Chaotic behavior in fractional-order memristor-based simplest chaotic circuit using fourth degree polynomial |
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Authors: | Lin Teng Herbert H C Iu Xingyuan Wang Xiukun Wang |
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Institution: | 1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, 116024, China 2. School of Electrical, Electronic and Computer Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia
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Abstract: | In this paper, a memristor with a fourth degree polynomial memristance function is used in the simplest chaotic circuit which has only three circuit elements: a linear passive inductor, a linear passive capacitor, and a nonlinear active memristor. We use second order exponent internal state memristor function and fourth degree polynomial memristance function to increase complexity of the chaos. So, the system can generate double-scroll attractor and four-scroll attractor. Systematic studies of chaotic behavior in the integer-order and fractional-order systems are performed using phase portraits, bifurcation diagrams, Lyapunov exponents, and stability analysis. Simulation results show that both integer-order and fractional-order systems exhibit chaotic behavior over a range of control parameters. |
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