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Página principal > Artículos > Artículos publicados > On a class of polynomial differential systems of degree 4 : |
Fecha: | 2021 |
Resumen: | In this paper we characterize the phase portraits in the Poincaré disc of the class of polynomial differential systems of the form ẋ = −y, ẏ = x + ax4 + bx2 y2 + cy4, with a2 + b2 + c2 ≠ 0, which are symmetric with respect to the x-axis. Such systems have a center at the origin of coordinates. Moreover, using the averaging theory of five order, we study the number of limit cycles which can bifurcate from the period annulus of this center when it is perturbed inside the class of all polynomial differential systems of degree 4. |
Ayudas: | Agencia Estatal de Investigación MTM2016-77278-P Ministerio de Economía y Competitividad MDM-2014-0445 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 differential systems ; Polynomial vector fields ; Phase portraits ; Centers ; Limit cycles |
Publicado en: | Topological Methods in Nonlinear Analysis, Vol. 57, Issue 2 (June 2021) , p. 441-463, ISSN 1230-3429 |
Postprint 21 p, 806.2 KB |