On the dynamics of extendable polynomial endomorphisms of ℝ²

Ewa Ligocka

Annales Polonici Mathematici (2007)

  • Volume: 90, Issue: 1, page 37-50
  • ISSN: 0066-2216

Abstract

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We extend the results obtained in our previous paper, concerning quasiregular polynomials of algebraic degree two, to the case of polynomial endomorphisms of ℝ² whose algebraic degree is equal to their topological degree. We also deal with some other classes of polynomial endomorphisms extendable to ℂℙ².

How to cite

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Ewa Ligocka. "On the dynamics of extendable polynomial endomorphisms of ℝ²." Annales Polonici Mathematici 90.1 (2007): 37-50. <http://eudml.org/doc/281043>.

@article{EwaLigocka2007,
abstract = {We extend the results obtained in our previous paper, concerning quasiregular polynomials of algebraic degree two, to the case of polynomial endomorphisms of ℝ² whose algebraic degree is equal to their topological degree. We also deal with some other classes of polynomial endomorphisms extendable to ℂℙ².},
author = {Ewa Ligocka},
journal = {Annales Polonici Mathematici},
keywords = {quasiregular mapping},
language = {eng},
number = {1},
pages = {37-50},
title = {On the dynamics of extendable polynomial endomorphisms of ℝ²},
url = {http://eudml.org/doc/281043},
volume = {90},
year = {2007},
}

TY - JOUR
AU - Ewa Ligocka
TI - On the dynamics of extendable polynomial endomorphisms of ℝ²
JO - Annales Polonici Mathematici
PY - 2007
VL - 90
IS - 1
SP - 37
EP - 50
AB - We extend the results obtained in our previous paper, concerning quasiregular polynomials of algebraic degree two, to the case of polynomial endomorphisms of ℝ² whose algebraic degree is equal to their topological degree. We also deal with some other classes of polynomial endomorphisms extendable to ℂℙ².
LA - eng
KW - quasiregular mapping
UR - http://eudml.org/doc/281043
ER -

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