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Abstract
In general the centerfocus problem cannot be solved, but in the case that the singularity has purely imaginary eigenvalues there are algorithms to solving it. The present paper implements one of these algorithms for the polynomial dierential systems of the form x = y + x∫(x)g(y); y = x + y∫(x)g(y); where f(x) and g(y) are arbitrary polynomials. These dierential systems have constant angular speed and are also called rigid systems. More precisely, in this paper we give the center conditions for these systems, i.e. the necessary and sucient conditions in order that they have an uniform isochronous center. In particular, the existence of a focus with the highest order is also studied.
Original language  Spanish 

Pages (fromto)  10751090 
Number of pages  16 
Journal  Discrete and Continuous Dynamical Systems Series A 
Volume  35 
State  Published  1 Jan 2015 
Projects
 1 Finished

Estabilidad asintótica y estudio de órbitas periódicas vía la teoría del promedio
Rabanal Montoya, R. (PI), Fernandez Sanchez, P. B. (CoI), Rosas Bazan, R. J. (CoI), Mendoza Jimenez, J. (Other), Stephen Ronald, S. R. (Other) & Ysique Quesquen, A. (Other)
2/01/13 → 29/11/13
Project: Research