On-off intermittency in random map lattices driven by fractal noise

被引:7
作者
Yang, HL
Huang, ZQ
Ding, EJ
机构
[1] CHINA CTR ADV SCI & TECHNOL,WORLD LAB,BEIJING 100080,PEOPLES R CHINA
[2] ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
来源
PHYSICAL REVIEW E | 1996年 / 54卷 / 04期
关键词
D O I
10.1103/PhysRevE.54.3531
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
In this paper we study numerically an ensemble of one-parameter maps driven by fractal noises. There are two accessible cases of on-off intermittency in the system for different values of parameters. The first one, corresponding to the loss of stability of the fixed point, has a power law laminar phase distribution of exponent H-2, while the second one, due to the instability of the synchronous motion of the ensemble, has a distribution depending on the form of the map. A simple analysis of the mechanism of this difference is also given. The distribution for the case far from the critical state is reported.
引用
收藏
页码:3531 / 3534
页数:4
相关论文
共 17 条
[1]   DISTRIBUTION OF THE FIRST RETURN TIME IN FRACTIONAL BROWNIAN-MOTION AND ITS APPLICATION TO THE STUDY OF ON-OFF INTERMITTENCY [J].
DING, MZ ;
YANG, WM .
PHYSICAL REVIEW E, 1995, 52 (01) :207-213
[2]   INTERMITTENCY CAUSED BY CHAOTIC MODULATION .2. LYAPUNOV EXPONENT, FRACTAL STRUCTURE AND POWER SPECTRUM [J].
FUJISAKA, H ;
ISHII, H ;
INOUE, M ;
YAMADA, T .
PROGRESS OF THEORETICAL PHYSICS, 1986, 76 (06) :1198-1209
[3]   NEW APPROACH TO MULTIPLICATIVE STOCHASTIC-PROCESSES .2. INFINITE NUMBER OF TIME CORRELATIONS [J].
FUJISAKA, H ;
YAMADA, T .
PROGRESS OF THEORETICAL PHYSICS, 1993, 90 (03) :529-546
[4]   ANOMALOUS DIFFUSION IN INTERMITTENT CHAOTIC SYSTEMS [J].
GEISEL, T ;
THOMAE, S .
PHYSICAL REVIEW LETTERS, 1984, 52 (22) :1936-1939
[5]   CHARACTERIZATION OF ON-OFF INTERMITTENCY [J].
HEAGY, JF ;
PLATT, N ;
HAMMEL, SM .
PHYSICAL REVIEW E, 1994, 49 (02) :1140-1150
[6]  
HURST HE, 1951, T AM SOC CIV ENG, V116, P770
[7]  
Mandelbrot B.B., 1983, New York
[8]   BLOWOUT BIFURCATIONS - THE OCCURRENCE OF RIDDLED BASINS AND ON OFF INTERMITTENCY [J].
OTT, E ;
SOMMERER, JC .
PHYSICS LETTERS A, 1994, 188 (01) :39-47
[9]   STATISTICS OF TRAJECTORY SEPARATION IN NOISY DYNAMIC-SYSTEMS [J].
PIKOVSKY, AS .
PHYSICS LETTERS A, 1992, 165 (01) :33-36
[10]   EFFECTS OF ADDITIVE NOISE ON ON-OFF INTERMITTENCY [J].
PLATT, N ;
HAMMEL, SM ;
HEAGY, JF .
PHYSICAL REVIEW LETTERS, 1994, 72 (22) :3498-3501