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18 p, 697.9 KB Center conditions for a class of planar rigid polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Rabanal, Roland (Pontificia Universidad Católica del Perú. Departamento de Ciencias)
In general the center-focus 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 differential systems of the form x = −y + xf (x)g(y), y = x + yf (x)g(y), where f (x) and g(y) are arbitrary polynomials. [...]
2015 - 10.3934/dcds.2015.35.1075
Discrete and continuous dynamical systems. Series A, Vol. 35 Núm. 3 (2015) , p. 1075-1090  

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