4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory
by Amina Feddaoui; Jaume Llibre; Amar Makhlouf
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 4, 2020

Abstract: The averaging theory of second order shows that for polynomial differential systems in ℝ4 with cubic homogeneous nonlinearities at least nine limit cycles can be born in a zero-Hopf bifurcation.

Online publication date: Thu, 20-Aug-2020

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