THE MIXMASTER UNIVERSE MODEL, REVISITED

被引：38
作者：
CONTOPOULOS, G
GRAMMATICOS, B
RAMANI, A
机构：
[1] UNIV FLORIDA,DEPT ASTRON,GAINESVILLE,FL 32611
[2] UNIV PARIS,LPN,F-75251 PARIS,FRANCE
[3] ECOLE POLYTECH,CPT,CNRS,UPR 14,F-91128 PALAISEAU,FRANCE
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 15期
关键词：
D O I：
10.1088/0305-4470/27/15/031
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We re-examine the singularity structure of the mixmaster universe model based on recent developments concerning the treatment of negative resonances. In a previous publication we have shown that this model satisfied the Ablowitz-Ramani-Segur test for the Painleve property. Now using a different method, called the 'perturbative Painleve approach' which involves series in both positive and negative powers of the independent variable, we find that some compatibilities related to negative resonances are not satisfied. This leaves the possibility open that the mixmaster model may be non-integrable.
引用
收藏
页码：5357 / 5361
页数：5
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