Balakrishnan Sriram, Victor Kamdoum Tamba, Eric Donald Dongmo, André Chéagé Chamgoué, Karthikeyan Rajagopal
{"title":"Autonomous Jerk Oscillator with Quadratic Nonlinearities: Theoretical Investigations, Chaos Control, and Difference Synchronization","authors":"Balakrishnan Sriram, Victor Kamdoum Tamba, Eric Donald Dongmo, André Chéagé Chamgoué, Karthikeyan Rajagopal","doi":"10.1007/s40995-023-01491-x","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"47 4","pages":"1313 - 1324"},"PeriodicalIF":1.4000,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-023-01491-x","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0
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.
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
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