文章基本信息

标题：Network synchronization landscape reveals compensatory structures, quantization, and the positive effect of negative interactions
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作者：Takashi Nishikawa ; Adilson E. Motter
期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：2010
卷号：107
期号：23
页码：10342-10347
DOI：10.1073/pnas.0912444107
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：Synchronization, in which individual dynamical units keep in pace with each other in a decentralized fashion, depends both on the dynamical units and on the properties of the interaction network. Yet, the role played by the network has resisted comprehensive characterization within the prevailing paradigm that interactions facilitating pairwise synchronization also facilitate collective synchronization. Here we challenge this paradigm and show that networks with best complete synchronization, least coupling cost, and maximum dynamical robustness, have arbitrary complexity but quantized total interaction strength, which constrains the allowed number of connections. It stems from this characterization that negative interactions as well as link removals can be used to systematically improve and optimize synchronization properties in both directed and undirected networks. These results extend the recently discovered compensatory perturbations in metabolic networks to the realm of oscillator networks and demonstrate why "less can be more" in network synchronization.
关键词：complex networks ; nonlinear dynamics ; stability analysis ; network interactions ; collective behavior