Projective synchronization in three-dimensional chaotic systems

Projective synchronization in three-dimensional chaotic systems
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DOI:
10.1103/physrevlett.82.3042
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发表时间:
1999-04-12
影响因子:
8.6
通讯作者:
Rehacek, J
Rehacek, J
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Mainieri, R;Rehacek, J

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在部分线性系统中,例如洛伦兹模型,混沌同步仅在某些变量中是可能的。我们表明,对于nonsynchronizing变量,同步的比例因子是可能的。我们解释了这种投影形式的三维系统中的混沌同步的机制。投影同步的Lorenz和磁盘发电机系统说明。我们还引入了一个向量场,可以用来预测的比例因子。[S0031-9007(99)08897-3]。
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].