On the dynamics of the Tent function - Phase diagrams

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Prince Amponsah Kwabi
William Obeng Denteh
Richard Kena Boadi
Yao Elikem Ayekple

Abstract

This paper focuses on the study of a one-dimensional topological dynamical system, the tent function. We give a good background to the theory of dynamical systems while establishing the important asymptotic properties of topological dynamical systems that distinguishes it from other fields by way of an example - the tent function. A precise definition of the tent function is given and iterates are clearly shown using the phase diagrams. By this same method, chaos in the tent map is shown as iterates become higher. We also show that the tent map has infinitely many chaotic orbits and also express some important features of chaos such as topological transitivity, boundedness and sensitivity to change in initial conditions from a topological viewpoint.

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How to Cite
Kwabi, P. A. ., Denteh, W. O., Boadi, R. K. ., & Ayekple, Y. E. . (2022). On the dynamics of the Tent function - Phase diagrams. Journal of Advanced Studies in Topology, 7(4), 261–270. Retrieved from http://m-sciences.com/index.php/jast/article/view/211
Section
Research Articles