The mixmaster universe is chaotic

被引：112

作者：

Cornish, NJ ^{[1
]}

Levin, JJ ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY,CTR PARTICLE ASTROPHYS,BERKELEY,CA 94720

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 06期

关键词：

D O I：

10.1103/PhysRevLett.78.998

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For the past decade there has been a considerable debate about the existence of chaos in the mixmaster cosmological model. The debate has been hampered by the coordinate, or observer, dependence of standard chaotic indicators such as Lyapunov exponents. Here we use coordinate-independent, fractal methods to show the mixmaster universe is indeed chaotic.

引用

页码：998 / 1001

页数：4

共 34 条

[1]

[Anonymous], 1993, CHAOS DYNAMICAL SYST

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

BARROW, JD .

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

[3] CHAOS IN THE EINSTEIN EQUATIONS [J].

BARROW, JD .

PHYSICAL REVIEW LETTERS, 1981, 46 (15) :963-966

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

BELINSKI.VA ;

KHALATNI.IM ;

LIFSHITZ, EM .

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

[5] A GENERAL-SOLUTION OF THE EINSTEIN EQUATIONS WITH A TIME SINGULARITY [J].

BELINSKII, VA ;

KHALATNIKOV, IM ;

LIFSHITZ, EM .

ADVANCES IN PHYSICS, 1982, 31 (06) :639-667

[6] NOTE ON TIME REVERSIBLE CHAOS IN MIXMASTER DYNAMICS [J].

BERGER, BK .

PHYSICAL REVIEW D, 1993, 47 (08) :3222-3228

[7] COMMENTS ON THE COMPUTATION OF LIAPUNOV EXPONENTS FOR THE MIXMASTER UNIVERSE [J].

BERGER, BK .

GENERAL RELATIVITY AND GRAVITATION, 1991, 23 (12) :1385-1402

[8] CHARACTERIZATION OF UNSTABLE PERIODIC-ORBITS IN CHAOTIC ATTRACTORS AND REPELLERS [J].

BIHAM, O ;

WENZEL, W .

PHYSICAL REVIEW LETTERS, 1989, 63 (08) :819-822

[9] BIFURCATION TO CHAOTIC SCATTERING [J].

BLEHER, S ;

GREBOGI, C ;

OTT, E .

PHYSICA D, 1990, 46 (01) :87-121

[10] THE ENTROPY FUNCTION FOR CHARACTERISTIC EXPONENTS [J].

BOHR, T ;

RAND, D .

PHYSICA D, 1987, 25 (1-3) :387-398

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