Chaotic scenario in the Stenflo equations

A detailed analysis of the periodic and chaotic aspects of the coupled set of nonlinear equations deduced by Stenflo is done. It is observed that peri od doubling takes place with increase of one of the parameters in the equat ion. The Henon method is used to search for the periodic orbits,which is su pported by an analysis of the power spectrum. The chaotic region is exhibit ed with the help of a Poincare map, a power spectrum and its Lyapunov expon ent. From the values of the Lyapunov exponents the fractal dimension of the chaotic system is estimated.