{"title":"非平衡系统中的驻波定域方阵","authors":"H. Sakaguchi, H. Brand","doi":"10.1051/JP2:1997188","DOIUrl":null,"url":null,"abstract":"Stable standing wave localized solutions of square symmetry are possible for a quintic Swift-Hohenberg type equation with complex coefficients. We point out that these localized solutions, which are surrounded by a pattern-free state exist for a range of values for the external stress parameter subcritically. We discuss similarities to recent experimental observations of standing wave localized squares in granular materials","PeriodicalId":14774,"journal":{"name":"Journal De Physique Ii","volume":"28 1","pages":"1325-1330"},"PeriodicalIF":0.0000,"publicationDate":"1997-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Standing Wave Localized Squares in Pattern-Forming Nonequilibrium Systems\",\"authors\":\"H. Sakaguchi, H. Brand\",\"doi\":\"10.1051/JP2:1997188\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Stable standing wave localized solutions of square symmetry are possible for a quintic Swift-Hohenberg type equation with complex coefficients. We point out that these localized solutions, which are surrounded by a pattern-free state exist for a range of values for the external stress parameter subcritically. We discuss similarities to recent experimental observations of standing wave localized squares in granular materials\",\"PeriodicalId\":14774,\"journal\":{\"name\":\"Journal De Physique Ii\",\"volume\":\"28 1\",\"pages\":\"1325-1330\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal De Physique Ii\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1051/JP2:1997188\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal De Physique Ii","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1051/JP2:1997188","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Standing Wave Localized Squares in Pattern-Forming Nonequilibrium Systems
Stable standing wave localized solutions of square symmetry are possible for a quintic Swift-Hohenberg type equation with complex coefficients. We point out that these localized solutions, which are surrounded by a pattern-free state exist for a range of values for the external stress parameter subcritically. We discuss similarities to recent experimental observations of standing wave localized squares in granular materials