{"title":"通过还原和平均法求得二维对称哈密顿系统中的周期解","authors":"M. Uribe, J. Vidarte, D. Carrasco","doi":"10.1080/14689367.2024.2349563","DOIUrl":null,"url":null,"abstract":"We study a type of perturbed polynomial Hamiltonian system in 1:1 resonance. The perturbation consists of a homogeneous quartic potential invariant by rotations of π/2 radians. The existence of per...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"9 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Periodic solutions in a 2D-symmetric Hamiltonian system through reduction and averaging method\",\"authors\":\"M. Uribe, J. Vidarte, D. Carrasco\",\"doi\":\"10.1080/14689367.2024.2349563\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study a type of perturbed polynomial Hamiltonian system in 1:1 resonance. The perturbation consists of a homogeneous quartic potential invariant by rotations of π/2 radians. The existence of per...\",\"PeriodicalId\":501586,\"journal\":{\"name\":\"Dynamical Systems\",\"volume\":\"9 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Dynamical Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/14689367.2024.2349563\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dynamical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/14689367.2024.2349563","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Periodic solutions in a 2D-symmetric Hamiltonian system through reduction and averaging method
We study a type of perturbed polynomial Hamiltonian system in 1:1 resonance. The perturbation consists of a homogeneous quartic potential invariant by rotations of π/2 radians. The existence of per...
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