{"title":"神经动力学系统和李雅普诺夫指数","authors":"I. Dano","doi":"10.1109/CARPATHIANCC.2012.6228624","DOIUrl":null,"url":null,"abstract":"The neurodynamical model of recurrent networks in this paper is approached from an engineering perspective, i.e. to make networks efficient in terms of topology and capture dynamics of time-varying systems. Neural dynamics in that case can be considered from two aspects, convergence of state variables (memory recall) and the number, position, local stability and domains of attraction of equilibrium states (memory capacity). The purpose of this work is to investigate some relationship between Lyapunov exponents and the recurrent neural network model described by the concrete system of delay-differential equations.","PeriodicalId":334936,"journal":{"name":"Proceedings of the 13th International Carpathian Control Conference (ICCC)","volume":"91 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Neurodynamic systems and Lyapunov exponents\",\"authors\":\"I. Dano\",\"doi\":\"10.1109/CARPATHIANCC.2012.6228624\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The neurodynamical model of recurrent networks in this paper is approached from an engineering perspective, i.e. to make networks efficient in terms of topology and capture dynamics of time-varying systems. Neural dynamics in that case can be considered from two aspects, convergence of state variables (memory recall) and the number, position, local stability and domains of attraction of equilibrium states (memory capacity). The purpose of this work is to investigate some relationship between Lyapunov exponents and the recurrent neural network model described by the concrete system of delay-differential equations.\",\"PeriodicalId\":334936,\"journal\":{\"name\":\"Proceedings of the 13th International Carpathian Control Conference (ICCC)\",\"volume\":\"91 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 13th International Carpathian Control Conference (ICCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CARPATHIANCC.2012.6228624\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 13th International Carpathian Control Conference (ICCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CARPATHIANCC.2012.6228624","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The neurodynamical model of recurrent networks in this paper is approached from an engineering perspective, i.e. to make networks efficient in terms of topology and capture dynamics of time-varying systems. Neural dynamics in that case can be considered from two aspects, convergence of state variables (memory recall) and the number, position, local stability and domains of attraction of equilibrium states (memory capacity). The purpose of this work is to investigate some relationship between Lyapunov exponents and the recurrent neural network model described by the concrete system of delay-differential equations.