Article ID Journal Published Year Pages File Type
1895395 Chaos, Solitons & Fractals 2016 4 Pages PDF
Abstract

We provide sufficient conditions for the existence of two periodic solutions bifurcating from a zero–Hopf equilibrium for the differential system x˙=y,y˙=z,z˙=a+by+cz−x2/2,where a, b and c are real arbitrary parameters. The regular perturbation of this differential system provides the normal form of the so–called triple–zero bifurcation.

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Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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Zero-Hopf bifurcation in the generalized Michelson system
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