{"title":"对称共存,完全控制,电路实现,和同步的一个忆阻器耦合震动混沌系统","authors":"Yuqi Wei, Xinyang Wang, Tingkai Zhao, Baoxiang Du","doi":"10.1016/j.aeue.2025.155820","DOIUrl":null,"url":null,"abstract":"<div><div>Memristors, with their distinctive nonlinearity, significantly enrich system dynamics by introducing high-dimensional complexity. This study proposes a novel four-dimensional (4D) center-symmetric chaotic system synthesized by integrating a non-chaotic Jerk system with a single memristor. We rigorously investigate the memristor-induced chaotic mechanisms and develop a complete control strategy for amplitude modulation and offset regulation, enabling precise manipulation of dynamical states. Initial condition variations induce a symmetry-breaking bifurcation, progressively splitting the original attractor into two symmetrically paired coexisting attractors. The complex chaotic dynamics are validated through both analog and digital circuit implementations, and the system is further applied to chaotic synchronization, broadening its potential applications in secure communication.</div></div>","PeriodicalId":50844,"journal":{"name":"Aeu-International Journal of Electronics and Communications","volume":"197 ","pages":"Article 155820"},"PeriodicalIF":3.0000,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Symmetric coexistence, complete control, circuit implementation, and synchronization of a memristor-coupled jerk chaotic system\",\"authors\":\"Yuqi Wei, Xinyang Wang, Tingkai Zhao, Baoxiang Du\",\"doi\":\"10.1016/j.aeue.2025.155820\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Memristors, with their distinctive nonlinearity, significantly enrich system dynamics by introducing high-dimensional complexity. This study proposes a novel four-dimensional (4D) center-symmetric chaotic system synthesized by integrating a non-chaotic Jerk system with a single memristor. We rigorously investigate the memristor-induced chaotic mechanisms and develop a complete control strategy for amplitude modulation and offset regulation, enabling precise manipulation of dynamical states. Initial condition variations induce a symmetry-breaking bifurcation, progressively splitting the original attractor into two symmetrically paired coexisting attractors. The complex chaotic dynamics are validated through both analog and digital circuit implementations, and the system is further applied to chaotic synchronization, broadening its potential applications in secure communication.</div></div>\",\"PeriodicalId\":50844,\"journal\":{\"name\":\"Aeu-International Journal of Electronics and Communications\",\"volume\":\"197 \",\"pages\":\"Article 155820\"},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2025-05-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Aeu-International Journal of Electronics and Communications\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S143484112500161X\",\"RegionNum\":3,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Aeu-International Journal of Electronics and Communications","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S143484112500161X","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Symmetric coexistence, complete control, circuit implementation, and synchronization of a memristor-coupled jerk chaotic system
Memristors, with their distinctive nonlinearity, significantly enrich system dynamics by introducing high-dimensional complexity. This study proposes a novel four-dimensional (4D) center-symmetric chaotic system synthesized by integrating a non-chaotic Jerk system with a single memristor. We rigorously investigate the memristor-induced chaotic mechanisms and develop a complete control strategy for amplitude modulation and offset regulation, enabling precise manipulation of dynamical states. Initial condition variations induce a symmetry-breaking bifurcation, progressively splitting the original attractor into two symmetrically paired coexisting attractors. The complex chaotic dynamics are validated through both analog and digital circuit implementations, and the system is further applied to chaotic synchronization, broadening its potential applications in secure communication.
期刊介绍:
AEÜ is an international scientific journal which publishes both original works and invited tutorials. The journal''s scope covers all aspects of theory and design of circuits, systems and devices for electronics, signal processing, and communication, including:
signal and system theory, digital signal processing
network theory and circuit design
information theory, communication theory and techniques, modulation, source and channel coding
switching theory and techniques, communication protocols
optical communications
microwave theory and techniques, radar, sonar
antennas, wave propagation
AEÜ publishes full papers and letters with very short turn around time but a high standard review process. Review cycles are typically finished within twelve weeks by application of modern electronic communication facilities.