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On the dynamics of chaotic circuits based on memristive diode-bridge with variable symmetry: A case study

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  • Kamdjeu Kengne, Léandre
  • Mboupda Pone, Justin Roger
  • Fotsin, Hilaire Bertrand

Abstract

It is widely accepted that for any physical system, symmetries are rarely exact. Therefore, some symmetry imperfections must be always assumed to be present. The dynamics of memristor-based chaotic circuits with symmetric hysteresis loop is well documented. However, only a few works are devoted to the dynamics of these types of circuits when the current-voltage characteristic of the considered memristor is no longer symmetrical. Accordingly, we consider in this work (as a case study) the dynamics of a generalized memristive diode-bridge-based jerk circuit whose symmetry can be varied. We denote by k the dissymmetry coefficient. The tools used for the analysis are the Routh-Hurwitz criterion, bifurcation diagrams, phase portraits, and basins of attraction. It is shown that in the symmetric configuration (i.e. when k=1.0) there are three symmetric equilibria whereas in the asymmetric configuration (i.e. when k≠1.0) we always have two equilibrium with fixed position in state space and a third one whose location varies according to the value of the dissymmetry coefficient. The intrinsic nonlinearity of the memristor is responsible for the plethora of nonlinear and complex behaviours observed in both configurations. These include the coexistence of symmetric and asymmetric attractors, coexisting symmetric and asymmetric bubbles of bifurcation, and symmetric and asymmetric double-scroll chaotic attractors, just to name a few. In addition, the experimental investigations agree well with the results of theoretical and numerical studies.

Suggested Citation

  • Kamdjeu Kengne, Léandre & Mboupda Pone, Justin Roger & Fotsin, Hilaire Bertrand, 2021. "On the dynamics of chaotic circuits based on memristive diode-bridge with variable symmetry: A case study," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
  • Handle: RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921001478
    DOI: 10.1016/j.chaos.2021.110795
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    1. Ye, Zhi-Jiang & Chen, Yi-Xi & Zheng, Yi-Yin & Chen, Xiong-Wei & Liu, Bin, 2020. "Symmetry breaking of a matter-wave soliton in a double-well potential formed by spatially confined spin-orbit coupling," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    2. 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.
    3. Xu, Quan & Lin, Yi & Bao, Bocheng & Chen, Mo, 2016. "Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 186-200.
    4. Hong-Yu Wu & Jin-Xi Fei & Zheng-Yi Ma & Jun-Chao Chen & Wen-Xiu Ma, 2020. "Symmetry Breaking Soliton, Breather, and Lump Solutions of a Nonlocal Kadomtsev–Petviashvili System," Complexity, Hindawi, vol. 2020, pages 1-13, March.
    5. Njitacke, Z.T. & kengne, J. & Fotsin, H.B. & Negou, A. Nguomkam & Tchiotsop, D., 2016. "Coexistence of multiple attractors and crisis route to chaos in a novel memristive diode bidge-based Jerk circuit," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 180-197.
    6. Hanias, M.P. & Giannaris, G. & Spyridakis, A. & Rigas, A., 2006. "Time series analysis in chaotic diode resonator circuit," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 569-573.
    7. 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.
    8. Dmitri B. Strukov & Gregory S. Snider & Duncan R. Stewart & R. Stanley Williams, 2008. "The missing memristor found," Nature, Nature, vol. 453(7191), pages 80-83, May.
    9. Léandre Kamdjeu Kengne & Jacques Kengne & Justin Roger Mboupda Pone & Hervé Thierry Kamdem Tagne, 2020. "Symmetry Breaking, Coexisting Bubbles, Multistability, and Its Control for a Simple Jerk System with Hyperbolic Tangent Nonlinearity," Complexity, Hindawi, vol. 2020, pages 1-24, April.
    10. Lai, Qiang & Norouzi, Benyamin & Liu, Feng, 2018. "Dynamic analysis, circuit realization, control design and image encryption application of an extended Lü system with coexisting attractors," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 230-245.
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    2. Ramadoss, Janarthanan & Kengne, Jacques & Kengnou Telem, Adélaïde Nicole & Rajagopal, Karthikeyan, 2022. "Broken symmetry and dynamics of a memristive diodes bridge-based Shinriki oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).

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