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Multi-scroll and hypercube attractors from a general jerk circuit using Josephson junctions

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  • Yalçin, Müştak E.

Abstract

In this paper Josephson junctions are used in order to generate n-scroll and n-scroll hypercube attractors. The design and realization of multi-scroll attractors depends on synthesizing the nonlinearity with an electrical circuit. Therefore we propose to use of the Josephson junction in a general jerk circuit in such a way that there is no need for synthesizing the nonlinearity towards chaotic n-scroll and hyperchaotic n-scroll hypercube attractors. The results are illustrated with computer simulations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:5:p:1659-1666
    DOI: 10.1016/j.chaos.2006.04.058
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    References listed on IDEAS

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    1. Yang, Xiao-Song & Li, Qingdu, 2006. "A computer-assisted proof of chaos in Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 25-30.
    2. Ahmad, Wajdi M., 2005. "Generation and control of multi-scroll chaotic attractors in fractional order systems," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 727-735.
    3. Ahmad, Wajdi M., 2006. "A simple multi-scroll hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1213-1219.
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    1. 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.

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