Highlights•Recurrent neural networks (RNNs) are powerful models of neural systems.•RNNs
can be either designed or trained to perform a task.•In both cases, low dimensional …

Although the generation of movements is a fundamental function of the nervous system, the
underlying neural principles remain unclear. As flexor and extensor muscle activities …

Naturalistic animal behavior exhibits a strikingly complex organization in the temporal
domain, with variability arising from at least three sources: hierarchical, contextual, and …

Large-scale neural recordings have established that the transformation of sensory stimuli
into motor outputs relies on low-dimensional dynamics at the population level, while …

Networks composed of distinct, densely connected subsystems are called modular. In
ecology, it has been posited that a modular organization of species interactions would …

Firing patterns in the central nervous system often exhibit strong temporal irregularity and
considerable heterogeneity in time-averaged response properties. Previous studies …

The eigenvalue spectrum of a random matrix often only depends on the first and second
moments of its elements, but not on the specific distribution from which they are drawn. The …

Many qualitative features of the emerging collective dynamics in neuronal networks, such as
correlated activity, stability, response to inputs, and chaotic and regular behavior, can be …

A given neural network in the brain is involved in many different tasks. This implies that,
when considering a specific task, the network's connectivity contains a component which is …

Abstract In the 70's, Robert May demonstrated that complexity creates instability in generic
models of ecological networks having random interaction matrices A. Similar random matrix …