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In this paper, the backward Euler scheme is employed to discretize an ideal sinusoidal memristor model. The obtained discrete model retains the essential features of novel discrete memristors, including the coexistence of pinched hysteresis loops. Based on this model, a new two-dimensional fractional discrete memristor-based chaotic system is developed. The chaotic dynamics are demonstrated through several analyses, such as bifurcation diagrams and phase portraits.

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Chaos in Incommensurate-Order Fractional Discrete Memristive Systems

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  • 发表日期：

    2026年

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  • Amina Aicha Khennaoui,
  • Adel Ouannas

摘要

In this paper, the backward Euler scheme is employed to discretize an ideal sinusoidal memristor model. The obtained discrete model retains the essential features of novel discrete memristors, including the coexistence of pinched hysteresis loops. Based on this model, a new two-dimensional fractional discrete memristor-based chaotic system is developed. The chaotic dynamics are demonstrated through several analyses, such as bifurcation diagrams and phase portraits.