Quadratic systems with a rational first integral of degree three: a complete classification in the coefficient space ℝ12

Author:

Artés Joan C.,Llibre Jaume,Vulpe Nicolae

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference26 articles.

1. Artés, J.C., Llibre, J., Vulpe, N.I.: Quadratic systemswith a rational first integral of degree 2: a complete classification in the coefficient space ℝ12, Rend. Circ. Mat. Palermo, 56 (2007), 417–444

2. Artés, J.C., Llibre, J., Vulpe, N.I.: Singular points of quadratic systems:A complete classification in the coefficient space ℝ12, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 18 (2008), 313–362

3. Artés, J.C., Llibre, J., Vulpe, N.I.: Quadratic systems with a polynomial first integral: a complete classification in the coefficient space ℝ12, J. Differential Equations, 246 (2009), 3535–3558

4. Baltag, V.: Algebraic equations with invariant coefficients in qualitative study of the polynomial homogeneous differential systems, Bull. Acad. Sci. Mold. Mat., 2003, no. 2, 31–46

5. Baltag, V. A., Vulpe, N. I.: Total multiplicity of all finite critical points of the polynomial differential system, Planar nonlinear dynamical systems (Delft, 1995), Differential Equations & Dynam. Systems, 5 (1997), 455–471

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