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由泊松噪声诱导的全局耦合动力网络的完全同步。

Complete synchronization of the global coupled dynamical network induced by Poisson noises.

机构信息

School of Aeronautics, Northwestern Polytechnical University, Xi'an, Shaanxi, China.

出版信息

PLoS One. 2017 Dec 7;12(12):e0188632. doi: 10.1371/journal.pone.0188632. eCollection 2017.

DOI:10.1371/journal.pone.0188632
PMID:29216214
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5720815/
Abstract

The different Poisson noise-induced complete synchronization of the global coupled dynamical network is investigated. Based on the stability theory of stochastic differential equations driven by Poisson process, we can prove that Poisson noises can induce synchronization and sufficient conditions are established to achieve complete synchronization with probability 1. Furthermore, numerical examples are provided to show the agreement between theoretical and numerical analysis.

摘要

研究了不同泊松噪声诱导的全局耦合动力网络完全同步。基于泊松过程驱动的随机微分方程稳定性理论，可以证明泊松噪声可以诱导同步，并建立了以概率 1 实现完全同步的充分条件。此外，还提供了数值示例来说明理论和数值分析之间的一致性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6818/5720815/92da66697541/pone.0188632.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6818/5720815/e396a6fe3a1f/pone.0188632.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6818/5720815/5509664e72d6/pone.0188632.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6818/5720815/d7cf19b4bea9/pone.0188632.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6818/5720815/92da66697541/pone.0188632.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6818/5720815/e396a6fe3a1f/pone.0188632.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6818/5720815/5509664e72d6/pone.0188632.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6818/5720815/d7cf19b4bea9/pone.0188632.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6818/5720815/92da66697541/pone.0188632.g004.jpg

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