Stability analysis of cosmological models through Lyapunov's method

被引：17
|
作者：
Charters, TC
Nunes, A
Mimoso, JP
机构：
[1] ISEL, P-1949014 Lisbon, Portugal
[2] FCUL, P-1749016 Lisbon, Portugal
[3] CFNUL, P-1649003 Lisbon, Portugal
[4] CMAF, P-1649003 Lisbon, Portugal
来源：
CLASSICAL AND QUANTUM GRAVITY | 2001年 / 18卷 / 09期
关键词：
D O I：
10.1088/0264-9381/18/9/307
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We investigate the general asymptotic behaviour of Friedman-Robertson-Walker (FRW) models with an inflaton field, scalar-tensor FRW cosmological models and diagonal Bianchi-IX models by means of Lyapunov's method. This method provides information not only about the asymptotic stability of a given equilibrium point but also about its basin of attraction. This cannot be obtained by the usual methods found in the literature, such as linear stability analysis or first-order perturbation techniques. Moreover, Lyapunov's method is also applicable to non-autonomous systems. We use this advantage to investigate the mechanism of reheating for the inflaton field in FRW models.
引用
收藏
页码：1703 / 1713
页数：11
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