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

Autor:	Shakir Bilal, Ramakrishna Ramaswamy
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Nonlinear Sciences::Chaotic Dynamics Algebra and Number Theory Applied Mathematics FOS: Physical sciences Chaotic Dynamics (nlin.CD) Nonlinear Sciences - Chaotic Dynamics Analysis
Popis:	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. 6 pages, 6 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::059e5ffdff8bc31bc74b487ef221e16c http://arxiv.org/abs/2005.01849 Zobrazit plný text záznamu