A higher-dimensional generalization of the Lozi map: Bifurcations and dynamics

Shakir Bilal; Ramakrishna Ramaswamy

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arXiv · 2005.01849

A higher-dimensional generalization of the Lozi map: Bifurcations and dynamics

Shakir Bilal·Ramakrishna Ramaswamy

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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.

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Shakir Bilal, Ramakrishna Ramaswamy. 2020-05-04. A higher-dimensional generalization of the Lozi map: Bifurcations and dynamics. https://arxiv.org/abs/2005.01849

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