International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605
Volume 8, Issue 2, December 2013 pp 71-75
A Few Inherent Attributes of One Dimensional Nonlinear Map
Tarini Kr. Dutta1, Jayanta Kr. Das2, Anil Kr. Jain3
1Professor, Department of Mathematics, Guwahati University, Guwahati, Assam - 781014 INDIA.
2Assistant Professor, Department of Mathematics, K.C. Das Commerce College, Guwahati, Assam - 781008, INDIA.
3Assistant Professor, Department of Mathematics, Barama College, Barama, Assam - 781346, INDIA.
Academic Editor: Dr. Dase R.K.
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.We use suitable numerical methods and have shown how the period doubling bifurcation points ultimately converge to the Feigenbaum constant. We have calculated Feigenbaum value 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.