{"title":"多参数共振情况下近自治哈密顿系统非线性振动的研究","authors":"O. Kholostova","doi":"10.1109/STAB49150.2020.9140709","DOIUrl":null,"url":null,"abstract":"The motion of a near-autonomous, time-periodic two-degree-of-freedom Hamiltonian system in the vicinity of the trivial equilibrium is considered. Nonlinear oscillations of the system in two cases of multiple parametric resonances are studied.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"48 23","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Investigation of nonlinear oscillations of near-autonomous Hamiltonian systems in the cases of multiple parametric resonances\",\"authors\":\"O. Kholostova\",\"doi\":\"10.1109/STAB49150.2020.9140709\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The motion of a near-autonomous, time-periodic two-degree-of-freedom Hamiltonian system in the vicinity of the trivial equilibrium is considered. Nonlinear oscillations of the system in two cases of multiple parametric resonances are studied.\",\"PeriodicalId\":166223,\"journal\":{\"name\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"volume\":\"48 23\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/STAB49150.2020.9140709\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STAB49150.2020.9140709","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Investigation of nonlinear oscillations of near-autonomous Hamiltonian systems in the cases of multiple parametric resonances
The motion of a near-autonomous, time-periodic two-degree-of-freedom Hamiltonian system in the vicinity of the trivial equilibrium is considered. Nonlinear oscillations of the system in two cases of multiple parametric resonances are studied.
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