Persistence of lower dimensional tori of general types in Hamiltonian systems
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- by Yong Li and Yingfei Yi PDF
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Abstract:
This work is a generalization to a result of J. You (1999). We study the persistence of lower dimensional tori of general type in Hamiltonian systems of general normal forms. By introducing a modified linear KAM iterative scheme to deal with small divisors, we shall prove a persistence result, under a Melnikov type of non-resonance condition, which particularly allows multiple and degenerate normal frequencies of the unperturbed lower dimensional tori.References
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Additional Information
- Yong Li
- Affiliation: Department of Mathematics, Jilin University, Changchun 130012, People’s Republic of China
- Email: ylimd@email.jlu.edu.cn
- Yingfei Yi
- Affiliation: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
- MR Author ID: 334485
- Email: yi@math.gatech.edu
- Received by editor(s): November 14, 2001
- Received by editor(s) in revised form: November 11, 2003
- Published electronically: October 5, 2004
- Additional Notes: The first author was partially supported by NSFC grant 19971042, National 973 Project of China: Nonlinearity, the outstanding young’s project of Ministry of Education of China, and National outstanding young’s award of China
The second author was partially supported by NSF grants DMS9803581 and DMS-0204119 - © Copyright 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 357 (2005), 1565-1600
- MSC (2000): Primary 37J40
- DOI: https://doi.org/10.1090/S0002-9947-04-03564-0
- MathSciNet review: 2115377