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Resonance synchronisation between memristive oscillators and network without variable coupling

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Abstract

Continuous energy pumping and exchange along the coupling channel can balance the energy release between nonlinear oscillators for reaching complete synchronisation. When external stimulus is applied, energy is injected and encoded for regulating the dynamics of nonlinear oscillators and circuits. In this paper, the synchronisation between memristive Rössler oscillators is investigated by reactivating one memristive variable, and external stimuli are changed to detect the occurrence of synchronisation without direct variable coupling. In the presence of periodical stimulus, stochastic switch and feedback on the memristive variable can induce synchronisation between two memristive oscillators and chain network composed of memristive oscillators. In the presence of noise, stochastic feedback and disturbance on the memristive variable can keep synchronisation stable between two oscillators, and complete synchronisation is realised. In addition, the synchronisation factor and spatial patterns are calculated to confirm the occurrence of synchronisation between more chaotic oscillators when memristive function is activated even when no coupling channels are switched on.

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Acknowledgements

This project is supported by the National Natural Science Foundation of China under Grant Nos 11765011 and 12072139.

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Authors and Affiliations

  1. Department of Physics, Lanzhou University of Technology, Lanzhou,  730050, China

    Yin Zhang, Zhao Yao & Jun Ma

  2. School of Science, Chongqing University of Posts and Telecommunications, Chongqing,  430065, China

    Ping Zhou & Jun Ma

Authors
  1. Yin Zhang
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  2. Ping Zhou
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  3. Zhao Yao
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  4. Jun Ma
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Correspondence to Jun Ma.

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Zhang, Y., Zhou, P., Yao, Z. et al. Resonance synchronisation between memristive oscillators and network without variable coupling. Pramana - J Phys 95, 49 (2021). https://doi.org/10.1007/s12043-020-02073-x

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  • DOI: https://doi.org/10.1007/s12043-020-02073-x

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