Projective synchronization in three-dimensional chaotic systems

被引:660
作者
Mainieri, R
Rehacek, J
机构
[1] Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[2] Univ Calif Los Alamos Natl Lab, CNLS, Los Alamos, NM 87545 USA
关键词
D O I
10.1103/PhysRevLett.82.3042
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In partially linear systems, such as the Lorenz model, chaotic synchronization is possible in only some of the variables. We show that, for the nonsynchronizing variable, synchronization up to a scale factor is possible. We explain the mechanism for this projective form of chaotic synchronization in three-dimensional systems. Projective synchronization is illustrated for the Lorenz and disk dynamo systems. We also introduce a vector field that can be used to predict the scaling factor. [S0031-9007(99)08897-3].
引用
收藏
页码:3042 / 3045
页数:4
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