On the dynamics of extendable polynomial endomorphisms
of $\mathbb{R}^{2}$
Annales Polonici Mathematici, Tome 90 (2007) no. 1, pp. 37-50
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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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