Dynamics of polynomial maps on {${\bf C}\sp 2$} whose all unbounded orbits converge to one point
Dynamics of polynomial maps on {${\bf C}\sp 2$} whose all unbounded orbits converge to one point
In this paper, we study a family of iteration of polynomial map on the 2-dimensional complex Euclidean space {${\bf C}\sp 2$} whose all unbounded orbits converge to one point of the line at infinity in the 2-dimensional complex projective space {${\bf P}\sp 2$}. In particular, we show some sufficient condition …