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Persistence of Floquet invariant tori for a class of non-conservative dynamical systems
Author(s):
Junxiang
Xu
Journal:
Proc. Amer. Math. Soc.
135
(2007),
805-814.
MSC (2000):
Primary 34D20;
Secondary 34C05
Posted:
September 11, 2006
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Abstract:
In this paper we consider a class of non-conservative dynamical system with small perturbation. By the KAM method we prove existence of Floquet invariant tori under the weakest non-resonant conditions.
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Additional Information:
Junxiang
Xu
Affiliation:
Department of Mathematics, Southeast University, Nanjing 210096, People's Republic of China
Email:
xujun@seu.edu.cn
DOI:
10.1090/S0002-9939-06-08529-7
PII:
S 0002-9939(06)08529-7
Keywords:
KAM iteration,
invariant tori,
small divisor condition
Received by editor(s):
February 19, 2004
Received by editor(s) in revised form:
October 15, 2005.
Posted:
September 11, 2006
Additional Notes:
This paper is Project 10571027 supported by the NSFC
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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