{"title":"Lotka-Volterra Systems with Periodic Orbits","authors":"Manami Kobayashi, Takashi Suzuki, Yoshio Yamada","doi":"10.1619/FESI.62.129","DOIUrl":null,"url":null,"abstract":"Lotka-Volterra systems associated with skew-symmetric interaction between species are studied. We pick up some form of this model provided with conserved quantities, which makes all the solutions to be periodic-in-time except for the equilibrium. This class is explicitly given by a set of algebraic conditions on coe‰cients. If the system takes N components, we have 2N 3 and 2N 1 degrees of freedom without and with linear terms, respectively.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1619/FESI.62.129","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1619/FESI.62.129","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
Lotka-Volterra systems associated with skew-symmetric interaction between species are studied. We pick up some form of this model provided with conserved quantities, which makes all the solutions to be periodic-in-time except for the equilibrium. This class is explicitly given by a set of algebraic conditions on coe‰cients. If the system takes N components, we have 2N 3 and 2N 1 degrees of freedom without and with linear terms, respectively.
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