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Mode selection and stability of attractors in Chua circuit driven by piezoelectric sources

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  • Yang, Feifei
  • Ma, Jun
  • An, Xinlei

Abstract

The piezoelectric ceramic can be activated to produce continuous voltage and it is often used to excite nonlinear circuits, which is tamed as functional circuit to detect the acoustic wave and mechanic forcing. When two piezoelectric devices are combined to couple a nonlinear circuit, any switch between two channels embeds with piezoelectric ceramic will induce distinct mode transition in the output voltages. In addition, synchronous inputs from two piezoelectric ceramics will induce competition on exciting the nonlinear circuit and then the mode selection becomes competitive. In this paper, two piezoelectric devices are incorporated in two different branch circuits of the Chua circuit, and each piezoelectric ceramic is connected with a resistor in series in the branch circuit, the Chua circuit will be driven by two different external stimuli generated from the piezoelectric devices along the two branch circuits in parallel. The two branch circuits embedded with piezoelectric devices are controlled by two switchers S1, S2, and the induced piezoelectric voltages are described by periodic from without losing generality. Three cases are investigated for detecting the stability of attractors and mode selection in the chaotic Chua circuit driven by piezoelectric voltage sources. It is confirmed that the involvement of piezoelectric ceramic into the nonlinear circuit can control the dynamics and firing patterns effectively.

Suggested Citation

  • Yang, Feifei & Ma, Jun & An, Xinlei, 2022. "Mode selection and stability of attractors in Chua circuit driven by piezoelectric sources," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006609
    DOI: 10.1016/j.chaos.2022.112450
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    References listed on IDEAS

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    1. Chen, Mo & Wang, Ankai & Wang, Chao & Wu, Huagan & Bao, Bocheng, 2022. "DC-offset-induced hidden and asymmetric dynamics in Memristive Chua's circuit," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Yao, Zhao & Zhou, Ping & Alsaedi, Ahmed & Ma, Jun, 2020. "Energy flow-guided synchronization between chaotic circuits," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    3. Wu, H. & Zhou, J. & Chen, M. & Xu, Q. & Bao, B., 2022. "DC-offset induced asymmetry in memristive diode-bridge-based Shinriki oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    4. Weiping Guo & Diantong Liu, 2011. "Adaptive Control of Chaos in Chua's Circuit," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-14, April.
    5. Zhou, Ping & Yao, Zhao & Ma, Jun & Zhu, Zhigang, 2021. "A piezoelectric sensing neuron and resonance synchronization between auditory neurons under stimulus," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    6. Li, Xuejun & Mou, Jun & Banerjee, Santo & Wang, Zhisen & Cao, Yinghong, 2022. "Design and DSP implementation of a fractional-order detuned laser hyperchaotic circuit with applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
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    Cited by:

    1. Wang, Xuezhen & Zhang, Huasheng, 2023. "Intelligent control of convergence rate of impulsive dynamic systems affected by nonlinear disturbances under stabilizing impulses and its application in Chua’s circuit," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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