Initial-condition parameterization and dynamical effect of a dual-memelement-based oscillation circuit

Chen, Bei; Cheng, Xinxin; Bao, Han; Chen, Yang; Xu, Quan

doi:10.1140/epjp/s13360-022-03510-z

Cited by 2 publications

(1 citation statement)

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“…Memductance functions can often be split into two categories: smooth functions and non-smooth functions. Many memristor-based circuits and systems are explored using some conventional smooth functions, such as the hyperbolic tangent (Tanh) memductance function [12,19], quadric memductance function [20], sine memductance function [21], and others [22]. Absolute value memductance function is a common non-smooth function, and is often used to construct novel memristive system [23].…”

Section: Introductionmentioning

confidence: 99%

Initial-condition effects on ReLU-type hyper-jerk system and its application in image encryption

Zhang,

Peng,

Chen

et al. 2023

Phys. Scr.

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Abstract：The memristive hyper-jerk system described in this study has a non-smooth Rectified Linear Unit (ReLU) memductance function. A non-smooth memductance function of this kind might cause the system to have three line equilibria within it, bring about the arrival of extreme multistability with infinitely many coexisting attractors. Analyzing the three line equilibria’s stabilities and researching the intricate dynamical effects triggered by memristor and non-memristor initial conditions are related topic. Phase portraits, bifurcation diagrams, Lyapunov exponent spectra, and the basins of attraction all show the dynamical tendencies. According to the results, the novel system’s dynamical behaviors depend on both the memristor initial condition and the non-memristor initial conditions. Moreover, PSIM circuit simulations and MCU-based hardware measurements are run to confirm the coexisting infinitely many attractors. The ReLU-type hyper-jerk system is then utilized to encrypt images. Experimental findings support its exceptional robustness against a range of potential attacks. 

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