Quasi-periodic motions in strongly dissipative forced systems

被引:32
作者
Gentile, Guido [1 ]
机构
[1] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy
关键词
BOREL SUMMABILITY; SERIES;
D O I
10.1017/S0143385709000583
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a class of ordinary differential equations describing one-dimensional systems with a quasi-periodic forcing term and in the presence of large damping. We discuss the conditions to be assumed on the mechanical force and the forcing term for the existence of quasi-periodic solutions which have the same frequency vector as the forcing.
引用
收藏
页码:1457 / 1469
页数:13
相关论文
共 20 条
  • [1] [Anonymous], 1973, GRAPHICAL ENUMERATIO
  • [2] [Anonymous], 2004, TEXT MONOGR
  • [3] Globally and locally attractive solutions for quasi-periodic ally forced systems
    Bartuccelli, Michele V.
    Deane, Jonathan H. B.
    Gentile, Guido
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) : 699 - 714
  • [4] Invariant sets for the varactor equation
    Bartuccelli, MV
    Deane, JHB
    Gentile, G
    Marsh, L
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2006, 462 (2066): : 439 - 457
  • [5] Bollobas B., 1979, GRADUATE TEXTS MATH, V63
  • [6] Brjuno A.D., 1972, Tr. Mosk. Mat. Obsc., V26, P199
  • [7] Broer H. W., 1996, Quasi-Periodic Motions in Families of Dynamical Systems: Order amidst Chaos
  • [8] Melnikov theory to all orders and Puiseux series for subharmonic solutions
    Corsi, Livia
    Gentile, Guido
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (11)
  • [9] Borel summability and Lindstedt series
    Costin, O.
    Gallavotti, G.
    Gentile, G.
    Giuliani, A.
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 269 (01) : 175 - 193
  • [10] A normal form theorem for Brjuno skew systems through renormalization
    Dias, Joao Lopes
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 230 (01) : 1 - 23