Analytic integrability of a class of nilpotent cubic systems

Author:

Chavarriga J.,Giné J.,Sorolla J.

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference8 articles.

1. Investigations of the behavior of the integral curves of a system of two differential equations in the neighbourhood of a singular point;Andreev;Transl. Am. Math. Soc.,1958

2. Local orbital forms of vector fields on a plane;Bogdanov;Trans. Petrovski Sem.,1979

3. Integrable systems in the plane with center type linear part;Chavarriga;Appl. Math. (Warsaw),1994

4. J. Chavarriga, J. Giné, Local integrability for nilpotent critical point, in: Dynamical Systems, Plasmas and Gravitation, Lecture Notes in Physics, Vol. 518, Springer, Berlin, 1999 (Orlans la Source, 1997).

5. Singularities of vector fields on the plane;Dumortier;J. Diff. Eqs.,1977

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2. Stability condition for nilpotent singularities by its complex separatrices;Mathematical Methods in the Applied Sciences;2024-05-15

3. Center conditions for nilpotent cubic systems using the Cherkas method;Mathematics and Computers in Simulation;2016-11

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5. A note on analytic integrability of planar vector fields;European Journal of Applied Mathematics;2012-04-23

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