349 citations · 417 across the 2 of their papers we have counts for
3 papers
q-bio.NC2015★ 349 cited
Macroscopic description for networks of spiking neurons
Ernest Montbrió, Diego Pazó, Alex Roxin
A major goal of neuroscience, statistical physics and nonlinear dynamics is to understand how brain function arises from the collective dynamics of networks of spiking neurons. Thi…
q-bio.NC2007★ 68 cited
Many Attractors, Long Chaotic Transients, and Failure in Small-World Networks of Excitable Neurons
Hermann Riecke, Alex Roxin, Santiago Madruga +1
We study the dynamical states that emerge in a small-world network of recurrently coupled excitable neurons through both numerical and analytical methods. These dynamics depend in…
nlin.PS2003
Self-sustained activity in a small-world network of excitable neurons
Alex Roxin, Hermann Riecke, Sara A. Solla
We study the dynamics of excitable integrate-and-fire neurons in a small-world network. At low densities of directed random connections, a localized transient stimulus results…