64 citations · 137 across the 6 of their papers we have counts for
6 papers
Oscillatory networks: Insights from piecewise-linear modeling
Stephen Coombes, Mustafa Sayli, Rüdiger Thul +3
There is enormous interest -- both mathematically and in diverse applications -- in understanding the dynamics of coupled oscillator networks. The real-world motivation of such net…
Models Currently Implemented in MIIND
Hugh Osborne, Yi Ming Lai, Marc de Kamps
This is a living document that will be updated when appropriate. MIIND [1, 2] is a population-level neural simulator. It is based on population density techniques, just like DIPDE…
Networks of piecewise linear neural mass models
S Coombes, Y-M Lai, M Sayli +1
Neural mass models are ubiquitous in large scale brain modelling. At the node level they are written in terms of a set of ODEs with a nonlinearity that is typically a sigmoidal sha…
Population Density Equations for Stochastic Processes with Memory Kernels
Yi Ming Lai, Marc de Kamps
We present a novel method for solving population density equations (PDEs), where the populations can be subject to non-Markov noise for arbitrary distributions of jump sizes. The m…
Noise-Induced Synchronization, Desynchronization, and Clustering in Globally Coupled Nonidentical Oscillators
Yi Ming Lai, Mason A. Porter
We study ensembles of globally coupled, nonidentical phase oscillators subject to correlated noise, and we identify several important factors that cause noise and coupling to synch…
Nonlinear Waves in Disordered Diatomic Granular Chains
Laurent Ponson, Nicholas Boechler, Yi Ming Lai +3
We investigate the propagation and scattering of highly nonlinear waves in disordered granular chains composed of diatomic (two-mass) units of spheres that interact via Hertzian co…