单向时滞混沌网络的同步与最大公约数
Synchronization of unidirectional time delay chaotic networks and the greatest common divisor
摘要：
我们提出了单向耦合混沌节点的同步与异构延迟和最大公约数（GCD）组成的有向图的循环之间的相互作用。在弱混沌区，当GCD=1时，网络处于混沌零滞后同步，而当GCD=m>1时，网络出现m-子格同步。当所有的混沌节点都受到一组相同的延迟的影响时，特别是对于齐次延迟的极限情况，可以实现完全同步。结果支持的混沌系统，自洽和混合参数，以及伯努利映射的解析解的模拟。
英文摘要：
We present the interplay between synchronization of unidirectional coupled chaotic nodes with heterogeneous delays and the greatest common divisor (GCD) of loops composing the oriented graph. In the weak chaos region and for GCD=1 the network is in chaotic zero-lag synchronization, whereas for GCD=m>1 synchronization of m-sublattices emerges. Complete synchronization can be achieved when all chaotic nodes are influenced by an identical set of delays and in particular for the limiting case of homogeneous delays. Results are supported by simulations of chaotic systems, self-consistent and mixing arguments, as well as analytical solutions of Bernoulli maps.
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