11 citations · 11 across the 5 of their papers we have counts for
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Analysis and stability of the FitzHugh-Nagumo system with rapidly oscillating Neumann boundary condition
Alexander Rodriguez, Eduardo Cerpa
In this paper we study the FitzHugh-Nagumo system posed on the half-line with a sinusoidal forcing term acting at the origin through the Neumann boun\-da\-ry condition. By applying…
Stability analysis of a linear system coupling wave and heat equations with different time scales
Gonzalo Arias, Eduardo Cerpa, Swann Marx
In this paper we consider a system coupling a wave equation with a heat equation through its boundary conditions. The existence of a small parameter in the heat equation, as a fact…
Approximation and stability results for the parabolic FitzHugh-Nagumo system with combined rapidly oscillating sources
Eduardo Cerpa, Matías Courdurier, Esteban Hernández +2
The use of high-frequency currents in neurostimulation has received increased attention in recent years due to its varied effects on tissues and cells. Nonlinear differential equat…
Singular perturbation analysis for a coupled KdV-ODE system
Swann Marx, Eduardo Cerpa
Asymptotic stability is with no doubts an essential property to be studied for any system. This analysis often becomes very difficult for coupled systems and even harder when diffe…
Output feedback control of the linear Korteweg-de Vries equation
Swann Marx, Eduardo Cerpa
- This paper presents the design of an output feedback control for a linear Korteweg-de Vries equation. This design is based on the backstepping method which uses a Volterra transf…
Boundary Controllability of the Korteweg-de Vries Equation on a Bounded Domain
Eduardo Cerpa, Ivonne Rivas, Bing-Yu Zhang
This paper is devoted to study boundary controllability of the Korteweg-de Vries equation posed on a finite interval, in which, because of the third-order character of the equation…