CHAOS, ENTROPY AND COSMOLOGY

被引：21

作者：

BURD, AB ^{[1
]}

BURIC, N ^{[1
]}

TAVAKOL, RK ^{[1
]}

机构：

[1] INST THEORET PHYS, BELGRADE, YUGOSLAVIA

来源：

CLASSICAL AND QUANTUM GRAVITY | 1991年 / 8卷 / 01期

关键词：

D O I：

10.1088/0264-9381/8/1/014

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Customarily the dynamical behaviour of the Bianchi IX model is studied either directly, i.e. numerically, or indirectly by approximating it to a map which is conducive to analytical treatment. These studies have given rise to results that appear somewhat incongruent. Here we clarify the relationship between these two treatments by firstly clearing the status of chaos in each setting and secondly by studying the possibility of the increase in entropy in each case.

引用

收藏

页码：123 / 133

页数：11

相关论文

共 22 条

[1]

BABENKO KI, 1978, SOV MATH DOKL, V19, P136

[2] CHAOTIC BEHAVIOR IN GENERAL-RELATIVITY [J].

BARROW, JD .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1982, 85 (01) :1-49

[3] OSCILLATORY APPROACH TO A SINGULAR POINT IN RELATIVISTIC COSMOLOGY [J].

BELINSKI.VA ;

KHALATNI.IM ;

LIFSHITZ, EM .

ADVANCES IN PHYSICS, 1970, 19 (80) :525-&

[4] NUMERICAL STUDY OF INITIALLY EXPANDING MIXMASTER UNIVERSES [J].

BERGER, BK .

CLASSICAL AND QUANTUM GRAVITY, 1990, 7 (02) :203-216

[5] A NUMERICAL-ANALYSIS OF CHAOTIC BEHAVIOR IN BIANCHI IX MODELS [J].

BURD, AB ;

BURIC, N ;

ELLIS, GFR .

GENERAL RELATIVITY AND GRAVITATION, 1990, 22 (03) :349-363

[6] ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].

ECKMANN, JP ;

RUELLE, D .

REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656

[7] QUALITATIVE AND NUMERICAL STUDY OF BIANCHI-IX MODELS [J].

FRANCISCO, G ;

MATSAS, GEA .

GENERAL RELATIVITY AND GRAVITATION, 1988, 20 (10) :1047-1054

[8] CHAOS IN THE LONG-TERM BEHAVIOR OF SOME BIANCHI-TYPE-VIII MODELS [J].

HALPERN, P .

GENERAL RELATIVITY AND GRAVITATION, 1987, 19 (01) :73-94

[9]

HOBILL D, 1989, 12TH P INT C GEN REL, P337

[10] ON THE STOCHASTICITY IN RELATIVISTIC COSMOLOGY [J].

KHALATNIKOV, IM ;

LIFSHITZ, EM ;

KHANIN, KM ;

SHCHUR, LN ;

SINAI, YG .

JOURNAL OF STATISTICAL PHYSICS, 1985, 38 (1-2) :97-114