TY - JOUR

T1 - Classification of centers, their cyclicity and isochronicity for a class of polynomial differential systems of degree d ≥ 7 odd

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2010/12/1

Y1 - 2010/12/1

N2 - In this paper we classify the centers, the cyclicity of its Hopf bifurcation and the isochronicity of the polynomial differential systems in ℝ2 of degree d ≥ 7 odd that in complex notation z = x + iy can be written as Ż = (λ + i)z + (zž)d-7/2 (Az6Z̄ + Bz4z̄3 + Cz 2Z̄5 + Dz̄7), where λ ∈ ℝ, and A, B, C, D ∈ C.

AB - In this paper we classify the centers, the cyclicity of its Hopf bifurcation and the isochronicity of the polynomial differential systems in ℝ2 of degree d ≥ 7 odd that in complex notation z = x + iy can be written as Ż = (λ + i)z + (zž)d-7/2 (Az6Z̄ + Bz4z̄3 + Cz 2Z̄5 + Dz̄7), where λ ∈ ℝ, and A, B, C, D ∈ C.

M3 - Article

VL - 17

SP - 859

EP - 873

JO - Bulletin of the Belgian Mathematical Society - Simon Stevin

JF - Bulletin of the Belgian Mathematical Society - Simon Stevin

SN - 1370-1444

IS - 5 SUPPL.

ER -