Publication: On first integrals for some non-autonomous Lienard-type equations
Дата
2019
Авторы
Sinelshchikov, D. I.
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Аннотация
© 2019 Author(s).In this work we consider a family of non-autonomous second-order differential equations. We show that with the help of the connections, given by the generalized Sundman transformations, between this family of equations and equations of Painlevé- Gambier type, one can construct first integrals for members of the considered family of equations. We demonstrate applications of this approach by providing several examples of non-autonomous Liénard-type equations which admit certain first integrals.
Описание
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Цитирование
Sinelshchikov, D. I. On first integrals for some non-autonomous Lienard-type equations / Sinelshchikov, D.I. // AIP Conference Proceedings. - 2019. - 2116. - 10.1063/1.5114283
URI
https://www.doi.org/10.1063/1.5114283
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https://www.scopus.com/record/display.uri?eid=2-s2.0-85069954031&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000521108600279
https://openrepository.mephi.ru/handle/123456789/18451