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Chaotic and periodic bursting phenomena in a memristive Wien-bridge oscillator

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Abstract

Bursting, an important communication activity in biological neurons and endocrine cells, has been widely found in fast-slow dynamical systems. In this paper, a modified second-order generalized memristor, memristive diode bridge cascaded with LC network, is presented and its fingerprints of the pinched hysteresis loops are analyzed. By replacing the parallel resistor with the modified generalized memristor, a novel memristive Wien-bridge oscillator is constructed and its mathematical model is established, from which the dynamical behaviors of symmetric chaotic and periodic bursting oscillations are observed and the corresponding bifurcation mechanisms are explained. Based on a hardware realization circuit, experimental observations are performed, which verify the numerical simulations.

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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 Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing, 210094, China

    Huagan Wu & Zhong Liu

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

    Bocheng Bao, Quan Xu & Pan Jiang

Authors
  1. Huagan Wu
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  2. Bocheng Bao
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  3. Zhong Liu
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  4. Quan Xu
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  5. Pan Jiang
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Correspondence to Bocheng Bao.

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Wu, H., Bao, B., Liu, Z. et al. Chaotic and periodic bursting phenomena in a memristive Wien-bridge oscillator. Nonlinear Dyn 83, 893–903 (2016). https://doi.org/10.1007/s11071-015-2375-8

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  • DOI: https://doi.org/10.1007/s11071-015-2375-8

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