TITLE:
Hopf Bifurcation Control in a Lorenz Type System
AUTHORS:
P. E. Calderon-Saavedra, E. Munoz-Aguirre, J. Alvarez-Mena, S. Gomez-Perez
KEYWORDS:
Lorenz Type Systems, Bifurcation Control, Hopf Bifurcation Control, Subcritical and Supercritical Hopf Bifurcation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.8,
August
28,
2018
ABSTRACT: 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.