Volume 4, Issue 3, September 2018, Page: 84-90
Observation of Different Behaviors of Logistic Map for Different Control Parameters
Musammet Tahmina Akter, Department of Mathematics, Chittagong University of Engineering & Technology, Chittagong, Bangladesh
Mohammad Abul Mansur Chowdhury, Jamal Nazrul Islam Research Center for Mathematical and Physical Sciences, University of Chittagong, Chittagong, Bangladesh
Received: Oct. 3, 2018;       Accepted: Nov. 8, 2018;       Published: Dec. 4, 2018
DOI: 10.11648/j.ijamtp.20180403.14      View  14      Downloads  13
Abstract
The logistic map is one of the most important but common examples of chaotic dynamics. The object shows the crucial belief of the deterministic chaos theory that brings a new procedural structure and apparatus for exploring and understanding complex behavior in dynamical systems. We put an importance on report of the Verhulst logistic map which is one of the potential models and methods for researching dynamical systems that could develop to chaotic. Chaotic signals present a special difficulty in parameter estimation. The difficulty arises from the definition of a chaotic system because of sensitive dependence on initial conditions. It is seen that very slight changes in the initial conditions cause significant effects in the evolution. In general the chaotic systems are nonlinear and apparently random but they are deterministic. The main objective of this paper is how can find the logistic map equation and investigated the chaotic behavior for the logistic equation by varying the control parameters and finally discover Lyaponov exponent, Bifurcation diagrams etc.
Keywords
Logistic Map, Chaos, Lyapunov Exponent, Bifurcation, Cobweb, Attractor
To cite this article
Musammet Tahmina Akter, Mohammad Abul Mansur Chowdhury, Observation of Different Behaviors of Logistic Map for Different Control Parameters, International Journal of Applied Mathematics and Theoretical Physics. Vol. 4, No. 3, 2018, pp. 84-90. doi: 10.11648/j.ijamtp.20180403.14
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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