Chaos Synchronization in Time-Dependent Duplex Networks

Chaos Synchronization in Time-Dependent Duplex Networks
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瞬态双工网络中的混沌同步

DOI:
10.1155/2019/6159365
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发表时间:
2019-04
期刊:
影响因子:
2.3
通讯作者:
Junzhong Yang
Junzhong Yang
中科院分区:
工程技术4区
文献类型:
--
作者:
Qian Liu;Wenchen Han;Lixing Lei;Qionglin Dai;Junzhong Yang

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虽然单层网络上的完全混沌同步已经得到了很好的理解,但在多路网络上的完全混沌同步仍然是一个挑战。在本工作中,我们研究了时域双工网络中振子之间的相互作用模式在两个单层网络之间周期性交替的完全混沌同步。两层之间的交替由偏置强度A和开关频率ω表征。我们发现有两种动力状态依赖于ω。对于高ω,稳定完全同步的临界A与ω无关,快速切换近似表明时间相关双工网络可以用有效耦合强度的时间相关双工网络来近似。对于低ω,临界A非单调依赖于ω。在极低的ω下,可以通过考虑一个主导的横向网络模式来完成同步的单模近似来估计临界A。
Though the complete chaos synchronization on single-layer networks has been well understood, it is still a challenge on multiplex networks. In this work, we study the complete chaos synchronization on time-dependent duplex networks in which interaction pattern among oscillators alternates periodically between two single-layer networks. The alternations between two layers are characterized by the offset strength A and the switching frequency ω. We find that there are two dynamical regimes depending on ω. For high ω, the critical A for the stable complete synchronization is independent of ω and the fast-switching approximation suggests that the time-dependent duplex networks can be approximated by the time-independent duplex networks with effective coupling strength. For low ω, the critical A depends on ω nonmonotonically. At extremely low ω, the estimation of the critical A can be obtained by a single-mode approximation taking one dominant transversal network mode to complete synchronization into considerations.
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