Synchronization and directed percolation in coupled map lattices

被引:16
作者
Bagnoli, F
Baroni, L
Palmerini, P
机构
[1] Univ Florence, Dipartimento Matemat Appl, I-50139 Florence, Italy
[2] Ist Nazl Fis Nucl, Sez Firenze, Florence, Italy
[3] INFM, Sez Firenze, Florence, Italy
[4] Univ Florence, Dipartimento Fis, I-50125 Florence, Italy
[5] Ctr nazl Univ Calcolo Elettr, CNR, I-56100 Pisa, Italy
来源
PHYSICAL REVIEW E | 1999年 / 59卷 / 01期
关键词
D O I
10.1103/PhysRevE.59.409
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
We study a synchronization mechanism, based on one-way coupling of all-or-nothing type, applied to coupled map lattices with several different local rules. By analyzing the metric and the topological distance between the two systems, we found two different regimes: a strong chaos phase in which the transition has a directed percolation character and a weak chaos phase in which the synchronization transition occurs abruptly. We are able to derive some analytical approximations for the location of the transition point and the critical properties of the system. We propose to use the characteristics of this transition as indicators of the spatial propagation of chaoticity. [S1063-651X(99)06701-X].
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页码:409 / 416
页数:8
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