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Strange nonchaotic attractor in memristor-based van der Pol oscillator

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Abstract

We report the occurrence of a strange nonchaotic attractor in a quasi-periodically driven memristor based van der Pol oscillator. The strange nonchaotic attractors (SNAs) appear in the system with suitable choices of parameters. While varying the amplitude of one of the external forces, we observe that the system torus gets fractalized and the SNAs are emerging. We use both the qualitative and quantitative characterization methods, such as Lyapunov exponent, the variance of finite-time Lyapunov exponent, Poincaré maps, singular continuous spectrum, and phase sensitivity exponent to confirm the SNAs in the system.

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Acknowledgements

This work is funded by the Center for Nonlinear Systems, Chennai Institute of Technology, India via funding number CIT/CNS/2021/RD/009, Chennai Institute of technology CIT/CNS/2021/RP-015.

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Authors and Affiliations

  1. Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, Tamilnadu, 600 069, India

    D. Premraj, Suresh Kumarasamy, K. Thamilmaran & Karthikeyan Rajagopal

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  1. D. Premraj
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  2. Suresh Kumarasamy
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  3. K. Thamilmaran
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  4. Karthikeyan Rajagopal
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Correspondence to Karthikeyan Rajagopal.

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Premraj, D., Kumarasamy, S., Thamilmaran, K. et al. Strange nonchaotic attractor in memristor-based van der Pol oscillator. Eur. Phys. J. Spec. Top. 231, 3143–3149 (2022). https://doi.org/10.1140/epjs/s11734-022-00562-1

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