232 citations · 930 across the 41 of their papers we have counts for
3 papers · 1 filter
Wild oscillations in a nonlinear neuron model with resets: (I) Bursting, spike adding and chaos
Jonathan E. Rubin, Justyna Signerska-Rynkowska, Jonathan D. Touboul +1
In a series of two papers, we investigate the mechanisms by which complex oscillations are generated in a class of nonlinear dynamical systems with resets modeling the voltage and…
Real eigenvalues of non-symmetric random matrices: Transitions and Universality
Luis Carlos García del Molino, Khashayar Pakdaman, Jonathan Touboul
In the past 20 years, the study of real eigenvalues of non-symmetric real random matrices has seen important progress. Notwithstanding, central questions still remain open, such as…
Large deviations for randomly connected neural networks: II. State-dependent interactions
Tanguy Cabana, Jonathan Touboul
This work continues the analysis of large deviations for randomly connected neural networks models of the brain. The originality of the model relies on the fact that the directed i…