{"title":"李群的Tulczyjew三重态III:迭代束的高阶动力学和约简","authors":"Ougul Esen, H. Gumral, S. Sutlu","doi":"10.2298/TAM210312009E","DOIUrl":null,"url":null,"abstract":"Given a Lie group G, we elaborate the dynamics on T+T+G and T+TG,\n which is given by a Hamiltonian, as well as the dynamics on the Tulczyjew\n symplectic space TT+G, which may be defined by a Lagrangian or a\n Hamiltonian function. As the trivializations we adapted respect the group\n structures of the iterated bundles, we exploit all possible subgroup\n reductions (Poisson, symplectic or both) of higher order dynamics.","PeriodicalId":44059,"journal":{"name":"Theoretical and Applied Mechanics","volume":"1 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2021-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Tulczyjew’s triplet for lie groups III: Higher order dynamics and reductions for iterated bundles\",\"authors\":\"Ougul Esen, H. Gumral, S. Sutlu\",\"doi\":\"10.2298/TAM210312009E\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Given a Lie group G, we elaborate the dynamics on T+T+G and T+TG,\\n which is given by a Hamiltonian, as well as the dynamics on the Tulczyjew\\n symplectic space TT+G, which may be defined by a Lagrangian or a\\n Hamiltonian function. As the trivializations we adapted respect the group\\n structures of the iterated bundles, we exploit all possible subgroup\\n reductions (Poisson, symplectic or both) of higher order dynamics.\",\"PeriodicalId\":44059,\"journal\":{\"name\":\"Theoretical and Applied Mechanics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-02-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theoretical and Applied Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/TAM210312009E\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Applied Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/TAM210312009E","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Tulczyjew’s triplet for lie groups III: Higher order dynamics and reductions for iterated bundles
Given a Lie group G, we elaborate the dynamics on T+T+G and T+TG,
which is given by a Hamiltonian, as well as the dynamics on the Tulczyjew
symplectic space TT+G, which may be defined by a Lagrangian or a
Hamiltonian function. As the trivializations we adapted respect the group
structures of the iterated bundles, we exploit all possible subgroup
reductions (Poisson, symplectic or both) of higher order dynamics.
期刊介绍:
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