An eight-term novel four-scroll chaotic system with cubic nonlinearity and its circuit simulation

被引：1

作者：

Sampath, S. ^{[1
]}

Vaidyanathan, S. ^{[2
]}

Volos, Ch. K. ^{[3
]}

Pham, V.-T. ^{[4
]}

机构：

[1] School of Electrical Engineering, Vel Tech University, Avadi, Chennai, Tamil Nadu,600062, India

[2] Research and Development Centre, Vel Tech University, Avadi, Chennai, Tamil Nadu,600062, India

[3] Department of Physics, Aristotle University of Thessaloniki, Thessaloniki,GR-54124, Greece

[4] School of Electronics and Telecommunications, Hanoi University of Science and Technology, Hanoi, Viet Nam

来源：

Journal of Engineering Science and Technology Review | 2015年 / 8卷 / 02期

关键词：

Chaotic systems;

D O I：

10.25103/jestr.082.01

中图分类号：

学科分类号：

摘要：

This research work proposes an eight-term novel four-scroll chaotic system with cubic nonlinearity and analyses its fundamental properties such as dissipativity, equilibria, symmetry and invariance, Lyapunov exponents and Kaplan- Yorke dimension. The phase portraits of the novel chaotic system, which are obtained in this work by using MATLAB, depict the four-scroll attractor of the system. For the parameter values and initial conditions chosen in this work, the Lyapunov exponents of the novel four-scroll chaotic system are obtained as L1 = 0.75335, L2 = 0 and L3 = -22.43304. Also, the Kaplan-Yorke dimension of the novel four-scroll chaotic system is obtained as DKY = 2.0336. Finally, an electronic circuit realization of the novel four-scroll chaotic system is presented by using SPICE to confirm the feasibility of the theoretical model.

引用

页码：1 / 6