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Nonlinear dynamics in non-volatile locally-active memristor for periodic and chaotic oscillations |
Wen-Yu Gu(谷文玉), Guang-Yi Wang(王光义)†, Yu-Jiao Dong(董玉姣), and Jia-Jie Ying(应佳捷) |
Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China |
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Abstract Complexity and abundant dynamics may arise in locally-active systems only, in which locally-active elements are essential to amplify infinitesimal fluctuation signals and maintain oscillating. It has been recently found that some memristors may act as locally-active elements under suitable biasing. A number of important engineering applications would benefit from locally-active memristors. The aim of this paper is to show that locally-active memristor-based circuits can generate periodic and chaotic oscillations. To this end, we propose a non-volatile locally-active memristor, which has two asymptotically stable equilibrium points (or two non-volatile memristances) and globally-passive but locally-active characteristic. At an operating point in the locally-active region, a small-signal equivalent circuit is derived for describing the characteristics of the memristor near the operating point. By using the small-signal equivalent circuit, we show that the memristor possesses an edge of chaos in a voltage range, and that the memristor, when connected in series with an inductor, can oscillate about a locally-active operating point in the edge of chaos. And the oscillating frequency and the external inductance are determined by the small-signal admittance Y(iω). Furthermore, if the parasitic capacitor in parallel with the memristor is considered in the periodic oscillating circuit, the circuit generates chaotic oscillations.
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Received: 22 April 2020
Revised: 07 June 2020
Accepted manuscript online: 18 June 2020
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Fund: the National Natural Science Foundation of China (Grant No. 61771176). |
Corresponding Authors:
†Corresponding author. E-mail: wanggyi@163.com
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Cite this article:
Wen-Yu Gu(谷文玉), Guang-Yi Wang(王光义), Yu-Jiao Dong(董玉姣), and Jia-Jie Ying(应佳捷) Nonlinear dynamics in non-volatile locally-active memristor for periodic and chaotic oscillations 2020 Chin. Phys. B 29 110503
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