DFG-RSF: Complex dynamical networks: effects of heterogeneity, adaptivity, and topology

该项目旨在从理论和数值上研究复杂自适应网络的动力学。我们关注的是链路的自适应性、异构性和网络拓扑之间的相互影响。这些应用包括但不限于神经和神经形态网络。在项目继续的框架下，我们将研究不同类型光滑或脉冲耦合振子的网络动力学，并在一般情况下研究连接的可塑性。特别是，在这个项目中，我们想要了解可塑性如何影响不同复杂性的网络中的(集群)同步性：复杂的网络结构，异质的动态节点，非光滑的相互作用。这也可能最终阐明可塑性在神经元尖峰信号的信息时间编码中所起的作用。

The project is directed towards studying theoretically and numerically the dynamics of complex adaptive networks. In our focus is the interplay of adaptivity of the links, heterogeneity, and the topology of the network. The applications include but are not limited to neural and neuromorphic networks. In the framework of the continuation of the project, we will study the dynamics of networks of different types of smoothly or pulse-coupled oscillators with the additional feature of plasticity of connections in a general context. In particular, in this project we would like to understand how plasticity affects the (cluster-)synchronizability in networks of different complexity: complex network structures, heterogeneous dynamical nodes, non-smooth interactions. This might eventually also shed light on the role of plasticity for the temporal coding of information by neuronal spikes.