INITIAL VALUE SEARCHING TECHNIQUE TO OBTAIN NUMERICALLY THE BIFURCATION PARAMETER AS WELL AS PERIODIC POINTS IN ONE DIMENSIONAL DISCRETE DYNAMICAL SYSTEM

Abstract

In this paper we apply a suitable and efficient numerical  technique to obtain the periodic solutions arising in period doubling scenario of one dimensional discrete dynamical system. Applying this technique we obtain  bifurcation points upto period  with good accuracy which is a satisfactory result to predict accumulation point and which is verified by Lyapunov exponent.