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Página principal > Artículos > Artículos publicados > Phase portraits of uniform isochronous centers with homogeneous nonlinearities |
Fecha: | 2021 |
Resumen: | We classify the phase portraits in the Poincaré disc of the differential equations of the form x' = − y + xf(x, y), ẏ = x + yf(x, y) where f(x,y) is a homogeneous polynomial of degree n − 1 when n = 2, 3, 4, 5, and f has only simple zeroes. We also provide some general results on these uniform isochronous centers for all n ≥ 2. All our results have been revised by the program P4; see Chaps. 9 and 10 of Dumortier et al. (UniversiText, Springer-Verlag, New York, 2006). |
Ayudas: | Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911 |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Polynomial vector field ; Uniform isochronous center ; Phase portrait ; Poincaré disc |
Publicado en: | Journal of Dynamical and Control Systems, Vol. 28 (February 2021) , p. 319-332, ISSN 1573-8698 |
Postprint 13 p, 663.8 KB |