Regular nonlinear dynamics of a piecewise map
Abstract
A discrete time dynamical systems represented by the iteration of nonlinear piecewise functions is introduced in this paper. The dynamical behaviors, multiple basins with fractal boundary, attractors, route to chaos via bifurcations are investigated. Moreover, we point out an fascinating form of complex basin structure in the presence of multistability and coexistence of several attractors.
Copyright © 2012 I. Djellit, I. Boukemara, M.R. Ferchichi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
I. Djellit, I. Boukemara, M. R. Ferchichi, Regular nonlinear dynamics of a piecewise map, J. Math. Comput. Sci. 2 (2012), 1241–1256.
BibTeX
@article{Djellit2012,
author = {Djellit, I. and Boukemara, I. and Ferchichi, M.R.},
title = {Regular nonlinear dynamics of a piecewise map},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {1241--1256},
doi = {}
}