On the dynamics of extendable polynomial endomorphisms of ℝ²

• Autorzy: Ewa Ligocka
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37F45: Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations
• 30F99: None of the above, but in this section
• 30C99: None of the above, but in this section
• 32H50: Iteration problems
• 32D15: Continuation of analytic objects
• 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions
• 30C10: Polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 90
• Numer: 1
• Strony: 37-50

Daty

wydano

2007

Twórcy

autor

Ewa Ligocka

• Institute of Mathematics, Department of Mathematics, Computer Science and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/ap90-1-3