Chaotic synchronization. Information viewpoint

被引:16
作者
Dmitriev, AS
Kassian, GA
Khilinsky, AD
机构
[1] Russian Acad Sci, Inst Radio Engn & Elect, Moscow 103907, Russia
[2] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Region, Russia
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2000年 / 10卷 / 04期
关键词
D O I
10.1142/S0218127400000529
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The phenomenon of chaotic synchronization is investigated from an information viewpoint. The synchronization of a "receiver" of chaos with a chaotic "source" is discussed as an ability of the receiver to recover a copy of the chaotic signal generated by the source. The main idea of the paper is to show that in terms of the information approach the condition for the chaotic synchronization is not due to the physical effect of one system on the other, but the transmission of necessary information about the chaotic process and, hence, the information carrying capacity of the "communication channel" between the source and the receiver.
引用
收藏
页码:749 / 761
页数:13
相关论文
共 13 条
[1]  
Abarbanel H, 1996, ANAL OBSERVED CHAOTI
[2]  
ALEKSEEV VM, 1979, METHODS SYMBOLIC DYN, P196
[3]  
Billingsley P., 1965, ERGODIC THEORY INFOR
[4]   SYMBOLIC DYNAMICS FOR HYPERBOLIC FLOWS [J].
BOWEN, R .
AMERICAN JOURNAL OF MATHEMATICS, 1973, 95 (02) :429-459
[5]  
DMITRIEV AS, 1998, USPEHI SOVREMENNOY R, V11, P4
[6]  
DMITRIEV AS, 1998, IZVESTIYA VUZOV RADI, V41, P1497
[7]   ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].
ECKMANN, JP ;
RUELLE, D .
REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656
[8]  
GUEKENHEIMER J, 1983, NONLINEAR OSCILLATIO
[9]  
Haykin S., 1994, COMMUNICATION SYSTEM
[10]  
KORNFIELD IP, 1985, MODERN MATH PROBLEMS, V2, P44