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Guckenheimer, J. and Holmes, P. (1990) Nonlinear Oscillations Dynamical Systems and Bifurcations of Vectors Fields. Spriger-Verlag, Berlin.

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.