元胞非线性网络的时空混沌边缘

1998 Fifth IEEE International Workshop on Cellular Neural Networks and their Applications. Proceedings (Cat. No.98TH8359) Pub Date : 1998-04-14 DOI:10.1109/CNNA.1998.685341

A. Dmitriev, Y. Andreyev

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引用次数: 0

摘要

研究了一维混沌映射晶格中空间均匀混沌模式的边缘和时空混沌现象。证明了在具有局部连接的自治格中，如果孤立混沌映射的Lyapunov指数/spl λ /大于某个临界值/spl λ //sub cr/>0，则不可能存在空间均匀混沌模式。我们提出了一个带起搏器的晶格模型，发现了一个与起搏器同步的空间均匀模式，以及一个与起搏器模式不同的空间均匀模式。

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Edge of spatio-temporal chaos in cellular nonlinear networks

We investigate phenomena of the edge of spatially uniform chaotic mode and spatial temporal chaos in a lattice of chaotic 1D maps with only local connections. It is shown that in autonomous lattice with local connections, spatially uniform chaotic mode cannot exist if the Lyapunov exponent /spl lambda/ of the isolated chaotic map is greater than some critical value /spl lambda//sub cr/>0. We proposed a model of a lattice with a pacemaker and found a spatially uniform mode synchronous with the pacemaker, as well as a spatially uniform mode different from the pacemaker mode.

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1998 Fifth IEEE International Workshop on Cellular Neural Networks and their Applications. Proceedings (Cat. No.98TH8359)

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