Controlled synchronization in heterogeneous multilayer networks

本项目旨在研究异构多层网络交互层（子系统）时空动态的完全同步、部分同步和远程（中继）同步的影响，并探索控制同步的可能性和方法。计划开展旨在解决以下基本问题的研究：-定义具有不同单个元素动态的相互作用集成和异构多层网络中同步模式的条件和特征。揭示了在部分同步体制下多层网络中各层的非均质性的作用。-层内和层间耦合的特性和拓扑对交互复杂网络中同步模式的影响。-分析通过外部信号控制多层网络同步的可能性，通过参数化调整耦合或使用自适应耦合方案。—异构层网络中继同步分析。-多层神经元模型中继电同步及其控制的研究。

The project is aimed at studying the effects of complete, partial, and remote (relay) synchronization of the spatio-temporal dynamics in interacting layers (subsystems) of heterogeneous multilayer networks and exploring the possibilities and methods of controlling synchronization.It is planned to perform research studies which are aimed at solving the following fundamental problems: - Definition of the conditions and features of synchronization patterns in interacting ensembles and heterogeneous multilayer networks with different dynamics of the individual elements. Revealing the role of heterogeneity of layers in a multilayer network in the partial synchronization regime. - Impact of the character and the topology of intra-layer and inter-layer couplings on synchronization patterns in interacting complex networks. - Analysis of the possibilities of controlling synchronization in multilayer networks by means of external signals, by tuning parametrically the coupling or using adaptive coupling schemes.- Analysis of relay synchronization in networks with heterogeneous layers.- Study of relay synchronization and its control in multilayer neuronal models.