Hopf Bifurcation Control in a Lorenz Type System

作     者：P. E. Calderon-Saavedra E. Munoz-Aguirre J. Alvarez-Mena S. Gomez-Perez 

作者机构：Universidad del Tolima Ibagué Colombia Universidad Veracruzana Veracruz Mexico 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2018年第6卷第8期

页      面：1704-1719页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Lorenz Type Systems Bifurcation Control Hopf Bifurcation Control Subcritical and Supercritical Hopf Bifurcation 

摘      要：In this paper Hopf bifurcation control is implemented in order to change the bifurcation from supercritical to subcritical in a differential equations system of Lorenz type. To achieve this purpose: first, a region of parameters is identified where the system has a supercritical Hopf bifurcation;second, a class of non-linear feedback control laws is proposed;finally, it is shown that there are control laws which the disturbed system undergoes subcritical Hopf bifurcation.