A Study of the Dynamics of a new Piecewise Smooth Map
Chaotic Dynamics
2020-02-17 v1
Abstract
In this article, we have studied a 1D map, which is formed by combining the two well-known maps i.e. the tent and the logistic maps in the unit interval i.e. [0, 1]. The proposed map can behave as the piecewise smooth or non-smooth maps (depending on the behaviour of the map just before and after the border) and then the dynamics of the map has been studied using analytical tools and numerical simulations. Characterization has been done by primarily studying the Lyapunov spectra and the corresponding bifurcation diagrams. Some peculiar dynamics of this map have been shown numerically. Finally, a Simulink implementation of the proposed map has been demonstrated.
Cite
@article{arxiv.1906.09399,
title = {A Study of the Dynamics of a new Piecewise Smooth Map},
author = {Dhrubajyoti Biswas and Soumyajit Seth and Mita Bor},
journal= {arXiv preprint arXiv:1906.09399},
year = {2020}
}
Comments
25 pages