Alternated Julia Sets and Connectivity Properties

نویسندگان

  • Marius-F. Danca
  • Miguel Romera
  • Gerardo Pastor Dégano
چکیده

In this paper we present the alternated Julia sets, obtained by alternated iteration of two maps of the quadratic family 2 1 , 1,2 n n i z z c i     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. A few examples are presented.

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عنوان ژورنال:
  • I. J. Bifurcation and Chaos

دوره 19  شماره 

صفحات  -

تاریخ انتشار 2009