节点文献
一类二阶差分方程的全局渐近稳定性
The Global Asymptotic Stability of a Class of Second Order Difference Equation
【摘要】 讨论了一类二阶非线性有理差分方程xn+1=xn/(a+xn-1)~2+β,n∈N的平衡点的全局渐近稳定性.并通过Matlab进行数值模拟后给出两个直观的例子.
【Abstract】 T his paper discusses the global asymptotic stability of the equilibrium point of the following second-order nonlinear rational difference equation xn+1=xn/(a+xn-1)~2+β,n∈N And it provides some examples and gives some numerical simulation by the Matlab software.
【关键词】 差分方程;
局部稳定性;
全局渐近稳定性;
Matlab数值模拟;
【Key words】 Difference equation; Local stability; Global asymptotic stability; Matlab numerical simulation;
【Key words】 Difference equation; Local stability; Global asymptotic stability; Matlab numerical simulation;
【基金】 甘肃省高等学校科研资助项目(2014A-110);河西学院校长基金(XZ2014-22)
- 【文献出处】 河西学院学报 ,Journal of Hexi University , 编辑部邮箱 ,2015年05期
- 【分类号】O175
- 【下载频次】77