Filled Julia set of some class of Hénon-like maps

In this work we consider a class of endomorphisms of R2 defined by f(x,y)=(xy+c,x), where c∈R is a real number and we prove that when −1<c<0, the forward filled Julia set of f is the union of stable manifolds of fixed and 3−periodic points of f. We also prove that the backward filled Julia set of f is the union of unstable manifolds of the saddle fixed and 3−periodic points of f.