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Complex transient dynamics in periodically forced memristive Chua’s circuit

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Abstract

When a sinusoidal voltage stimulus is applied, memristive Chua’s circuit becomes a non-autonomous periodically forced nonlinear circuit. By utilizing theoretical formulations, simulations and experimental verifications, the complex transient dynamics of the periodically forced memristive Chua’s circuit is investigated in this paper. It can be found that the equilibrium point of the circuit switches between a line equilibrium and no equilibrium with the time evolutions, and the circuit exhibits period, chaos and also hyperchaos in a parameter range of the stimulus frequency. Moreover, some abundant interesting nonlinear phenomena including transient chaos, transient hyperchaos and chaotic beats are revealed numerically and verified experimentally.

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Acknowledgments

This work was supported by the grants from the National Natural Science Foundations of China (Grant No. 51277017) and the Natural Science Foundations of Jiangsu Province (Grant No. BK2012583).

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Authors and Affiliations

  1. School of Information Science and Engineering, Changzhou University, Changzhou, 213164, China

    Bocheng Bao, Pan Jiang & Fengwei Hu

  2. Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing, 210094, China

    Huagan Wu

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  1. Bocheng Bao
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  2. Pan Jiang
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  3. Huagan Wu
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  4. Fengwei Hu
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Correspondence to Bocheng Bao.

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Bao, B., Jiang, P., Wu, H. et al. Complex transient dynamics in periodically forced memristive Chua’s circuit. Nonlinear Dyn 79, 2333–2343 (2015). https://doi.org/10.1007/s11071-014-1815-1

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  • DOI: https://doi.org/10.1007/s11071-014-1815-1

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