Implementation and study of the nonlinear dynamics of a memristor-based Duffing oscillator
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- 作者：S. Sabarathinam ; Christos K. Volos ; K. Thamilmaran
- 关键词：Memristor ; Memristor Duffing oscillator ; Experimental evidence of transient chaos ; Three tori
- 刊名：Nonlinear Dynamics
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：87
- 期：1
- 页码：37-49
- 全文大小：
- 刊物类别：Engineering
- 刊物主题：Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering;
- 出版者：Springer Netherlands
- ISSN：1573-269X
- 卷排序：87
文摘
An electronic model of Duffing oscillator with a characteristic memristive nonlinear element is proposed instead of the classical cubic nonlinearity. The memristive Duffing oscillator circuit system is mathematically modeled, and the stability analysis presents the evolution of the proposed system. The dynamical behavior of this circuit is investigated through numerical simulations, statistical analysis, and real-time hardware experiments, which have been carried out under the external periodic force. The chaotic dynamics of the circuit is studied by means of phase diagram. It is found that the proposed circuit system shows complex behaviors, like bifurcations and chaos, three tori, transient chaos, and intermittency for a certain range of circuit parameters. The observed phenomena and scenario are illustrated in detail through experimental and numerical studies of memristive Duffing oscillator circuit. The existence of regular and chaotic behaviors is also verified by using 0–1 test measurements. In addition, the robustness of the signal strength is confirmed through signal-to-noise ratio. The numerically observed results are confirmed from the laboratory experiment.