Invariant curves of quasi-periodic reversible mappings

被引：33

作者：

Liu, B ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

NONLINEARITY | 2005年 / 18卷 / 02期

关键词：

D O I：

10.1088/0951-7715/18/2/012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with the existence of invariant curves of planar reversible mappings which are quasi-periodic in one of the spatial variables. As applications, we will study the existence of quasi-periodic solutions and the boundedness of solutions for a pendulum-type equation and an asymmetric oscillator depending quasi-periodically on time.

引用

页码：685 / 701

页数：17

共 16 条

[11] Asymmetric oscillators and twist mappings
Ortega, R
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1996, 53 : 325 - 342
[12] Boundedness in a piecewise linear oscillator and a variant of the small twist theorem
Ortega, R
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1999, 79 : 381 - 413
[13] Ortega R., 2001, ADV NONLINEAR STUD, V1, P14
[14] Sevryuk M., 1986, REVERSIBLE SYSTEMS, V1211
[15] Siegel C, 1997, LECT CELESTIAL MECH
[16] Invariant curve theorem for quasiperiodic twist mappings and stability of motion in the Fermi-Ulam problem
Zharnitsky, V
[J]. NONLINEARITY, 2000, 13 (04) : 1123 - 1136

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