{"title":"封面图片,第6卷第3期,2026年9月","authors":"","doi":"10.1002/msd2.70097","DOIUrl":null,"url":null,"abstract":"<p>Biological fractal dynamics inspire a new route to analog fractional-order circuit design. Bridging biological systems and electronic architectures, an operator-based framework uses the force–electricity analogy to approximate fractional-order behavior with conventional integer-order components. This approach connects the memory and nonlocal effects described by fractional calculus with the physical construction of circuit systems. Supported by theoretical analysis and circuit simulations, it reveals the intrinsic relationship between fractal operators and fractional-order circuits, offering a systematic foundation for the design of high-performance, integrable fractal circuits.\n <figure>\n <div><picture>\n <source></source></picture><p></p>\n </div>\n </figure></p>","PeriodicalId":60486,"journal":{"name":"国际机械系统动力学学报(英文)","volume":"6 3","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/msd2.70097","citationCount":"0","resultStr":"{\"title\":\"Cover Image, Volume 6, Number 3, September 2026\",\"authors\":\"\",\"doi\":\"10.1002/msd2.70097\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Biological fractal dynamics inspire a new route to analog fractional-order circuit design. Bridging biological systems and electronic architectures, an operator-based framework uses the force–electricity analogy to approximate fractional-order behavior with conventional integer-order components. This approach connects the memory and nonlocal effects described by fractional calculus with the physical construction of circuit systems. Supported by theoretical analysis and circuit simulations, it reveals the intrinsic relationship between fractal operators and fractional-order circuits, offering a systematic foundation for the design of high-performance, integrable fractal circuits.\\n <figure>\\n <div><picture>\\n <source></source></picture><p></p>\\n </div>\\n </figure></p>\",\"PeriodicalId\":60486,\"journal\":{\"name\":\"国际机械系统动力学学报(英文)\",\"volume\":\"6 3\",\"pages\":\"\"},\"PeriodicalIF\":3.6000,\"publicationDate\":\"2026-10-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1002/msd2.70097\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"国际机械系统动力学学报(英文)\",\"FirstCategoryId\":\"1087\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/msd2.70097\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"国际机械系统动力学学报(英文)","FirstCategoryId":"1087","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/msd2.70097","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Biological fractal dynamics inspire a new route to analog fractional-order circuit design. Bridging biological systems and electronic architectures, an operator-based framework uses the force–electricity analogy to approximate fractional-order behavior with conventional integer-order components. This approach connects the memory and nonlocal effects described by fractional calculus with the physical construction of circuit systems. Supported by theoretical analysis and circuit simulations, it reveals the intrinsic relationship between fractal operators and fractional-order circuits, offering a systematic foundation for the design of high-performance, integrable fractal circuits.