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A new chaotic multi-stable hyperjerk system with various types of attractors

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Abstract

In this paper, a multi-stable chaotic hyperjerk system with both self-excited and hidden attractors is proposed. Such a system is infrequent between dynamical systems. State-space, bifurcation, and Lyapunov exponent plots are presented to show the existence of chaotic dynamics. The fractional-order model of the system and its dynamical properties are studied in this paper.

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Acknowledgment

This work is partially funded by Center for Computational Biology, Chennai Institute of Technology, India, vide Funding Number CIT/CCB/2021/RD/007

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Authors and Affiliations

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

    K. Rajagopal

  2. Faculty of Computer Science and Engineering, Shahid Beheshti University, Tehran, Iran

    Y. Shekofteh

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

    F. Nazarimehr & S. Jafari

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

    C. Li

  5. Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    C. Li

  6. Center for Computational Biology, Chennai Institute of Technology, Chennai, India

    S. Jafari

  7. Health Technology Research Institute, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran, 159163-4311, Iran

    S. Jafari

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  1. K. Rajagopal
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  2. Y. Shekofteh
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  3. F. Nazarimehr
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  4. C. Li
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  5. S. Jafari
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Correspondence to S. Jafari.

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Rajagopal, K., Shekofteh, Y., Nazarimehr, F. et al. A new chaotic multi-stable hyperjerk system with various types of attractors. Indian J Phys 96, 1501–1507 (2022). https://doi.org/10.1007/s12648-021-02075-4

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  • DOI: https://doi.org/10.1007/s12648-021-02075-4

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