A Unified Piecewise Smooth Chaotic Mapping that Contains the Hénon and the Lozi Systems

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ID: 69723
2012
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Ranked #1 of 2 articles by views in annual review of chaos theory, bifurcations and dynamical systems

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Abstract
In this paper we introduce a new piecewise smooth mapping of the plane as a unified discrete-time chaotic system that contains the original H´enon and Lozi systems as two extremes and other systems as a transition in between and that has robust homoclinic chaos over a portion of its key system parameters. Dynamical behaviors of the unified system are investigated in some detail.
Reference Key
zeraoulia2012aannual Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Zeraoulia, Elhadj;Sprott, J. C.;
Journal annual review of chaos theory, bifurcations and dynamical systems
Year 2012
DOI
DOI not found
URL
http://arctbds.com/Volume1/4-A%20unified%20chaotic%20mapping.pdf
Keywords
Engineering (General). Civil engineering (General) physics neurosciences. biological psychiatry. neuropsychiatry mathematics nuclear and particle physics. atomic energy. radioactivity astrophysics

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