{"title":"Simple memristive chaotic systems with complex dynamics","authors":"","doi":"10.1016/j.vlsi.2024.102301","DOIUrl":null,"url":null,"abstract":"<div><div>The exploration of memristive chaotic systems (MCSs) has been a prominent area of research due to the inherent richness of their dynamical characteristics. The objective of this paper is to propose two chaotic systems, derived from a common basic system, which also exhibit distinct characteristics such as coexisting attractors and robustness of chaos while maintaining the common attributes of multi-parameter amplitude modulation and large-scale offset boosting. The evolution process of MCSs' dynamical behavior with changes to parameters and initial values is described in detail through the analysis of bifurcation diagrams, Lyapunov exponents (LEs), and phase projections. Furthermore, the findings of the numerical simulations are validated by circuit implementations, thereby providing additional confirmation of the existence of the two memristive chaotic systems constructed and their potential for practical applications.</div></div>","PeriodicalId":54973,"journal":{"name":"Integration-The Vlsi Journal","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2024-11-05","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/S0167926024001652","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}
引用次数: 0
Abstract
The exploration of memristive chaotic systems (MCSs) has been a prominent area of research due to the inherent richness of their dynamical characteristics. The objective of this paper is to propose two chaotic systems, derived from a common basic system, which also exhibit distinct characteristics such as coexisting attractors and robustness of chaos while maintaining the common attributes of multi-parameter amplitude modulation and large-scale offset boosting. The evolution process of MCSs' dynamical behavior with changes to parameters and initial values is described in detail through the analysis of bifurcation diagrams, Lyapunov exponents (LEs), and phase projections. Furthermore, the findings of the numerical simulations are validated by circuit implementations, thereby providing additional confirmation of the existence of the two memristive chaotic systems constructed and their potential for practical applications.
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.
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