数学杂志2022，Vol.42Issue(1)：63-72,10.
Mackey-Glass系统非标准有限差分方法的数值动力性
NUMERICAL DYNAMICS OF NONSTANDARD FINITE DIFFERENCE METHOD FOR MACKEY-GLASS SYSTEM
摘要
Abstract
This paper deals with the numerical dynamics for Mackey-Glass system.By using the nonstandard finite difference method and bifurcation theory of discrete systems,we prove that a series of Hopf bifurcation appear at the positive fixed point with the increase of time delay.At the same time,the parameter conditions for the existence of Hopf bifurcations at positive equilibrium point are given.Finally,we provide some numerical examples to illustrate the effectiveness of our results.The nonstandard finite difference method is easy to construct and has less computation.It is suitable for the bifurcation analysis of nonlinear systems and extends the results in the literature.关键词
非标准有限差分方法/Mackey-Glass系统/霍普夫分支/稳定性Key words
nonstandard finite difference method/Mackey-Glass system/Hopf bifurcation/stability分类
数理科学引用本文复制引用
姚洁怡,王琦..Mackey-Glass系统非标准有限差分方法的数值动力性[J].数学杂志,2022,42(1):63-72,10.基金项目
Supported by National Natural Science Foundation of China (11201084,61803095) and Natural Science Foundation of Guangdong Province (2017A030313031). （11201084,61803095）
