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A model of two coupled demand-supply systems, depending on 4 parameters is considered. We found that the dynamical system associated with this model may have at most two symmetric and at most two nonsymmetric equilibria as the parameters vary. The topological type of equilibria is established and the locus in the parameter space of the values corresponding… (More)

- Mihail Popa, Adelina Ceorgescu, Carmen Rocşoreanu
- 2008

Some Lie algebra admissible for a generalized FitzHugh-Nagumo (F-N) system is constructed. Then this algebra is used to classify the dimension of the Aff3(2, R)-orbits and to derive the four canonical systems corresponding to orbits of dimension equal to 1 or 2. The phase dynamics generated by these systems is studied and is found to differ qualitatively… (More)

- Carmen Rocsoreanu, Nicolaie Giurgiteanu, Adelina Georgescu
- I. J. Bifurcation and Chaos
- 2001

By studying the two-dimensional FitzHugh–Nagumo (F–N) dynamical system, points of Bogdanov–Takens bifurcation were detected (Sec. 1). Two of the curves of homoclinic bifurcation emerging from these points intersect each other at a point of double breaking saddle connection bifurcation (Sec. 2). Numerical investigations of the bifurcation curves emerging… (More)

- Carmen Rocsoreanu, Mihaela Sterpu
- Analysis and Optimization of Differential Systems
- 2002

- Carmen Rocsoreanu, Mihaela Sterpu
- I. J. Bifurcation and Chaos
- 2017

The two-dimensional system of differential equations corresponding to the normal form of the double-zero bifurcation with symmetry of order two is considered. This is a codimension two bifurcation. The associated dynamical system exhibits, among others, a homoclinic bifurcation. In this paper, we obtain second order approximations both for the curve of… (More)

- Denis de Carvalho Braga, Luis Fernando Mello, Carmen Rocsoreanu, Mihaela Sterpu
- I. J. Bifurcation and Chaos
- 2011

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