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math.DS2020
Pullback attractors for stochastic Young differential delay equations
Nguyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hong
We study the asymptotic dynamics of stochastic Young differential delay equations under the regular assumptions on Lipschitz continuity of the coefficient functions. Our main resul…
math.DS2018
Stochastic FitzHugh-Nagumo neuron model in excitable regime embeds a leaky integrate-and-fire model
Marius E. Yamakou, Tat Dat Tran, Luu Hoang Duc +1
In this paper, we provide a complete mathematical construction for a stochastic leaky-integrate-and-fire model (LIF) mimicking the interspike interval (ISI) statistics of a stochas…
math.DS2018
Young differential delay equations driven by Hölder continuous paths
Luu Hoang Duc, Phan Thanh Hong
In this paper we prove the existence and uniqueness of the solution of Young differential delay equations under weaker conditions than it is known in the literature. We also prove…