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20112013
most citedTopological and Dynamical Complexity of Random Neural Networks

126 citations

researchers with a paper here
collaborating institutions

4 papers

math.DS2013★ 4 cited

Noise-induced canard and mixed-mode oscillations in large stochastic networks with multiple timescales

Jonathan Touboul, Maciej Krupa, Mathieu Desroches

We investigate the dynamics of large stochastic networks with different timescales and nonlinear mean-field interactions. After deriving the limit equations for a general class of…

math-ph2012★ 126 cited

Topological and Dynamical Complexity of Random Neural Networks

Gilles Wainrib, Jonathan Touboul

Random neural networks are dynamical descriptions of randomly interconnected neural units. These show a phase transition to chaos as a disorder parameter is increased. The microsco…

math-ph2012★ 53 cited

Heterogeneous connections induce oscillations in large scale networks

Geoffroy Hermann, Jonathan Touboul

Realistic large-scale networks display an heterogeneous distribution of connectivity weights, that might also randomly vary in time. We show that depending on the level of heteroge…

physics.comp-ph2011★ 82 cited

Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics

Hui Xu, Pierre Sagaut

Lattice Boltmzmann Methods (LBM) have been proved to be very effective methods for computational aeroacoustics (CAA), which have been used to capture the dynamics of weak acoustic…