On the dynamics of extendable polynomial endomorphisms
of $\mathbb{R}^{2}$
Annales Polonici Mathematici, Tome 90 (2007) no. 1, pp. 37-50
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 $\mathbb{C}\mathbb{P}^{2}$.
Keywords:
extend results obtained previous paper concerning quasiregular polynomials algebraic degree polynomial endomorphisms mathbb whose algebraic degree equal their topological degree other classes polynomial endomorphisms extendable mathbb mathbb
Affiliations des auteurs :
Ewa Ligocka  1
@article{10_4064_ap90_1_3,
author = {Ewa Ligocka},
title = {On the dynamics of extendable polynomial endomorphisms
of $\mathbb{R}^{2}$},
journal = {Annales Polonici Mathematici},
pages = {37--50},
year = {2007},
volume = {90},
number = {1},
doi = {10.4064/ap90-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap90-1-3/}
}
Ewa Ligocka. On the dynamics of extendable polynomial endomorphisms
of $\mathbb{R}^{2}$. Annales Polonici Mathematici, Tome 90 (2007) no. 1, pp. 37-50. doi: 10.4064/ap90-1-3
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