RANDOM ITERATIONS OF POLYNOMIALS OF FROM z(zd+cn): CONNECTEDNESS OF JULIA SETS

For a sequence (cn) of complex numbers, we consider the complex dynamics of polynomials fcn(z)=z(zd+cn), and the sequence (Fn) of interates Fn;=fcn . . . Fc1. The aim a this paper is to study the connectedness of the Julia set J(cn) provided that the sequence (cn) is bounded. We exend the Buger theprem [1,4] for quadratic polynomials, Pcn(z) = z2+cn, to the polynomials fcn(z)=z(zd=cn).

کلیدواژه ها:

connectedness ، polynomial dynamics ، random interations ، Julia set ، Fatou set