期刊文献+

HOMOCLINIC BIFURCATION IN SEMI-CONTINUOUS DYNAMIC SYSTEMS 被引量:3

HOMOCLINIC BIFURCATION IN SEMI-CONTINUOUS DYNAMIC SYSTEMS
原文传递
导出
摘要 In this paper, a class of homoclinic bifurcations in semi-continuous dynamic systems are investigated. On the basis of rotated vector fields theory, existence of order-1 periodic solution and the rotated vector fields of the semi-continuous dynamic system are discussed. Furthermore, homoclinic cycles and homoclinic bifurcations are described. Finally, an example is provided to show the validity of our theoretical results.
出处 《International Journal of Biomathematics》 2012年第6期183-201,共19页 生物数学学报(英文版)
关键词 Rotated vector fields homoclinic cycle homoclinic bifurcation order-1 cycle semi-continuous. 连续动力系统 同宿分支 同宿分岔 旋转向量 场理论 周期解 半连续 矢量场
  • 相关文献

参考文献17

  • 1D. D. Bainov and V. C. Covachev, Impulsive Differential Equations with a Small Parameter (World Scientific, Singapore, 1994).
  • 2D. D. Bainov and P. S. Simeonov, Impulsive Differential Equations: Asymptotic Prop- erties of the Solutions (World Scientific, Singapore, 1993).
  • 3E. M. Bonotto, Flows of characteristic 0+ in impulsive semidynamicM systems, J. Math. Anal. Appl. 332 (2007) 81-96.
  • 4L. Chen, Pest control and geometric theory of semi-dynamical systems, or. Beihua Univ. (Natural Sci.) 12 (2011) 1-9.
  • 5M. A. Han, S. C. Hu and X. B. Liu, On the stability of double homoclinic and heteroclinic cycles, Nonlinear Anal. 53 (2003) 701- 713.
  • 6G. Jiang, Q. Lu and L. Qian, Complex dynamics of a Holling type II prey-predator system with state feedback control, Chaos, Solitons, Fractals 31 (2007) 448-461.
  • 7V. Lakshmikantham, D. D. Bainov and P. S. Simeonov, Theory of Impulsive Differ- ential Equations (World Scientific, Singapore, 1989).
  • 8L. Nie, J. Peng, Z. Teng and L. Hu, Existence and stability of periodic solution of a Lotka-Volterra predator-prey model with state-dependent impulsive effects, J. Com- put. Appl. Math. 224 (2009) 544-555.
  • 9P. S. Simenov and D. D. Buinov, Orbital stability of the periodic solutions of autonomous systems with impulse effect, Int. J. Syst. Sci. 19 (1988) 2561-2585.
  • 10L. Sun and L. Chen, Permanence and complexity of the eco-epidemiological model with impulsive perturbation, Int. J. Biomath. 1 (2008) 121-132.

同被引文献2

引证文献3

二级引证文献12

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