On the dynamics of extendable polynomial endomorphisms of $\mathbb{R}^{2}$
Volume 90 / 2007
Annales Polonici Mathematici 90 (2007), 37-50
MSC: Primary 30D50, 32H50, 32H02, 37F45;
Secondary 30C10, 30C99, 30F99, 32D15.
DOI: 10.4064/ap90-1-3
Abstract
We extend the results obtained in our previous paper, concerning quasiregular polynomials of algebraic degree two, to the case of polynomial endomorphisms of $\mathbb{R}^{2}$ whose algebraic degree is equal to their topological degree. We also deal with some other classes of polynomial endomorphisms extendable to $\mathbb{C}\mathbb{P}^{2}$.
