n维Goodwin模型的全局Hopf分支  

Global Hopf Bifurcation Analysis on an N-dimensional Goodwin Model

作　　者：曾小彩 熊佐亮[2] ZENG Xiaocai;XIONG Zuoliang(School of Mathematics and Information Technology,Jiangxi Teachers College,Yingtan 335000,China;Department of Math,Nanchang University,Nangchang 330000,China)

机构地区：[1]江西师范高等专科学校数信学院,江西鹰潭335000 [2]南昌大学理学院,南昌330000

出　　处：《赣南师范大学学报》2020年第3期8-12,共5页Journal of Gannan Normal University

基　　金：江西省教育厅科学技术研究项目(171225)。

摘　　要：本文研究n维Goodwin模型的稳定性及局部Hopf分支,并利用吴建宏等人建立的一般泛函微分方程的全局Hopf分支定理,研究该模型以时滞τ为参数的全局Hopf分支的存在性,最后给出数值模拟.In this paper,the stability and local Hopf bifurcation of the n-dimensional Goodwin model are studied,and the existence of the global Hopf branch of the model with time-delay tau as the parameter is studied by using the global Hopf branching theorem of the general functional differential equations established by Wu Jianhong,Last,numerical simulation is carried out.

关 键 词：Goodwin模型 全局HOPF分支 多时滞 

分 类 号：O175.7[理学—数学]