[J].数理统计与应用概率,1995,10(1):61-67. 被引量：5
10曹珍富,董晓蕾.Some New Results on Terai's Conjecture[J].Journal of Harbin Institute of Technology(New Series),1998,5(4):1-3.

Annals of Differential Equations

2002年第1期

浏览历史

内容加载中请稍等...

THE CYCLICITY OF CERTAIN GENERIC QUADRATIC HAMILTONIAN SYSTEMS

参考文献2

相关作者

相关机构

相关主题

浏览历史