{"title":"一阶各向异性哈密顿系统最小周期对称制动轨道","authors":"Xiao Fei Zhang, Fan Jing Wang","doi":"10.1007/s10114-024-2441-6","DOIUrl":null,"url":null,"abstract":"<div><p>Via the homology link theorem and the <i>L</i><sub>0</sub>-index theory, symmetric brake orbits with minimal period are ensured for first-order Hamiltonian systems under anisotropic growth assumptions, which are variant forms of sub-quadratic growth conditions.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 12","pages":"3079 - 3092"},"PeriodicalIF":0.8000,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Symmetric Brake Orbits with Minimal Period of First-order Anisotropic Hamiltonian Systems\",\"authors\":\"Xiao Fei Zhang, Fan Jing Wang\",\"doi\":\"10.1007/s10114-024-2441-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Via the homology link theorem and the <i>L</i><sub>0</sub>-index theory, symmetric brake orbits with minimal period are ensured for first-order Hamiltonian systems under anisotropic growth assumptions, which are variant forms of sub-quadratic growth conditions.</p></div>\",\"PeriodicalId\":50893,\"journal\":{\"name\":\"Acta Mathematica Sinica-English Series\",\"volume\":\"40 12\",\"pages\":\"3079 - 3092\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-12-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Sinica-English Series\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10114-024-2441-6\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Sinica-English Series","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10114-024-2441-6","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Symmetric Brake Orbits with Minimal Period of First-order Anisotropic Hamiltonian Systems
Via the homology link theorem and the L0-index theory, symmetric brake orbits with minimal period are ensured for first-order Hamiltonian systems under anisotropic growth assumptions, which are variant forms of sub-quadratic growth conditions.
期刊介绍：
Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.
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