STATISTICAL-MECHANICS OF DETERMINISTIC CHAOS - THE CASE OF ONE-DIMENSIONAL DISCRETE PROCESS

被引:41
作者
KAI, T [1 ]
TOMITA, K [1 ]
机构
[1] KYOTO UNIV,DEPT PHYS,KYOTO 606,JAPAN
来源
PROGRESS OF THEORETICAL PHYSICS | 1980年 / 64卷 / 05期
关键词
D O I
10.1143/PTP.64.1532
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
引用
收藏
页码:1532 / 1550
页数:19
相关论文
共 30 条
[1]   TOPOLOGICAL ENTROPY [J].
ADLER, RL ;
KONHEIM, AG ;
MCANDREW, MH .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 114 (02) :309-&
[2]  
Arnold V., 1968, ERGODIC PROBLEMS CLA, P6
[3]  
BILLINGSLEY P, 1965, ERGODIC THEORY THEOR
[4]   ERGODIC THEORY OF AXIOM A FLOWS [J].
BOWEN, R ;
RUELLE, D .
INVENTIONES MATHEMATICAE, 1975, 29 (03) :181-202
[5]  
FUJISAKA H, 1978, Z NATURFORSCH A, V33, P1455
[6]  
GROSSMANN S, 1977, Z NATURFORSCH A, V32, P1353
[7]   SENSITIVE DEPENDENCE TO INITIAL CONDITIONS FOR ONE DIMENSIONAL MAPS [J].
GUCKENHEIMER, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 70 (02) :133-160
[8]   STROBOSCOPIC PHASE PORTRAIT OF A FORCED NON-LINEAR OSCILLATOR [J].
KAI, T ;
TOMITA, K .
PROGRESS OF THEORETICAL PHYSICS, 1979, 61 (01) :54-73
[9]   EXISTENCE OF INVARIANT MEASURES FOR PIECEWISE MONOTONIC TRANSFORMATIONS [J].
LASOTA, A ;
YORKE, JA .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 186 (459) :481-488
[10]   ERGODIC TRANSFORMATIONS FROM AN INTERVAL INTO ITSELF [J].
LI, TY ;
YORKE, JA .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 235 (JAN) :183-192