We have identified the occurrence of chimera states for various coupling schemes in networks of two-dimensional and three-dimensional Hindmarsh-Rose oscillators, which represent realistic models of neuronal ensembles. This result, together with recent studies on multiple chimera states in nonlocally coupled FitzHugh-Nagumo oscillators, provide strong evidence that the phenomenon of chimeras may...

-Measurements of the normalized radar cross section (_o) made by the YSCAT nltrawideband scatterometer during an extended deployment on the Canada Centre for Inland Waters (CCIW) Research Tower located at Lake Ontario are analyzed and compared with anemometer wind measurements to study the sensitivity of cr° to the wind speed as a function of the Bragg wavelength. This paper concentrates on upw...

A gradient particle method is used to compute probability densities for processes with delay bifurcations that are sensitive to very small noise. The method is particularly useful for computing the probability density in the transition region, where asymptotic approximations may not be valid. For a one dimensional steady bifurcation problem and a two-dimensional FitzHugh-Nagumo model we solve t...

In the present paper we derive the existence and uniqueness of a solution for the optimal control problem determined by a stochastic FitzHugh-Nagumo equation with recovery variable. In particular due the cubic non-linearity in the drift coefficients, standard techniques cannot be applied so that the Ekeland’s variational principle has to be exploited. AMS Classification subjects: 34K35, 35R60, ...

In this article, we provide existence results for a general class of nonlocal and nonlinear second-order parabolic equations. The main motivation comes from front propagation theory in the cases when the normal velocity depends on the moving front in a nonlocal way. Among applications, we present level-set equations appearing in dislocations’ theory and in the study of Fitzhugh-Nagumo systems.