期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 387, 期 2, 页码 776-790出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2011.09.030
关键词
Reversible systems; KAM iteration; Degenerate lower dimensional tori
资金
- Scientific Research Foundation of Huaiyin Institute of Technology [HGC0922]
- National Natural Science Foundation of China [10826035, 11001048]
- Specialized Research Fund for the Doctoral Program of Higher Education for New Teachers [200802861043]
In this paper we prove the persistence of lower dimensional invariant tori with prescribed frequencies and singular normal matrices in reversible systems. The normal variable is two-dimensional and the unperturbed nonlinear terms in the differential equation for this variable have a special structure. (C) 2011 Elsevier Inc. All rights reserved.
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