{"title":"基于小波的非线性加速器问题。8不变碱基，循环和KAM","authors":"A. Fedorova, M. Zeitlin","doi":"10.1109/PAC.1999.792980","DOIUrl":null,"url":null,"abstract":"In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider variational wavelet approach for loops, invariant bases on semidirect product, KAM calculation via FWT.","PeriodicalId":20453,"journal":{"name":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","volume":"11 1","pages":"2912-2914 vol.4"},"PeriodicalIF":0.0000,"publicationDate":"1999-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear accelerator problems via wavelets. VIII. Invariant bases, loops and KAM\",\"authors\":\"A. Fedorova, M. Zeitlin\",\"doi\":\"10.1109/PAC.1999.792980\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider variational wavelet approach for loops, invariant bases on semidirect product, KAM calculation via FWT.\",\"PeriodicalId\":20453,\"journal\":{\"name\":\"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)\",\"volume\":\"11 1\",\"pages\":\"2912-2914 vol.4\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-04-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PAC.1999.792980\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 1999 Particle Accelerator Conference (Cat. No.99CH36366)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PAC.1999.792980","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nonlinear accelerator problems via wavelets. VIII. Invariant bases, loops and KAM
In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider variational wavelet approach for loops, invariant bases on semidirect product, KAM calculation via FWT.
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