Mircea Craioveanu, G. Tigan, “Hopf bifurcations analysis of a three-dimensional nonlinear syste”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2008, Number 3,Pages <nobr>57

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Research articles

Hopf bifurcations analysis of a three-dimensional nonlinear syste

Mircea Craioveanu^a, G. Tigan^b

^a West University of Timisoara, Department of Mathematics, Timisoara, Timis, Romania
^b Politehnica University of Timisoara, Department of Mathematics, Timisoara, Timis, Romania

Abstract: Bifurcations analysis of a $3D$ nonlinear chaotic system, called the $T$ system, is treated in this paper, extending the work presented in [5] and [6]. The system $T$ belongs to a class of cvasi-metriplectic systems having the same Poisson tensor and the same Casimir.

Keywords and phrases: Stability, Hopf bifurcations, Lorenz systems.

MSC: 34D20, 37L10, 37G10

Received: 23.06.2007

Language: English