{"title":"一种新型参数可控球形多涡旋记忆保守超混沌系统的分析与实现","authors":"Yizhe Li, Mu Li","doi":"10.1016/j.vlsi.2025.102409","DOIUrl":null,"url":null,"abstract":"<div><div>A spherical multi-scroll memristive conservative hyperchaotic system with parameter control is proposed, and the system's conservatism and chaos are verified by analysis of equilibrium point, divergence, Lyapunov exponent, and Kaplan-Yorke dimension. We found that the number of spherical scrolls shows two different forms of variation with two different system parameters, and that the system has a large range of hyperchaotic characteristics. Then, offset-boosting under state variables control, offset-boosting under initial value control and multistability of the system are investigated, and three different types of coexisting attractors are found. Meanwhile, two kinds of transient transition behaviours occur in the system with time. Finally, the system's hardware is implemented using FPGA.</div></div>","PeriodicalId":54973,"journal":{"name":"Integration-The Vlsi Journal","volume":"103 ","pages":"Article 102409"},"PeriodicalIF":2.5000,"publicationDate":"2025-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis and implementation of a novel parametrically controllable spherical multi-scroll memristive conservative hyperchaotic system\",\"authors\":\"Yizhe Li, Mu Li\",\"doi\":\"10.1016/j.vlsi.2025.102409\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A spherical multi-scroll memristive conservative hyperchaotic system with parameter control is proposed, and the system's conservatism and chaos are verified by analysis of equilibrium point, divergence, Lyapunov exponent, and Kaplan-Yorke dimension. We found that the number of spherical scrolls shows two different forms of variation with two different system parameters, and that the system has a large range of hyperchaotic characteristics. Then, offset-boosting under state variables control, offset-boosting under initial value control and multistability of the system are investigated, and three different types of coexisting attractors are found. Meanwhile, two kinds of transient transition behaviours occur in the system with time. Finally, the system's hardware is implemented using FPGA.</div></div>\",\"PeriodicalId\":54973,\"journal\":{\"name\":\"Integration-The Vlsi Journal\",\"volume\":\"103 \",\"pages\":\"Article 102409\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2025-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Integration-The Vlsi Journal\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0167926025000665\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"COMPUTER SCIENCE, HARDWARE & ARCHITECTURE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Integration-The Vlsi Journal","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167926025000665","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, HARDWARE & ARCHITECTURE","Score":null,"Total":0}
Analysis and implementation of a novel parametrically controllable spherical multi-scroll memristive conservative hyperchaotic system
A spherical multi-scroll memristive conservative hyperchaotic system with parameter control is proposed, and the system's conservatism and chaos are verified by analysis of equilibrium point, divergence, Lyapunov exponent, and Kaplan-Yorke dimension. We found that the number of spherical scrolls shows two different forms of variation with two different system parameters, and that the system has a large range of hyperchaotic characteristics. Then, offset-boosting under state variables control, offset-boosting under initial value control and multistability of the system are investigated, and three different types of coexisting attractors are found. Meanwhile, two kinds of transient transition behaviours occur in the system with time. Finally, the system's hardware is implemented using FPGA.
期刊介绍:
Integration''s aim is to cover every aspect of the VLSI area, with an emphasis on cross-fertilization between various fields of science, and the design, verification, test and applications of integrated circuits and systems, as well as closely related topics in process and device technologies. Individual issues will feature peer-reviewed tutorials and articles as well as reviews of recent publications. The intended coverage of the journal can be assessed by examining the following (non-exclusive) list of topics:
Specification methods and languages; Analog/Digital Integrated Circuits and Systems; VLSI architectures; Algorithms, methods and tools for modeling, simulation, synthesis and verification of integrated circuits and systems of any complexity; Embedded systems; High-level synthesis for VLSI systems; Logic synthesis and finite automata; Testing, design-for-test and test generation algorithms; Physical design; Formal verification; Algorithms implemented in VLSI systems; Systems engineering; Heterogeneous systems.