A special memristive diode-bridge-based hyperchaotic hyperjerk autonomous circuit with three positive Lyapunov exponents

IF 5.3 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Chaos Solitons & Fractals Pub Date : 2024-11-05 DOI:10.1016/j.chaos.2024.115704
Xianwei Rong , Jean Chamberlain Chedjou , Xiaoyan Yu , Makhkamov Bakhtiyor Shukhratovich , Donghua Jiang , Jacques Kengne
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Abstract

This work presents an autonomous hyperjerk type circuit where a generalized memristor consisting of a diode-bridge and an RC filter acts as nonlinear component. The dynamics equations of the proposed circuit are presented in the form of an infinitely differentiable (i.e. smooth) system of order six. A detailed analysis of the model, carried out using classic techniques for studying nonlinear systems, reveals surprising behaviors such as the coexistence of bifurcation modes, non-trivial transient behaviors, offset boosting, torus, chaos, as well as hyperchaos with three positive Lyapunov exponents. These results are obtained by varying both the initial states and the model parameters. This multitude of dynamic properties is verified in the laboratory by carrying out series of measurements on the prototype of the memristive circuit. To the best of our knowledge, the circuit proposed in this article represents the simplest memristor-based circuit known to date in the relevant literature which can generate hyperchaotic signals with three positive Lyapunov exponents.
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具有三个正 Lyapunov 指数的基于特殊记忆二极管桥的超混沌超杰克自治电路
这项研究提出了一种自主超强型电路,其中一个由二极管桥和 RC 滤波器组成的广义忆阻器充当非线性元件。该电路的动力学方程以六阶无穷微分(即平滑)系统的形式呈现。利用研究非线性系统的经典技术对该模型进行了详细分析,发现了一些令人惊讶的行为,如分岔模式并存、非三相瞬态行为、偏移增强、环形、混沌以及具有三个正 Lyapunov 指数的超混沌。这些结果是通过改变初始状态和模型参数获得的。在实验室中,通过对忆苦思甜电路原型进行一系列测量,验证了这些动态特性的多样性。据我们所知,本文提出的电路是迄今为止相关文献中已知的最简单的基于忆阻器的电路,它可以产生具有三个正李亚普诺夫指数的超混沌信号。
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来源期刊
Chaos Solitons & Fractals
Chaos Solitons & Fractals 物理-数学跨学科应用
CiteScore
13.20
自引率
10.30%
发文量
1087
审稿时长
9 months
期刊介绍: Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.
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