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Coexisting chaotic attractors in a memristive system and their amplitude control

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Abstract

A memristive chaotic system of rotational symmetry is constructed and analysed. The dynamical behaviour of the system is demonstrated by phase trajectories, Lyapunov exponents and bifurcation diagrams. Coexisting attractors are observed and a simple approach for amplitude control is proposed according to the specific structure. It shows that this symmetric memristive system has partial amplitude control when a control function is introduced. The corresponding circuit implementation is given by generating a symmetric pair of chaotic attractors. Circuit results agree well with the theoretical analysis and numerical simulation.

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Acknowledgements

This work was supported financially by the National Natural Science Foundation of China (Grant No. 61871230), the Natural Science Foundation of Jiangsu Province (Grant No. BK20181410) and the Natural Science Foundation of Shandong Province (Grant No. ZR2017PA008).

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Authors and Affiliations

  1. Collaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan,  250200, China

    Hongyan Zang & Tengfei Lei

  2. Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing,  210044, China

    Zhenyu Gu & Chunbiao Li

  3. Biomedical Engineering Faculty, Amirkabir University of Technology, 424 Hafez Ave, Tehran,  15875-4413, Iran

    Sajad Jafari

Authors
  1. Hongyan Zang
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  2. Zhenyu Gu
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  3. Tengfei Lei
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  4. Chunbiao Li
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  5. Sajad Jafari
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Corresponding author

Correspondence to Chunbiao Li.

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Zang, H., Gu, Z., Lei, T. et al. Coexisting chaotic attractors in a memristive system and their amplitude control. Pramana - J Phys 94, 62 (2020). https://doi.org/10.1007/s12043-020-1937-6

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  • DOI: https://doi.org/10.1007/s12043-020-1937-6

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