北华大学学报(自然科学版)Issue(6):716-719,4.DOI:10.11713/j.issn.1009-4822.2015.06.004
一类二阶有理型差分方程二周期解的局部稳定性
Local Stability of Two Period Solutions of Second Order Rational Difference Equation
摘要
Abstract
Using the stable manifold theorem,we study the local stability of two period solutions of second order rational difference equation xn+1=α+xn-1xn ,n=0,1,…,whereα=1 and the initial condition x-1 and x0 are arbitrary positive real numbers. The result proves that the minimum two periodic solutions are stable under some conditions.关键词
二阶差分方程/二周期解/局部渐近稳定性Key words
second order difference equation/two period solutions/local and asymptotical stability分类
数理科学引用本文复制引用
张丽春,蔡淑云,魏运财,杜忠复..一类二阶有理型差分方程二周期解的局部稳定性[J].北华大学学报(自然科学版),2015,(6):716-719,4.基金项目
吉林省教育厅科学技术研究项目(2011152) (2011152)
吉林省教育厅“十二五”规划课题(GH150078) (GH150078)