Calderón-Saavedra, P.E., Munoz-Aguirre, E. and Alvarez-Mena, J. (2018) Tratamiento Analítico De La Bifurcación De Hopf En Una Extensión Del Sistema De Lü. Revista de Matem′atica: Teor′ia y Aplicaciones, 25, 29-40.
https://doi.org/10.15517/rmta.v1i25.32230

has been cited by the following article:

• 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.