{"title":"Chua-Yang环网中的异斜周期","authors":"M. Koller, Marcell Simkó, B. Garay","doi":"10.1109/CNNA49188.2021.9610774","DOIUrl":null,"url":null,"abstract":"Heteroclinic equilibrium connections in Chua-Yang ring networks with two-parameter nearest-neighbor coupling are investigated. The dynamics is governed by the standard piecewise linear saturated activation function. We look for heteroclinic cycles created by terminating families of Hopf periodic orbits. Our approach is based on numerical experimentation supported by rigorous a posteriori mathematical arguments.","PeriodicalId":325231,"journal":{"name":"2021 17th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA)","volume":"115 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Heteroclinic cycles in Chua-Yang ring networks\",\"authors\":\"M. Koller, Marcell Simkó, B. Garay\",\"doi\":\"10.1109/CNNA49188.2021.9610774\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Heteroclinic equilibrium connections in Chua-Yang ring networks with two-parameter nearest-neighbor coupling are investigated. The dynamics is governed by the standard piecewise linear saturated activation function. We look for heteroclinic cycles created by terminating families of Hopf periodic orbits. Our approach is based on numerical experimentation supported by rigorous a posteriori mathematical arguments.\",\"PeriodicalId\":325231,\"journal\":{\"name\":\"2021 17th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA)\",\"volume\":\"115 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-09-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 17th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CNNA49188.2021.9610774\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 17th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CNNA49188.2021.9610774","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Heteroclinic equilibrium connections in Chua-Yang ring networks with two-parameter nearest-neighbor coupling are investigated. The dynamics is governed by the standard piecewise linear saturated activation function. We look for heteroclinic cycles created by terminating families of Hopf periodic orbits. Our approach is based on numerical experimentation supported by rigorous a posteriori mathematical arguments.