SYNCHRONIZATION OF COUPLED SYSTEMS WITH SPATIOTEMPORAL CHAOS

SYNCHRONIZATION OF COUPLED SYSTEMS WITH SPATIOTEMPORAL CHAOS
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时空混沌耦合系统的同步

DOI:
10.1103/physreve.59.r2520
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发表时间:
1998
期刊:
影响因子:
2.4
通讯作者:
P. Grassberger
P. Grassberger
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
P. Grassberger

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我们认为,最近由L.G.莫雷利(Phys. Rev. {\bf 58 E},R8(1998)),一般属于定向渗流普适类。特别是,这在数字上适用于这些作者研究的具体例子,与他们的主张相反。对于具有时空混沌的实值系统(如耦合映象格子),我们认为同步跃迁一般属于具有非线性增长限制项的Kardar-Parisi-Zhang方程的普适类.
We argue that the synchronization transition of stochastically coupled cellular automata, discovered recently by L.G. Morelli {\it et al.} (Phys. Rev. {\bf 58 E}, R8 (1998)), is generically in the directed percolation universality class. In particular, this holds numerically for the specific example studied by these authors, in contrast to their claim. For real-valued systems with spatiotemporal chaos such as coupled map lattices, we claim that the synchronization transition is generically in the universality class of the Kardar-Parisi-Zhang equation with a nonlinear growth limiting term.