Open AccessA Hyperchaotic System with Three Quadratic Nonlinearities, its Dynamical Analysis and Circuit Realization
Author(s) -
ChangHua Lien,
Sundarapandian Vaidyanathan,
S. Zhang,
Aceng Sambas,
- Mujiarto,
. Subiyanto
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1179/1/012085
Subject(s) - lyapunov exponent , phase portrait , realization (probability) , quadratic equation , dimension (graph theory) , control theory (sociology) , bifurcation , bifurcation diagram , mathematics , lyapunov function , dynamical systems theory , computer science , chaotic , nonlinear system , physics , pure mathematics , quantum mechanics , artificial intelligence , statistics , geometry , control (management)
A new four-dimensional hyperchaotic system with three quadratic nonlinearities is proposed in this paper. The dynamical properties of the new hyperchaotic system are explored in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, dissipativity, etc. Also, a detailed dynamical analysis of the new hyperchaotic system has been carried out with bifurcation diagram and Lyapunov exponents. As an engineering application, an electronic circuit realization of the new hyperchaotic system is designed via MultiSIM to confirm the feasibility of the theoretical hyperchaotic model.