Intermittent sampled-data control for exponential synchronization of chaotic delayed neural networks via an interval-dependent functional

Ni, Yanyan; Wang, Zhen

doi:10.1016/j.eswa.2023.119918

Cited by 15 publications

(1 citation statement)

References 29 publications

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“…Chaotic systems find a wide range of engineering applications such as memristors [1][2][3][4], laser systems [5][6][7], electrical circuits [8][9][10], neural networks [11,12], encryption [13][14][15], memristors [16], neuron models [17], etc. As a particular case, a third-order autonomous jerk differential equation has the general form ... = F( , ˙ , ¨ )…”

Section: Introductionmentioning

confidence: 99%

A Novel 3-D Jerk System, Its Bifurcation Analysis, Electronic Circuit Design and a Cryptographic Application

Vaidyanathan,

Kammogne,

Tlelo-Cuautle

et al. 2023

Electronics

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This paper introduces a new chaotic jerk system with three cubic nonlinear terms. The stability properties of the three equilibrium points of the proposed jerk system are analyzed in detail. We show that the three equilibrium points of the new chaotic jerk system are unstable and deduce that the jerk system exhibits self-excited chaotic attractors. The bifurcation structures of the proposed jerk system are investigated numerically, showing period-doubling, periodic windows and coexisting bifurcations. An electronic circuit design of the proposed jerk system is designed using PSPICE. As an engineering application, a new image-encryption approach based on the new chaotic jerk system is presented in this research work. Experimental results demonstrate that the suggested encryption mechanism is effective with high plain-image sensitivity and the reliability of the proposed chaotic jerk system for various cryptographic purposes.

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