Anticipated synchronization in coupled chaotic maps with delays
Anticipated synchronization in coupled chaotic maps with delays
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DOI：
10.1016/s0378-4371(01)00362-4
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发表时间：
2001-04
影响因子：
3.3
通讯作者：
C. Masoller;D. Zanette
中科院分区：
文献类型：
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作者：
C. Masoller;D. Zanette
研究了两个单向（主从）耦合混沌映射的同步问题。两个映射都具有固有延迟n1，耦合以延迟n2起作用。根据差值n1-n2的符号，从映射可以同步到主系统的未来或过去状态。分析了同步态的稳定性，发现它们与耦合时滞n2无关。这些结果进行了比较与数值模拟的延迟映射，所产生的离散化的池田延迟微分方程。我们表明，临界值的耦合强度以上的同步是稳定的成为独立的延迟n1大延迟。
We study the synchronization of two chaotic maps with unidirectional (master–slave) coupling. Both maps have an intrinsic delay n1, and coupling acts with a delay n2. Depending on the sign of the difference n1−n2, the slave map can synchronize to a future or a past state of the master system. The stability properties of the synchronized state are studied analytically, and we find that they are independent of the coupling delay n2. These results are compared with numerical simulations of a delayed map that arises from discretization of the Ikeda delay-differential equation. We show that the critical value of the coupling strength above which synchronization is stable becomes independent of the delay n1for large delays.