ALTERNATED JULIA SETS AND CONNECTIVITY PROPERTIES.

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. [ABSTRACT FROM AUTHOR]