Resum
We study in C n+1 the polynomial vector fields X = n +1 ∑ i=1 Pi(x1, . . . , xn+1) ∂/ ∂xi with n ≥ 1 . Let mi be the degree of the polynomial Pi . We call (m1, . . . , mn+1) the degree of X . For these polynomial vector fields X and in function of their degree we provide upper bounds, first for the maximal number of invariant n-dimensional spheres, and second for the maximal number of n- dimensional concentric invariant spheres.
Idioma original | Anglès |
---|---|
Pàgines (de-a) | 0173-182 |
Nombre de pàgines | 10 |
Revista | Journal of Applied Analysis and Computation |
Volum | 1 |
Número | 2 |
Estat de la publicació | Publicada - 2011 |