Author(s)

P. E. Calderon-Saavedra¹, E. Munoz-Aguirre², J. Alvarez-Mena², S. Gomez-Perez²

¹Universidad del Tolima, Ibagué, Colombia.
²Universidad Veracruzana, Veracruz, Mexico.

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.

Lorenz Type Systems, Bifurcation Control, Hopf Bifurcation Control, Subcritical and Supercritical Hopf Bifurcation

Calderon-Saavedra, P. , Munoz-Aguirre, E. , Alvarez-Mena, J. and Gomez-Perez, S. (2018) Hopf Bifurcation Control in a Lorenz Type System. Journal of Applied Mathematics and Physics, 6, 1704-1719. doi: 10.4236/jamp.2018.68146.