Autonomous Jerk Oscillator with Quadratic Nonlinearities: Theoretical Investigations, Chaos Control, and Difference Synchronization

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2023-07-17 DOI:10.1007/s40995-023-01491-x

Balakrishnan Sriram, Victor Kamdoum Tamba, Eric Donald Dongmo, André Chéagé Chamgoué, Karthikeyan Rajagopal

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Abstract

This paper reports concerning the microcontroller validation of a self-governing jerk oscillator with quadratic nonlinearities (AJOQN) and operation investigations based on chaos control and difference synchronization. AJOQN displays self-excited chaotic attractors with different shapes. The total amplitude control of AJOQN is achieved by tuning one of its parameters. The dynamical characteristics reported in AJOQN are vindicated via the microcontrollerprobing. A single controller is delineated to quash the complex characteristics of AJOQN. The validity of the designed single controller is confirmed by the numerical simulations. In the bargain, controllers are formulated to establish difference synchronization in the triple similar coupled chaotic AJOQNs advancing from different incipient states. In closing, simulations numerically of the triple alike coupled chaotic AJOQNs manifest the efficacy of difference synchronization.

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二次非线性自激振:理论研究、混沌控制与差分同步

本文报道了二次非线性自激振荡振荡器(AJOQN)的微控制器验证以及基于混沌控制和差分同步的运行研究。AJOQN显示不同形状的自激混沌吸引子。AJOQN的总幅度控制是通过调整它的一个参数来实现的。通过微控制器探测证实了AJOQN中报道的动态特性。描述了一个单一的控制器来抑制AJOQN的复杂特性。通过数值仿真验证了所设计的单控制器的有效性。在此基础上，设计了控制器来实现从不同初始状态推进的三个相似耦合混沌ajoqn的差分同步。最后，对三相似耦合混沌ajon的数值模拟表明了差分同步的有效性。

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来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences