A Novel Three Dimension Autonomous Chaotic System with a Quadratic Exponential Nonlinear Term | Zendy

Fei Yu | Zendy; Chunhua Wang | Zendy

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A 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

Language(s) - English

Resource type - Journals

eISSN - 2241-4487

pISSN - 1792-8036

DOI - 10.48084/etasr.86

Subject(s) - attractor , quadratic equation , exponential function , term (time) , nonlinear system , chaotic , dimension (graph theory) , control theory (sociology) , compensation (psychology) , mathematics , simple (philosophy) , computer science , mathematical analysis , pure mathematics , physics , artificial intelligence , geometry , psychology , control (management) , quantum mechanics , psychoanalysis , philosophy , epistemology

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.

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