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Generation of a multi-scroll chaotic system via smooth state transformation

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Abstract

The objective of this paper is to generate and analyse a multi-scroll chaotic system from a proposed oscillator system. A novel three-dimensional oscillator system is proposed and analysed for its chaotic range and produces a double-scroll chaotic system. Analogue circuit realization of the proposed oscillator is performed in the Multisim Circuit Design Suite. Further, unlike other nonsmooth methods that involve tedious calculations, a simple and smooth state transformation is proposed which results in multi-scroll attractors of the novel chaotic system. Different qualitative and quantitative tools including time series plot, phase portrait, bifurcation diagram, Lyapunov exponent spectrum, Lyapunov dimension and maximal Lyapunov exponent are used to analyse different behaviours. Simulation is carried out in a MATLAB environment for effective verification of the theoretical approach. The simulation results reveal that the objective is successfully achieved.

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The data sets generated during and/or analysed during the current study are available in the manuscript.

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Authors and Affiliations

  1. Department of Electrical Engineering, National Institute of Technology Meghalaya, Shillong, Meghalaya, 793003, India

    K. Sugandha & P. P. Singh

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  1. K. Sugandha
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  2. P. P. Singh
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Contributions

All authors contributed to the study conception and design. Mathematical and simulation analyses were performed by SK. The first draft of the manuscript was written by SK, and corrections or comments on the previous versions and final version of the manuscript were done by PPS. All authors read and approved the final manuscript.

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Correspondence to P. P. Singh.

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Sugandha, K., Singh, P.P. Generation of a multi-scroll chaotic system via smooth state transformation. J Comput Electron 21, 781–791 (2022). https://doi.org/10.1007/s10825-022-01892-y

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