<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The intent of this paper is to study the fractal patterns of one dimensional complex logistic map by finding the optimum values of the control parameter using Ishikawa iterative scheme. The logistic map is shown to have bounded and stable behaviour for larger values of the control parameter. This is well depicted via time series analysis and interesting fractal patterns as well are presented</p></abstract>

The intent of this paper is to study the fractal patterns of one dimensional complex logistic map by finding the optimum values of the control parameter using Ishikawa iterative scheme. The logistic map is shown to have bounded and stable behaviour for larger values of the control parameter. This is well depicted via time series analysis and interesting fractal patterns as well are presented

Stability and Fractal Patterns of Complex Logistic Map

Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector-62, Noida, UP-201307 India

Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector-62, Noida, UP-201307 INDIA

Cybernetics and Information Technologies

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Stability and Fractal Patterns of Complex Logistic Map"}

The intent of this paper is to study the fractal patterns of one dimensional complex logistic map by finding the optimum values of the control parameter using...

Stability and Fractal Patterns of Complex Logistic Map

Published Online: Nov 05, 2014

Page range: 14 - 24

DOI: https://doi.org/10.2478/cait-2014-0029

© by Bhagwati Prasad

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.