Synchronization and Cluster Sequences in Modular and Evolving Map-based Neural Networks.

The impact of modularity and time delay for spiking neural networks is considered in the first part of this report. We show for different complex topologies that time delay controls regimes of inter-module synchronization as well as the oscillatory rate of modules. In the second part of the work we study a paradigmatic model of the evolving neural network whose topology is influenced by nodal dynamics which results in generating different cluster sequences. We show the conditions under which the sequences are robust to small perturbations of initial conditions, parameter detuning, and noise, while at the same are selective to information stimuli. [ABSTRACT FROM AUTHOR]