New Double Bifurcation of Nilpotent Focus

2021/03/30 by Feng Li, Hongwei Li, Yuanyuan Liu
Mathematics · Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Microtubule and mitosis dynamics #Quantum chaos and dynamical systems

paper · doi:10.1142/s021812742150053x

Abstract

In this paper, a new bifurcation phenomenon of nilpotent singular point is analyzed. A nilpotent focus or center of the planar systems with 3-multiplicity can be broken into two complex singular points and a second order elementary weak focus. Then, two more limit cycles enclosing the second order elementary weak focus can bifurcate through the multiple Hopf bifurcation.

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