Results 41 to 50 of about 8,003 (143)
Dynamics of Elastic Excitable Media
, 1999 The Burridge-Knopoff model of earthquake faults with viscous friction is equivalent to a van der Pol-FitzHugh-Nagumo model for excitable media with elastic coupling.
Burridge R. +9 more
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Boundary value problems for integro-differential and singular higher-order differential equations
Open MathematicsWe investigate third-order strongly nonlinear differential equations of the type (Φ(k(t)u″(t)))′=f(t,u(t),u′(t),u″(t)),a.e. on[0,T],\left(\Phi \left(k\left(t){u}^{^{\prime\prime} }\left(t)))^{\prime} =f\left(t,u\left(t),u^{\prime} \left(t),{u}^{^{\prime ...
Anceschi Francesca +3 more
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Upper and Lower Solutions for the FitzHugh– Nagumo Type System of Equations
Моделирование и анализ информационных систем, 2018 We consider a moving front solution of a singularly perturbed FitzHugh–Nagumo type system of equations. The solution contains an internal transition layer, that is, a subdomain where a sharp change in the values of the functions describing the solution ...
Svetlana V. Bytsyura +1 more
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, 2019 We study the statistical physics of a surprising phenomenon arising in large networks of excitable elements in response to noise: while at low noise, solutions remain in the vicinity of the resting state and large-noise solutions show asynchronous ...
Ermentrout, G. Bard +3 more
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Nonlocal control of pulse propagation in excitable media
, 2014 We study the effects of nonlocal control of pulse propagation in excitable media. As a generic example for an excitable medium the FitzHugh-Nagumo model with diffusion in the activator variable is considered. Nonlocal coupling in form of an integral term
Bachmair, Clemens A., Schöll, Eckehard
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Spatio-temporal modelling of wave formation in an excitable chemical medium based on a revised FitzHugh-Nagumo model [PDF]
, 2010 The wavefront profile and the propagation velocity of waves in an experimentally observed Belousov-Zhabotinskii reaction are analyzed and a revised FitzHumgh-Nagumo(FHN) model of these systems is identified.
Billings, S.A. +5 more
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Chaotic oscillations in singularly perturbed FitzHugh-Nagumo systems
, 2013 We consider the singularly perturbed limit of periodically excited two-dimensional FitzHugh-Nagumo systems. We show that the dynamics of such systems are essentially governed by an one-dimensional map and present a numerical scheme to accurately compute ...
Barbosa, Peterson T. C., Saa, Alberto
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Existence and uniqueness of radial solutions for elliptic equations with nonlinear gradient terms
Boundary Value ProblemsIn this paper, we discuss the existence and uniqueness of radial solutions of the elliptic equation with nonlinear gradient term { − △ u = f ( | x | , u , x | x | ⋅ ∇ u ) , x ∈ Ω , u | ∂ Ω = 0 , $$ \left \{ \textstyle\begin{array}{l} -\triangle u = f\big(
Xiaoya Liu, Yongxiang Li
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A Virtual Element Method for a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology
, 2018 We present a Virtual Element Method (VEM) for a nonlocal reaction-diffusion system of the cardiac electric field. To this system, we analyze an $H^1(\Omega)$-conforming discretization by means of VEM which can make use of general polygonal meshes.
Anaya, Verónica +3 more
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The Dynamics of Curved Fronts: Beyond Geometry
, 1996 We derive a new set of kinematic equations for front motion in two-dimensional bistable media. The equations generalize the geometric approach by complementing the equation for the front curvature with an order parameter equation associated with a ...
Hagberg, Aric, Meron, Ehud
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