Bursting, Coexistence Analysis and DSP Implementation of Duffing System Based on Hyperbolic-tangent Memristor

Mengjiao WANG; Yong DENG; Zhijun LI; Yicheng ZENG

doi:10.11999/JEIT190631

Volume 42 Issue 4

Jun. 2020

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Mengjiao WANG, Yong DENG, Zhijun LI, Yicheng ZENG. Bursting, Coexistence Analysis and DSP Implementation of Duffing System Based on Hyperbolic-tangent Memristor[J]. Journal of Electronics & Information Technology, 2020, 42(4): 818-826. doi: 10.11999/JEIT190631

Citation:

Mengjiao WANG, Yong DENG, Zhijun LI, Yicheng ZENG. Bursting, Coexistence Analysis and DSP Implementation of Duffing System Based on Hyperbolic-tangent Memristor[J]. Journal of Electronics & Information Technology, 2020, 42(4): 818-826. doi: 10.11999/JEIT190631

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Bursting, Coexistence Analysis and DSP Implementation of Duffing System Based on Hyperbolic-tangent Memristor

doi: 10.11999/JEIT190631

1.
College of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China
2.
School of Physics and Optoelectric Engineering, Xiangtan University, Xiangtan 411105, China

Funds: The National Natural Science Foundation of China (11747087), The Natural Science Foundation of Hunan Province (2019JJ50624), The Research Foundation of Education Department of Hunan Province (17C1530), The Natural Science Foundation of Guangdong Province(2017A030310659)

Received Date: 2019-08-23
Rev Recd Date: 2020-02-28

Available Online: 2020-03-10

Publish Date: 2020-06-04

Abstract

Abstract

Memristor is first proposed by Chua as the fourth basic circuit element, which provides a novel idea for the design and engineering application of chaotic circuits. A novel memristive Duffing nonautonomous system is obtained by introducing a hyperbolic-tangent memristor into the Homles type Duffing system. By using the transformed phase portraits, phase portraits, Lyapunov exponents, etc., it is revealed that the system has novel dynamical behaviors such as bursts with controllable number of oscillation spikes, non-completely symmetrical bilateral bursts, coexistence of non-completely symmetrical bursts, multiple coexistence of chaos and period. The mechanism of bursting is studied by analysis of equilibrium point and bifurcation diagram. Multisim circuit simulation and Digital Signal Processing platform (DSP) are used to implement the system in hardware, and the experimental results basically consistent with the theoretical analysis prove that the system is feasible and physically achievable.
- Memristor,
- Duffing,
- Bursting,
- Delayed bifurcation,
- Coexistence

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References(24)

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