Open AccessA Novel Three Dimension Autonomous Chaotic System with a Quadratic Exponential Nonlinear Term
Author(s) -
Fei Yu,
Chunhua Wang
Publication year - 2012
Publication title -
engineering, technology and applied science research/engineering, technology and applied science research
Language(s) - English
Resource type - Journals
eISSN - 2241-4487
pISSN - 1792-8036
DOI - 10.48084/etasr.86
Subject(s) - attractor , exponential function , quadratic equation , term (time) , chaotic , dimension (graph theory) , nonlinear system , control theory (sociology) , compensation (psychology) , mathematics , computer science , mathematical analysis , physics , pure mathematics , artificial intelligence , geometry , psychology , control (management) , quantum mechanics , psychoanalysis
A novel three dimension autonomous (3D) chaotic system with a quadratic exponential nonlinear term and a quadratic cross-product term is described in this paper. The basic dynamical properties of the new attractor are studied. The forming mechanism of its compound structure, obtained by merging together two simple attractors after performing one mirror operation, has been investigated by detailed numerical as well as theoretical analysis. Finally, the exponential operation circuit and its temperature-compensation circuit, which makes the new system more applicable from a practical engineering perspective, are investigated.