Journal
OPTIK
Volume 126, Issue 7-8, Pages 765-768Publisher
ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2015.02.029
Keywords
A novel three-dimensional chaotic system; Lyapunov exponent (LE); Bifurcation diagram; Circuit implementation
Categories
Funding
- National Natural Science Foundation of China [61302112]
- Zhejiang Provincial Natural Science Foundation of China [LQ15F020009, LY13F050005, LQ15F020010]
- Research Foundation of Education Department of Zhejiang Province [Y201224839]
- Innovative Scientific Research Project for Postgraduates in Zhejiang Province [YK2011049]
- Outstanding (Postgraduate) Dissertation Growth Foundation of Ningbo University [PY20110002]
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In this paper, a novel three-dimensional quadratic autonomous double-wing chaotic system is introduced and analyzed theoretically. The chaotic system is constructed with three control parameters and two different nonlinear items, in which one of the nonlinear term constituted by the sign function and the other nonlinear constituted by the square function. Some of its detailed basic dynamical properties, such as theoretical analysis, numerical simulation, the equilibrium point, Lyapunov exponent (LE) spectrum and bifurcation diagram are investigated either analytically or numerically. Moreover, an analog circuit diagram is designed to realize the new chaotic system. Circuit experiment result of the chaotic attractor is identical to computer simulation, and the chaotic characteristic is verified. (C) 2015 Elsevier GmbH. All rights reserved.
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