A higher-dimensional generalization of the Lozi map: Bifurcations and dynamics
Chaotic Dynamics
2020-05-06 v1
Abstract
We generalize the two dimensional Lozi map in order to systematically obtain piece-wise continuous maps in three and higher dimensions. Similar to higher-dimensional generalizations of the related Henon map, these higher-dimensional Lozi maps support hyperchaotic dynamics. We carry out a bifurcation analysis and investigate the dynamics through both numerical and analytical means. The analysis is extended to a sequence of approximations that smooth the discontinuity in the Lozi map.
Cite
@article{arxiv.2005.01849,
title = {A higher-dimensional generalization of the Lozi map: Bifurcations and dynamics},
author = {Shakir Bilal and Ramakrishna Ramaswamy},
journal= {arXiv preprint arXiv:2005.01849},
year = {2020}
}
Comments
6 pages, 6 figures