Zero-Hopf bifurcation in the generalized Michelson system

Jaume Llibre and Amar Makhlouf

Chaos, Solitons & Fractals, 2016, vol. 89, issue C, 228-231

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.

Keywords: Periodic solution; Averaging theory; Zero–Hopf Bifurcation; Michelson system; Triple-zero bifurcation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:89:y:2016:i:c:p:228-231

DOI: 10.1016/j.chaos.2015.11.013

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