{"title":"有限维和无限维哈密顿系统中须状拟周期和概周期解的一种研究方法","authors":"E. Fontich, R. Llave, Y. Sire","doi":"10.3934/ERA.2009.16.9","DOIUrl":null,"url":null,"abstract":"We describe a method to study the existence of \nwhiskered quasi-periodic solutions in Hamiltonian \nsystems. \nThe method applies to finite dimensional systems \nand also to lattice systems and to PDE's including \nsome ill posed ones. \nIn coupled map lattices, we can also \nconstruct solutions of infinitely many frequencies \nwhich do not vanish asymptotically.","PeriodicalId":53151,"journal":{"name":"Electronic Research Announcements in Mathematical Sciences","volume":"16 1","pages":"9-22"},"PeriodicalIF":0.0000,"publicationDate":"2009-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"28","resultStr":"{\"title\":\"A METHOD FOR THE STUDY OF WHISKERED QUASI-PERIODIC AND ALMOST-PERIODIC SOLUTIONS IN FINITE AND INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS\",\"authors\":\"E. Fontich, R. Llave, Y. Sire\",\"doi\":\"10.3934/ERA.2009.16.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe a method to study the existence of \\nwhiskered quasi-periodic solutions in Hamiltonian \\nsystems. \\nThe method applies to finite dimensional systems \\nand also to lattice systems and to PDE's including \\nsome ill posed ones. \\nIn coupled map lattices, we can also \\nconstruct solutions of infinitely many frequencies \\nwhich do not vanish asymptotically.\",\"PeriodicalId\":53151,\"journal\":{\"name\":\"Electronic Research Announcements in Mathematical Sciences\",\"volume\":\"16 1\",\"pages\":\"9-22\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"28\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic Research Announcements in Mathematical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3934/ERA.2009.16.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Research Announcements in Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/ERA.2009.16.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
A METHOD FOR THE STUDY OF WHISKERED QUASI-PERIODIC AND ALMOST-PERIODIC SOLUTIONS IN FINITE AND INFINITE DIMENSIONAL HAMILTONIAN SYSTEMS
We describe a method to study the existence of
whiskered quasi-periodic solutions in Hamiltonian
systems.
The method applies to finite dimensional systems
and also to lattice systems and to PDE's including
some ill posed ones.
In coupled map lattices, we can also
construct solutions of infinitely many frequencies
which do not vanish asymptotically.
期刊介绍：
Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication.
ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007
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