منابع مشابه
Response functions of spiral waves in the FitzHugh-Nagumo system
Spiral waves are rotating solutions of nonlinear reaction-diffusion systems in two spatial dimensions. Due to the symmetries of the plane, a spiral wave can be shifted and rotated arbitrary, still remaining a solution to reaction-diffusion system. Introducing a symmetry-breaking perturbation of the reaction-diffusion equation, the spiral wave begins to drift, i.e. change its rotation phase and ...
متن کاملOn the Fitzhugh-Nagumo model
The initial value problem P 0 , in all of the space, for the spatio-temporal FitzHugh-Nagumo equations is analyzed. When the reaction kinetics of the model can be outlined by means of piecewise linear approximations, then the solution of P 0 is explicitly obtained. For periodic initial data are possible damped travelling waves and their speed of propagation is evaluated. The results imply appli...
متن کاملSpatially Discrete FitzHugh--Nagumo Equations
We consider pulse and front solutions to a spatially discrete FitzHugh–Nagumo equation that contains terms to represent both depolarization and hyperpolarization of the nerve axon. We demonstrate a technique for deriving candidate solutions for the McKean nonlinearity and present and apply solvability conditions necessary for existence. Our equation contains both spatially continuous and discre...
متن کاملLocalization of Response Functions of Spiral Waves in the Fitzhugh-nagumo System
Dynamics of spiral waves in perturbed, e.g. slightly inhomogeneous or subject to a small periodic external force, two-dimensional autowave media can be described asymptotically in terms of Aristotelean dynamics, so that the velocities of the spiral wave drift in space and time are proportional to the forces caused by the perturbation. The forces are defined as a convolution of the perturbation ...
متن کاملFitzHugh-Nagumo equations with generalized diffusive coupling.
The aim of this work is to investigate the dynamics of a neural network, in which neurons, individually described by the FitzHugh-Nagumo model, are coupled by a generalized diffusive term. The formulation we are going to exploit is based on the general framework of graph theory. With the aim of defining the connection structure among the excitable elements, the discrete Laplacian matrix plays a...
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ژورنال
عنوان ژورنال: BioScience
سال: 2006
ISSN: 0006-3568
DOI: 10.1641/0006-3568(2006)56[711:rff]2.0.co;2