Low-order resonances in weakly dissipative spin-orbit models

被引：3
|
作者：
Biasco, Luca [1 ]
Chierchia, Luigi [1 ]
机构：
[1] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 11期
关键词：
Periodic attractors; Celestial mechanics; Spin-orbit problem; Nearly Hamiltonian systems; Dissipative systems; DYNAMICS;
D O I：
10.1016/j.jde.2008.11.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Second-order differential equations with small nonlinearity and weak dissipation, such as the spin-orbit model of celestial mechanics, are considered. Explicit conditions for the coexistence of periodic orbits and estimates on the measure of the basins of attraction of stable periodic orbits are discussed. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：4345 / 4370
页数：26
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