DENSITY OF DEFECTS AND SPATIAL ENTROPY IN EXTENDED SYSTEMS

被引：21

作者：

AFRAIMOVICH, VS ^{[1
]}

BUNIMOVICH, LA ^{[1
]}

机构：

[1] GEORGIA INST TECHNOL,SCH MATH,ATLANTA,GA 30332

来源：

PHYSICA D | 1995年 / 80卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0167-2789(94)00182-P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a distribution of defects in the spatial structures of nonlinear fields, For some classes of lattice systems it is shown that a critical density of defects is inversely proportional to a logarithm of a nonlinearity (energy pumping). The relation between the density of defects and the topological entropy of spatial structures of the field is also obtained.

引用

页码：277 / 288

页数：12

共 22 条

[1] TRAVELING WAVES IN LATTICE MODELS OF MULTIDIMENSIONAL AND MULTICOMPONENT MEDIA .1. GENERAL HYPERBOLIC PROPERTIES [J].

AFRAIMOVICH, V ;

PESIN, Y .

NONLINEARITY, 1993, 6 (03) :429-455

[2]

AFRAIMOVICH VS, STABILITY STRUCTURE

[3]

AFRAIMOVICH VS, 1993, RANDOM COMPUT DYN, V1, P423

[4]

AFRAIMOVICH VS, 1993, CDSNS93142 PREPR

[5]

AFRAIMOVICH VS, 1993, WORKSHOP DYNAMICAL S, P1

[6]

AFRAIMOVICH VS, 1992, STABILITY STATIONARY

[7]

ALEKSEEV VM, 1976, 11 SUMM SCH AC SCI U

[8]

ARTUSO R, 1991, CHAOS ORDER PATTERNS

[9] Spacetime chaos in coupled map lattices [J].

Bunimovich, L. A. ;

Sinai, Ya G. .

NONLINEARITY, 1988, 1 (04) :491-516

[10]

BUNIMOVICH LA, 1993, IN PRESS 1993 P GRAN

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