Abstract
Here, we consider a one dimensionalnonlinear cubic map to find out a few inherent attributes i.e.fixed points, periodic points, bifurcation values of periods 2 � , � = 0,1,2,3,4 … … … … … . ...We use suitable numerical methods and have shown how the period doubling bifurcation points ultimately converge to the Feigenbaum constant. We have calculated Feigenbaumvalue also. We have further verified our findings with the help of bifurcation diagram, Lyapunavexponent, time series analysis of the map. Computer software package 'Mathematica' and 'C-program' are used prudentially to implement numerical algorithms for our purpose. Keywords: Fixed points, Periodic points, Bifurcation points, Feigenbaum constant, Lyapunov exponent, Time series.
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