{"title":"On three dimensional point dissipative systems of differential equations with quadratic nonlinearity","authors":"A. Bose, A. Cover, J. Reneke","doi":"10.1109/SSST.1990.138193","DOIUrl":null,"url":null,"abstract":"Sufficient conditions are developed for three-dimensional quadratic systems with conservative nonlinearities to be point dissipative. The conditions are motivated geometrically. Lorenz systems are shown to fall within the class of systems studied.<<ETX>>","PeriodicalId":201543,"journal":{"name":"[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1990] Proceedings. The Twenty-Second Southeastern Symposium on System Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSST.1990.138193","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Sufficient conditions are developed for three-dimensional quadratic systems with conservative nonlinearities to be point dissipative. The conditions are motivated geometrically. Lorenz systems are shown to fall within the class of systems studied.<>