International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605
Volume 4, Issue 3, 2013 pp 61-64
Some Aspects of Dynamical Behavior in a One Dimensional Non Linear Chaotic Map
T. K. Dutta1, A. Kr. Jain2, D. Bhattacharjee3
1Professor, Department of Mathematics, Gauhati University, Guwahati ,Assam, Pin code- 781014, INDIA.
2Assistant Professor, Department of Mathematics, Barama College,Barama, Assam, Pincode-781346,INDIA.
3Assistant Professor, Department of Mathematics, B. Borooah College, Guwahati, Assam, Pin code-781007, INDIA.
Academic Editor: Dr. Dase R.K.
In this paper we consider an inverse non linear algebraic ecological model with μ as control parameter and a,b are taken as constants. Here we create a suitable C-programming and use Mathematica software to study period doubling route to chaos. Also to find out an universal route from order to chaos through period doubling bifurcations we set up proper numerical methods to get periodic points and bifurcation points of different period 2n, where n=0,1,2,3,4,5…..and we successively achieve Feigenbaum Universal Constant(δ)=4.66920161029… with the help of bifurcation points calculated numerically. It is also seen that chaotic region takes place beyond accumulation point. We also confirm about chaotic region by getting positive Lyapunov Exponent at some parametric values.