LYAPUNOV EXPONENTS FOR ONE-DIMENSIONAL CELLULAR AUTOMATA

被引：69

作者：

SHERESHEVSKY, MA

机构：

[1] Mathematics Institute, University of Warwick, Coventry

来源：

JOURNAL OF NONLINEAR SCIENCE | 1992年 / 2卷 / 01期

关键词：

CELLULAR AUTOMATON; ENTROPY; INVARIANT MEASURE; LYAPUNOV EXPONENTS;

D O I：

10.1007/BF02429850

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper we give a mathematical definition of the left and right Lyapunov exponents for a one-dimensional cellular automaton (CA). We establish an inequality between the Lyapunov exponents and entropies (spatial and temporal).

引用

页码：1 / 8

页数：8

共 22 条

[1]

AFRAIMOVICH VS, 1990, NONLINEAR WAVES, V3, P296

[2]

[Anonymous], 1966, THEORY SELF REPRODUC

[3]

BOWEN R, 1975, LECTURE NOTES MATH, V470

[4]

BRIN M, 1983, LECT NOTES MATH, V470, P30

[5]

Coven E.M., 1974, MATH SYST THEORY, V8, P165

[6] DETERMINISTIC ISING DYNAMICS [J].

CREUTZ, M .

ANNALS OF PHYSICS, 1986, 167 (01) :62-72

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

ECKMANN, JP ;

RUELLE, D .

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

[8]

GILMAN RH, 1987, ERGOD THEOR DYN SYST, V7, P105

[9] PATTERN FORMATION AND PERIODIC STRUCTURES IN SYSTEMS MODELED BY REACTION-DIFFUSION EQUATIONS [J].

GREENBERG, JM ;

HASSARD, BD ;

HASTINGS, SP .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 84 (06) :1296-1327

[10]

Hedlund GA., 1969, MATH SYST THEORY, V3, P320, DOI [10.1007/BF01691062, DOI 10.1007/BF01691062]

← 1 2 3 →