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Intra-layer Synchronization in Duplex Networks with Time-Varying Delays and Stochastic Perturbations Under Impulsive Control
Neural Processing Letters ( IF 3.1 ) Pub Date : 2020-06-20 , DOI: 10.1007/s11063-020-10281-0
Jinsen Zhuang , Yan Zhou , Yonghui Xia

This paper concerns the intra-layer synchronization in duplex networks with stochastic perturbations under impulsive control. In this paper, we proposed a dynamical system on a duplex network with impulsive control, where delay of interactions within each layer, delay of interactions between layers, and environmental noises are included. Different from Tang et al. (Sci China Technol Sci 61(12):1907–1914, 2018), we used different topology structures for the two layers of the duplex network. Different from the model of Shen and Tang (Chin Phys B 27(10):100503, 2018), delays in the node interactions within or between the layers are allowed. Besides, the environmental noises are included. Moreover, due to the superior efficiency of impulsive control, we use it to control the synchronization of the duplex network even if the dynamical system exhibits chaos phenomena. Finally, we obtain some interesting simulation results by applying our theoretic results to the Chua–Chua chaotic system to show the effectiveness of our control schemes.

中文翻译:

脉冲控制下具有时变时滞和随机扰动的双工网络的层内同步

本文涉及脉冲控制下具有随机扰动的双工网络中的层内同步。在本文中,我们提出了一种具有脉冲控制的双工网络上的动力学系统,其中包括各层之间的相互作用的延迟,各层之间的相互作用的延迟以及环境噪声。与唐等人不同。(Sci China Technol Sci 61(12):1907-1914,2018),我们为双工网络的两层使用了不同的拓扑结构。与Shen和Tang的模型(Chin Phys B 27(10):100503,2018)不同,允许在层内或层之间的节点交互延迟。此外,还包括环境噪声。此外,由于脉冲控制的卓越效率,我们使用它来控制双工网络的同步,即使动态系统表现出混乱现象。最后,通过将我们的理论结果应用于Chua-Chua混沌系统,以表明我们的控制方案的有效性,我们获得了一些有趣的仿真结果。
更新日期:2020-06-20
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