Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems
2009; Elsevier BV; Volume: 357; Issue: 2 Linguagem: Inglês
10.1016/j.jmaa.2009.04.036
ISSN1096-0813
Autores Tópico(s)Nonlinear Waves and Solitons
ResumoIn this paper we classify the centers, the cyclicity of their Hopf bifurcation and the isochronicity of the polynomial differential systems in R 2 of degree d that in complex notation z = x + i y can be written as z ˙ = ( λ + i ) z + ( z z ¯ ) d − 2 2 ( A z 2 + B z z ¯ + C z ¯ 2 ) , where d ⩾ 2 is an arbitrary even positive integer, λ ∈ R and A , B , C ∈ C . Note that if d = 2 we obtain the well-known class of quadratic polynomial differential systems which can have a center at the origin.
Referência(s)