Invariant curves of quasi-periodic reversible mappings

被引：32

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 50 条

[31] Stochastic modeling of kHz quasi-periodic oscillation light curves
Vio, R.
Rebusco, P.
Andreani, P.
Madsen, H.
Overgaard, R. V.
ASTRONOMY & ASTROPHYSICS, 2006, 452 (02) : 383 - U19
[32] The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems
LIU Bin Laboratory of Mathematics and its Applications School of Mathematical Sciences Peking University Beijing 100871China
Science China Mathematics, 2010, (01) : 125 - 136
[33] The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems
Bin Liu
Science in China Series A: Mathematics, 2010, 53 : 125 - 136
[34] Numerical computation of rotation numbers of quasi-periodic planar curves
Luque, Alejandro
Villanueva, Jordi
PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (20) : 2025 - 2044
[35] The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems
LIU Bin Laboratory of Mathematics and its Applications School of Mathematical Sciences Peking University Beijing China
ScienceinChina(SeriesA:Mathematics), 2010, 53 (01) : 125 - 136
[36] Quasi-periodic gratings: diffraction orders accelerate along curves
Gao, Nan
Li, Hailiang
Zhu, Xiaoli
Hua, Yilei
Xie, Changqing
OPTICS LETTERS, 2013, 38 (15) : 2829 - 2831
[37] QUASI-PERIODIC SOLUTIONS OF DISSIPATIVE SYSTEMS WITH QUASI-PERIODIC COEFFICIENTS
CHEBAN, DN
DIFFERENTIAL EQUATIONS, 1986, 22 (02) : 200 - 209
[38] INVARIANT CURVES FOR MAPPINGS
SMITH, HL
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (05) : 1053 - 1067
[39] The stability of equilibrium of quasi-periodic planar Hamiltonian and reversible systems
Liu Bin
SCIENCE CHINA-MATHEMATICS, 2010, 53 (01) : 125 - 136
[40] QUASI-PERIODIC SOLUTIONS OF QUASI-PERIODIC DIFFERENTIAL-EQUATIONS
BALBI, JH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (02) : 490 - 496

← 1 2 3 4 5 →