摘要
考虑一类四阶有理型差分方程,清楚地描述了其解的环长规律,即一个周期的环长规律为:3+,4-,1+,1-,1+,2-,2+,1-;并得到方程的正平衡点是全局渐近稳定的.
In this paper a fourth - order rational difference equation is considered. The rule of the cycle length for the solutions of the equation is clearly described. Namely, the rule is 3^＋ ,4^- ,1^＋ ,1^- ,1 ^＋ ,2^- ,2^＋ ,1 ^- in a period. And, the global asymptotical stability of positive equilibrium point of the equation is obtained.
出处
《南华大学学报（自然科学版）》
2006年第4期1-4,76,共5页
Journal of University of South China：Science and Technology
基金
湖南省教育厅优秀青年资助项目(04B056)
南华大学重点资助项目(06Z02)
关键词
有理差分方程
半环
环长
全局渐近稳定
rational difference equation
semicycle
cycle length
global asymptotic stability
