Analysis of parameter mismatches in the master stability function for network synchronization

Analysis of parameter mismatches in the master stability function for network synchronization
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DOI:
10.1209/0295-5075/93/50002
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发表时间:
2011-02
期刊:
EPL (Europhysics Letters)
影响因子:
--
通讯作者:
F. Sorrentino;M. Porfiri
F. Sorrentino;M. Porfiri
中科院分区:
其他
文献类型:
--
作者:
F. Sorrentino;M. Porfiri

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在这封信中,我们进行了灵敏度分析的主稳定性函数方法的耦合动力系统的网络同步。更具体地说,我们分析了一个网络的耦合动力系统,其中每个单元的个人动态和输出函数是近似相同的,耦合矩阵的行中的条目的总和稍微偏离零的几乎同步的解决方案的线性稳定性。这项参数研究的动机来自人造或自然环境中同步的实验实例,其中理想的条件很难观察到。
In this letter, we perform a sensitivity analysis on the master stability function approach for the synchronization of networks of coupled dynamical systems. More specifically, we analyze the linear stability of a nearly synchronized solution for a network of coupled dynamical systems, for which the individual dynamics and output functions of each unit are approximately identical and the sums of the entries in the rows of the coupling matrix slightly deviate from zero. The motivation for this parametric study comes from experimental instances of synchronization in human-made or natural settings, where ideal conditions are difficult to observe.