6 citations · 12 across the 5 of their papers we have counts for
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math.DS2020★ 1 cited
Simulating brain rhythms using an ODE with stochastically varying coefficients
Benjamin Ambrosio, Lai-Sang Young
The brain produces rhythms in a variety of frequency bands. Some are likely by-products of neuronal processes; others are thought to be top-down. Produced entirely naturally, these…
math.DS2017★ 1 cited
Canard Phenomenon in a modified Slow-Fast Leslie-Gower and Holling type scheme model
B. Ambrosio, M. A. Aziz-Alaoui, R. Yafia
Geometrical Singular Perturbation Theory has been successful to investigate a broad range of biological problems with different time scales. The aim of this paper is to apply this…
math.DS2015★ 3 cited
Attractor and synchronization for a complex network of reaction-diffusion systems of FitzHugh-Nagumo type
B. Ambrosio, M. A. Aziz-Alaoui, V. L. E. Phan
We focus on the long time behavior of complex networks of reaction-diffusion (RD) systems. We prove the existence of the global attractor and a -bound for a network of…