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A single parametrically controlled megastable multiscroll attractor with an unstable node

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  • Manoj Joshi

    (JSS Academy of Technical Education)

  • Vivek Bhatt

    (National Institute of Technology)

  • Ashish Ranjan

    (National Institute of Technology)

Abstract

This paper introduces a unique concept for generating multiscroll attractors using a single parametric control nonlinearity function. The novelty of this proposed multiscroll chaotic system evolves several fluctuating attractors by varying a single parameter instead of replacing the nonlinear function. The proposed simple chaotic system is free from multiplication terms and uses a sin nonlinearity term. As per the author’s knowledge, multiscroll chaotic system in the available literature have more than one parameter. An exceptional multiscroll behavior of the present work can be significantly examined by its various dynamical performance parameters like a transient response, phase portraits, Lyapunov exponents, and a bifurcation diagram. The proposed chaotic system belongs to the class of hidden attractors with a single unstable node. The other side of the investigation includes numerical simulation, which reports the system’s sensitivity concerning parameter values and initial condition variation. In addition, bi-coherence and bi-frequencies nature are successfully observed to quantify the amount of nonlinearity present in a chaotic system. Graphic abstract

Suggested Citation

  • Manoj Joshi & Vivek Bhatt & Ashish Ranjan, 2023. "A single parametrically controlled megastable multiscroll attractor with an unstable node," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(5), pages 1-9, May.
    • Handle: RePEc:spr:eurphb:v:96:y:2023:i:5:d:10.1140_epjb_s10051-023-00535-w
    DOI: 10.1140/epjb/s10051-023-00535-w
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    References listed on IDEAS

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    1. J. M. Muñoz-Pacheco & D. K. Guevara-Flores & O. G. Félix-Beltrán & E. Tlelo-Cuautle & J. E. Barradas-Guevara & C. K. Volos, 2018. "Experimental Verification of Optimized Multiscroll Chaotic Oscillators Based on Irregular Saturated Functions," Complexity, Hindawi, vol. 2018, pages 1-17, March.
    2. Yalçin, Müştak E., 2007. "Multi-scroll and hypercube attractors from a general jerk circuit using Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1659-1666.
    3. Joshi, Manoj & Ranjan, Ashish, 2020. "Investigation of dynamical properties in hysteresis-based a simple chaotic waveform generator with two stable equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
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