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Dynamic analysis and multistability of a novel four-wing chaotic system with smooth piecewise quadratic nonlinearity

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  • Signing, V.R. Folifack
  • Kengne, J.
  • Kana, L.K.

Abstract

In this contribution, a new four-wing chaotic system with a smooth piecewise quadratic nonlinearity is introduced. The novel system is inspired from the cubic one introduced by Sampath et al. (2015). Fundamental properties of the new system are discussed and its complex behaviors are characterized using classical nonlinear diagnostic tools. This system exhibits a rich repertoire of dynamic behaviors when suitable set of parameters are chosen including a single two-wing and four-wing chaotic attractors. Further analysis of the novel system shows that four disconnected coexisting stable states can be observed with different initial values. Moreover, the smooth quadratic nonlinearity is easily implemented by using off-the-shelf electronic components (instead of analog multiplier ship in the case of a cubic nonlinearity). The synchronization and the feasibility of the proposed mathematical model are also presented by developing an adaptive synchronization scheme of two identical four-wing chaotic systems and using PSpice simulations based on an electronic analog of the model.

Suggested Citation

  • Signing, V.R. Folifack & Kengne, J. & Kana, L.K., 2018. "Dynamic analysis and multistability of a novel four-wing chaotic system with smooth piecewise quadratic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 263-274.
    • Handle: RePEc:eee:chsofr:v:113:y:2018:i:c:p:263-274
    DOI: 10.1016/j.chaos.2018.06.008
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    1. Njitacke, Z.T. & Kengne, J. & Tapche, R. Wafo & Pelap, F.B., 2018. "Uncertain destination dynamics of a novel memristive 4D autonomous system," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 177-185.
    2. Chen, Qingfei & Hong, Yiguang & Chen, Guanrong, 2006. "Chaotic behaviors and toroidal/spherical attractors generated by discontinuous dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 293-302.
    3. Bouallegue, Kais & Chaari, Abdessattar & Toumi, Ahmed, 2011. "Multi-scroll and multi-wing chaotic attractor generated with Julia process fractal," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 79-85.
    4. Bao, B.C. & Bao, H. & Wang, N. & Chen, M. & Xu, Q., 2017. "Hidden extreme multistability in memristive hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 102-111.
    5. Grassi, Giuseppe & Severance, Frank L. & Miller, Damon A., 2009. "Multi-wing hyperchaotic attractors from coupled Lorenz systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 284-291.
    6. Leutcho, G.D. & Kengne, J. & Kengne, L. Kamdjeu, 2018. "Dynamical analysis of a novel autonomous 4-D hyperjerk circuit with hyperbolic sine nonlinearity: Chaos, antimonotonicity and a plethora of coexisting attractors," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 67-87.
    7. Njitacke, Z.T. & kengne, J. & Kengne, L. Kamdjeu, 2017. "Antimonotonicity, chaos and multiple coexisting attractors in a simple hybrid diode-based jerk circuit," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 77-91.
    8. Kengne, J. & Njikam, S.M. & Signing, V.R. Folifack, 2018. "A plethora of coexisting strange attractors in a simple jerk system with hyperbolic tangent nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 201-213.
    9. Chen, Zengqiang & Yang, Yong & Yuan, Zhuzhi, 2008. "A single three-wing or four-wing chaotic attractor generated from a three-dimensional smooth quadratic autonomous system," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1187-1196.
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    Cited by:

    1. Kuate, Paul Didier Kamdem & Tchendjeu, Achille Ecladore Tchahou & Fotsin, Hilaire, 2020. "A modified Rössler prototype-4 system based on Chua’s diode nonlinearity : Dynamics, multistability, multiscroll generation and FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. Sahoo, Shilalipi & Roy, Binoy Krishna, 2022. "A new multi-wing chaotic attractor with unusual variation in the number of wings," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Peng, Hongxin & Ji’e, Musha & Du, Xinyu & Duan, Shukai & Wang, Lidan, 2023. "Design of pseudorandom number generator based on a controllable multi-double-scroll chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    4. Bao, Han & Ding, Ruoyu & Chen, Bei & Xu, Quan & Bao, Bocheng, 2023. "Two-dimensional non-autonomous neuron model with parameter-controlled multi-scroll chaotic attractors," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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