期刊文献+

一类具有1∶-3共振奇点的复七次系统的可积性条件

Integrability conditions for a class of complex septic systems with a 1∶-3 resonant singular point
下载PDF
导出
摘要 对于一类具有1∶-3共振奇点的复七次系统,给出了系统可积的充要条件,并且通过构造积分因子或形式首次积分得以证明. For a class of complex polynomial differential systems with a p : -q resonant singular point, a method for computing generalized singular point values is introduced. For a class of complex septic systems with a 1 -3 resonant singular point,the necessary and sufficient conditions for integrability are obtained. All these conditions are verified by constructing integrating factors or formal first integrals.
作者 桑波
出处 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2015年第2期9-13,共5页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(11401285) 聊城大学实验技术研究基金资助项目(LDSY2014110)
关键词 1∶-3共振奇点 可积性 积分因子 广义奇点量 形式首次积分 l : - 3 resonant sigular point integrability integrating factor generalized singular point value formal first integral
  • 相关文献

参考文献13

  • 1SADOVSKII A P, SHCHEGLOVA T V. Solutions of the center focus problem for a nine-parameter cubic system[J]. Differential Equations,2011,47(2) :208-223.
  • 2ZOLADEK H. The problem of center for resonant singular points of polynomial vector fields[J]. Journal of differential equations, 1997,137(1) :94-118.
  • 3ROMANOVSKI V G,SHCHEGLOVA N L. The integrability conditions for two cubic vector fields[J]. Differential Equations, 2000,36(1) :108-112.
  • 4FERCEC B, GINE J, LIU Y R, et al. Integrability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities[J]. Acta Appl Math, 2013,124 ( 1 ) :107-122.
  • 5GINIE J, ROMANOVSKI V G. Integrability conditions for Lotka-Voherra planar complex quintic systems[J]. Nonlinear Analysis: Real World Applications,2010,11(3) :2100-2105.
  • 6FERCEC B, CHEN X W, ROMANOVSKI V G. Integrability conditions for complex systems with homogeneous quintie nonlinearities[J]. Journal of Applied Analysis and Computation, 2011,1 (1) : 9-20.
  • 7LIU C J,CHEN G T,CHEN G R. Integrability of Lotka-Volterra type systems of degree 4[J]. Journal of Mathematical Analysis and Applications, 2012, 388(2 ) :1107-1116.
  • 8GINE J, CHRISTOPHER C, PRESERN M, et al. The resonant center problem for a 2 -3 resonant cubic Lotka-Volterra system[C]. Maribor:CASC, 2012 : 129-142.
  • 9CHEN X W,GINE J,ROMANOVSKI V G, et al. The 1 - q resonant center problem for certain cubic Lotka-Volterra systems [J]. Applied Mathematics and Computation,2012,218(23):11620-11633.
  • 10HU Z P,ROMANOVSKI V G,SHAFER D S. 1 -3 resonant centers on C2 with homogeneous cubic nonlinearities[J]. Computers and Mathematics with Applications, 2008,56 (8) : 1927-1940.

共引文献10

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部