Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: Hena Rani Biswas, Md. Al-Amin, Md. Monirul Islam Sumon and Fouzia Sharmin
Pages: [91] - [124]
Received Date: April 26, 2020; Revised June 2, 2020
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100122128
In this paper, we have discussed the general concepts of chaos theory in dynamical systems and main characteristics of chaos. We have described manipulating chaos, different definitions of chaos and their interrelationship in this study. In this work we have found that one dimensional maps with complicated dynamical behaviour. We have solved some problems of tent map and after solving those problems we observed that tent map is chaotic. We also discussed the bifurcation of one dimensional map and sketch bifurcation diagrams by using MATHEMATICA.
chaos theory, Lyapunov exponent, topological transitive.
