一类高阶有理差分方程解的全局吸引性  

Global Attractivity of Solution for A-class High-order Rational Difference Equation

作　　者：周敬人 王丽 全卫贞 黄日娣 Zhou Jingren;Wang Li;Quan Weizhen;Huang Ridi(Department of Mathematics,Zhanjiang Preschool Education College,Zhangjiang 524033,China)

机构地区：[1]湛江幼儿师范专科学校数学系,广东湛江524033

出　　处：《洛阳师范学院学报》2024年第5期6-8,64,共4页Journal of Luoyang Normal University

基　　金：湛江幼儿师范专科学校特色创新项目(ZY2022TSCX01);湛江市非资助科技攻关计划项目(2022B01198);广东省普通高校特色创新项目(2020KTSCX351)

摘　　要：为研究一类高阶有理差分方程的动力学性质,利用M&m定理方法来证明该类方程解的全局吸引性,给出了该类方程的正平衡解是全局吸引子的充分条件,并讨论一类高阶有理差分方程具备全局吸引性时参数p,q所满足的条件,最后通过数值计算作出图像验证结论的正确性.This research aims to exploring the kinetic property of a-class higher-order rational difference equation.The researchers use M&m theorem method to prove the global attractivity of the solution for the equation,and identify the sufficient conditions for the positive equilibrium solution as the global attractor of the equation,and discuss the conditions satisfied by the parameters p and q when a-class high-order rational difference equation presenting global attractivity.Finally,the researchers verify the correctness of the conclusion with images by numerical calculation.

关 键 词：有理差分方程 动力学定理 平衡解 全局吸引子 

分 类 号：O175.12[理学—数学]