{"title":"Lorenz’s state equations as RC filters","authors":"Isaac Campos-Cantón","doi":"10.1016/j.vlsi.2024.102284","DOIUrl":null,"url":null,"abstract":"<div><div>In this study, the Lorenz system electronic implementation is performed using an <span><math><mrow><mi>R</mi><mi>C</mi></mrow></math></span> low-pass filter within the <span><math><mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow></math></span> state equations. This electronic development shows that it is possible to know for each state the cutoff frequency. The bifurcation diagram for each state is shown as a function of cutoff frequency. Simulation results support this suggestion.</div></div>","PeriodicalId":54973,"journal":{"name":"Integration-The Vlsi Journal","volume":"100 ","pages":"Article 102284"},"PeriodicalIF":2.2000,"publicationDate":"2024-09-23","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/S0167926024001482","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
In this study, the Lorenz system electronic implementation is performed using an low-pass filter within the state equations. This electronic development shows that it is possible to know for each state the cutoff frequency. The bifurcation diagram for each state is shown as a function of cutoff frequency. Simulation results support this suggestion.
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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