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Centre Bifurcations of Periodic Orbits for some Special Three Dimensional Systems

Rzgar Haji Salih
Department of Mathematics, Faculty of Sceince and Health, Koya University

Abstract: This Seminar is about the bifurcated limit cycles from centre for a special three dimensional quadratic polynomial system and the L¨u system are studied. For a given centre, the cyclicity is bounded from below by considering the linear parts of the corresponding Liapunov quantities of the perturbed system. We show that five limit cycles and only one limit cycle can bifurcate from the centres for the three dimensional system and the L¨u system respectively.

Keywordscenter bifurcation, periodic orbits, L¨u system, Liapunov quantities

Date: 18/4/2017
Place: Hall1 Mathematics Dep.
Caroline Yousif Daniel,
Apr 23, 2017, 12:19 AM