BROWNIAN-MOTION FROM DETERMINISTIC DYNAMICS

被引：50

作者：

BECK, C

机构：

[1] Institut für Theoretische Physik, RWTH

来源：

PHYSICA A | 1990年 / 169卷 / 02期

关键词：

D O I：

10.1016/0378-4371(90)90173-P

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Certain deterministic dynamical systems exhibit a transition from non-Gaussian chaotic to Brownian motion behavior when a suitable scaling limit is applied. For a simple hyperbolic model system we analyze the structure of the corresponding strange attractor, determine the invariant measure and elucidate the transition scenario leading to a Gaussian stochastic process. © 1990.

引用

页码：324 / 336

页数：13

共 47 条

[1] FROM STOCHASTIC-PROCESSES TO THE HYDRODYNAMIC EQUATIONS
BECK, C
ROEPSTORFF, G
[J]. PHYSICA A, 1990, 165 (02): : 270 - 278
[2] ERGODIC PROPERTIES OF A KICKED DAMPED PARTICLE
BECK, C
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 130 (01) : 51 - 60
[3] UPPER AND LOWER BOUNDS ON THE RENYI DIMENSIONS AND THE UNIFORMITY OF MULTIFRACTALS
BECK, C
[J]. PHYSICA D, 1990, 41 (01): : 67 - 78
[4] FROM DYNAMIC-SYSTEMS TO THE LANGEVIN EQUATION
BECK, C
ROEPSTORFF, G
[J]. PHYSICA A, 1987, 145 (1-2): : 1 - 14
[5] BECK C, 1990, HIGHER CORRELATION F
[6] BECK C, 1988, THESIS RWTH AACHEN
[7] BECK C, 1990, THERMODYNAMIC FORMAL
[8] Billingsley P, 1968, CONVERGENCE PROBABIL
[9] BOHR T, 1988, DIRECTIONS CHAOS
[10] Bunimovich L. A., 1974, Theory of Probability and Its Applications, V19, P65, DOI 10.1137/1119006

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