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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 11, Issue 3, August 2014 pp 202-206

Research Article

Determination of various fractal dimensions in Logistic Map

H K Sarmah1, B K Bhattacharyya2, Anil Kr Jain3

1Professor, Department of Mathematics, Gauhati University, Guwahati , Assam, Pin code- 781014, INDIA.

2Assistant Professor, Department of Mathematics, L. C. Bharali College, Guwahati, Assam, Pincode-781011, INDIA.

3Assistant Professor, Department of Mathematics, Barama College, Barama, Assam, Pincode-781346, INDIA.

Academic Editor: Dr. Dase R. K.

Abstract

In this paper we consider the one dimensional chaotic Logistic map,  where 𝜇 is the control parameter and study various fractal dimensions like Box counting dimension (𝐷b ), Information dimension ( ) and Correlation dimension (𝐷c ) . We see that  as required.
 
 
 
 
 
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