ALTERNATED JULIA SETS AND CONNECTIVITY PROPERTIES

作者:Danca Marius F*; Romera M; Pastor G
来源:International Journal of Bifurcation and Chaos, 2009, 19(6): 2123-2129.
DOI:10.1142/S0218127409023962

摘要

In this work we present the alternated Julia sets, obtained by alternated iteration of two maps of the quadratic family z(n 1) - z(n)(2) c(i), i = 1, 2 and prove analytically and computationally that these sets can be connected, disconnected or totally disconnected verifying the known Fatou-Julia theorem in the case of polynomials of degree greater than two. Some examples are presented.

  • 出版日期2009-6