Open AccessA new 3-D chaotic system with four quadratic nonlinear terms, its global chaos control via passive control method and circuit design
Author(s) -
ChangHua Lien,
Sundarapandian Vaidyanathan,
Aceng Sambas,
Sivaperumal Sampath,
Sukono Sukono,
Mustafa Mamat
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/621/1/012013
Subject(s) - chaotic , lyapunov exponent , control theory (sociology) , synchronization of chaos , nonlinear system , control of chaos , quadratic equation , computer science , dimension (graph theory) , matlab , mathematics , control (management) , physics , artificial intelligence , geometry , quantum mechanics , pure mathematics , operating system
This paper reports the finding of a new three-dimensional chaotic system with four quadratic nonlinear terms. The paper starts with a detailed dynamic analysis of the properties of the system such as phase plots, Lyapunov exponents, Kaplan-Yorke dimension and equilibrium points. Our new chaotic system is obtained by modifying the dynamics of the Zhu chaotic system (2010), and it has complex chaotic properties. As an engineering application, passive control method is applied for the global chaos control of the new chaotic system. Finally, an electronic circuit implementation of the new chaotic system is designed and implemented in MultiSIM. A good qualitative agreement has been shown between the MATLAB simulations of the new chaotic system and the MultiSIM results.