Munich Neuroscience Calendar


19.04.2021, 17:00 Bernstein Center for Computational Neuroscience

Event Type: Talk
Speaker: Carina Curto
Institute: Department of Mathematics, The Pennsylvania State University

Title: Modularity of attractors in inhibition-dominated TLNs

GroƟhaderner Str. 2
82152 Martinsried

Host: Anton Sirota

Threshold-linear networks (TLNs) display a wide variety of nonlinear dynamics including multistability, limit cycles, quasiperiodic attractors, and chaos. Over the past few years, we have developed a detailed mathematical theory relating stable and unstable fixed points of TLNs to graph-theoretic properties of the underlying network. In particular, we have discovered that a special type of unstable fixed points, corresponding to "core motifs," are predictive of dynamic attractors. Recently, we have used these ideas to classify dynamic attractors in a two-parameter family of inhibition-dominated TLNs spanning all 9608 directed graphs of size n=5. Remarkably, we find a striking modularity in the dynamic attractors, with identical or near-identical attractors arising in networks that are otherwise dynamically inequivalent. This suggests that, just as one can store multiple static patterns as stable fixed points in a Hopfield model, a variety of dynamic attractors can also be embedded in a TLN in a modular fashion.

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