Hopf bifurcation and uniqueness of limit cycle for a class of quartic system

Applied Mathematics

Volumn 22, Issue 4, 2007, Pages 388-392

  Zhan, Qingyi ^a   Xie, Xiangdong ^b   Wu, Chengqiang ^c   Qiu, Shulin ^d  

^a FUJIAN AGRICULTURE AND FORESTRY UNIVERSITY   (China)

^b NINGDE NORMAL UNIVERSITY   (China)

^c FUZHOU UNIVERSITY   (China)

^d Gannan Normal College   (China)

Author keywords

Accompanying system; Bifurcation; Limit cycle; Uniqueness

Indexed keywords

EID: 37249022870     PISSN: 10051031     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11766-007-0402-3     Document Type: Article

References (7)

1. Xie Xiangdong, Zhang Jianfeng. Planar polynomial system and it's accompanying system, J Math Study, 2004, 37(2): 161-166.
2. Xie Xiangdong, Chen Fengde. The bifurcation of limit cycle for a class of cubic system with two imaginary invariant lines, J Math Acta Scientia, 2005, 25A(4): 538-545.
3. Xie Xiangdong, Chen Fengde. The number and bifurcation of limit cycles for a class of cubic system, J Sys Sci Math Sci, 2005, 25(4): 414-422.
4. Ye Yanqian. Theory of Limit Cycle, Shanghai: Shanghai Scientific and Technical Publisher, 1984.
5. Yang Xin'an. Qualitative Theory of Dynamical Systems, Hong Kong: Cheung Shing, 2004.
6. Ye Yanqian. Qualitative Theory of Polynomial Differential Systems, Shanghai: Shanghai Scientific and Technical Publisher, 1995.
7. Zhang Zhifen, Ding Tongren, Huang Wenzao, et al. Qualitative Theory of Differential Equation, Beijing: Science Press, 1985.