{"title":"构造油藏计算分岔图","authors":"Xiaolu Chen , Tongfeng Weng , Zhuoming Ren , Huijie Yang","doi":"10.1016/j.physa.2025.130914","DOIUrl":null,"url":null,"abstract":"<div><div>We introduce a data-driven synchronization approach to construct the dynamical transition of reservoir computing. Specifically, we design a scheme composed of three identically coupled reservoir computers and each of them has learned the underlying chaotic information of a considered system. After realizing synchronization among these reservoir computers, we find that the bifurcation diagram of reservoir computing can be fully constructed by varying the leaking rate. Numerical results on several chaotic systems have further confirmed the effectiveness of our method. Our findings provide a new perspective on studying the internal dynamics of reservoir computing, paving the way for further practical applications.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"677 ","pages":"Article 130914"},"PeriodicalIF":3.1000,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Constructing bifurcation diagram of reservoir computing\",\"authors\":\"Xiaolu Chen , Tongfeng Weng , Zhuoming Ren , Huijie Yang\",\"doi\":\"10.1016/j.physa.2025.130914\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We introduce a data-driven synchronization approach to construct the dynamical transition of reservoir computing. Specifically, we design a scheme composed of three identically coupled reservoir computers and each of them has learned the underlying chaotic information of a considered system. After realizing synchronization among these reservoir computers, we find that the bifurcation diagram of reservoir computing can be fully constructed by varying the leaking rate. Numerical results on several chaotic systems have further confirmed the effectiveness of our method. Our findings provide a new perspective on studying the internal dynamics of reservoir computing, paving the way for further practical applications.</div></div>\",\"PeriodicalId\":20152,\"journal\":{\"name\":\"Physica A: Statistical Mechanics and its Applications\",\"volume\":\"677 \",\"pages\":\"Article 130914\"},\"PeriodicalIF\":3.1000,\"publicationDate\":\"2025-08-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physica A: Statistical Mechanics and its Applications\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0378437125005667\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica A: Statistical Mechanics and its Applications","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378437125005667","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Constructing bifurcation diagram of reservoir computing
We introduce a data-driven synchronization approach to construct the dynamical transition of reservoir computing. Specifically, we design a scheme composed of three identically coupled reservoir computers and each of them has learned the underlying chaotic information of a considered system. After realizing synchronization among these reservoir computers, we find that the bifurcation diagram of reservoir computing can be fully constructed by varying the leaking rate. Numerical results on several chaotic systems have further confirmed the effectiveness of our method. Our findings provide a new perspective on studying the internal dynamics of reservoir computing, paving the way for further practical applications.
期刊介绍:
Physica A: Statistical Mechanics and its Applications
Recognized by the European Physical Society
Physica A publishes research in the field of statistical mechanics and its applications.
Statistical mechanics sets out to explain the behaviour of macroscopic systems by studying the statistical properties of their microscopic constituents.
Applications of the techniques of statistical mechanics are widespread, and include: applications to physical systems such as solids, liquids and gases; applications to chemical and biological systems (colloids, interfaces, complex fluids, polymers and biopolymers, cell physics); and other interdisciplinary applications to for instance biological, economical and sociological systems.