论文标题
时间变化网络的同步和模式形成理论
Theory of synchronisation and pattern formation on time varying networks
论文作者
论文摘要
对于在静态网络上发展的系统,已经对同步和模式形成进行了强烈的解决。将研究扩展到包括随着时间的流逝的固有能力,这证明是繁琐的,并得出了缺乏普遍性的结论,因为它依赖于特殊的假设。在这里,主稳定性形式主义被扩展到完全一般的前景中,因为基础网络的时间演变所带来的其他贡献。该理论已成功地挑战了两个说明性测试床,它们可以分别归因于同步和图灵设置。
Synchronisation and pattern formation have been intensely addressed for systems evolving on static networks. Extending the study to include the inherent ability of the network to adjust over time proved cumbersome and led to conclusions which lack of generality, as relying on peculiar assumptions. Here, the master stability formalism is extended to account, in a thoroughly general prospect, for the additional contributions as stemming from the time evolution of the underlying network. The theory is successfully challenged against two illustrative testbeds, which can be respectively ascribed to synchronisation and Turing settings.