title: Designing the dynamics of spiking neural networks.
abstract: Precise timing of spikes and temporal locking are key elements of neural computation. Here we demonstrate how even strongly heterogeneous, deterministic neural networks with delayed interactions and complex topology can exhibit periodic patterns of spikes that are precisely timed. We develop an analytical method to find the set of all networks exhibiting a predefined pattern dynamics. Such patterns may be arbitrarily long and of complicated temporal structure. We point out that the same pattern can exist in very different networks and have different stability properties.
authors.affiliation: Max-Planck-Institut für Dynamik und Selbstorganisation (MPIDS), 37073 Göttingen, Germany.
authors.forename: Raoul-Martin
authors.initials: RM
authors.lastname: Memmesheimer
authors.forename: Marc
authors.initials: M
authors.lastname: Timme
mesh_terms: D000200:Action Potentials; D009415:Nerve Net