Simulación Numérica de Ondas Viajeras del Sistema FitzHugh-Nagumo
The FitzHugh-Nagumo system has a special type of solution called traveling wave, which has the form u(x, t) =f(x − μt) and w(x, t) =g(x − μt), which is a stable solution over time. Our interest is to numerically characterize the profile of a traveling wave (f-g) and its propagation speed μ(t). With...
| Main Authors: | , |
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional de Trujillo
2018-12-01
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| Series: | Selecciones Matemáticas |
| Subjects: | |
| Online Access: | http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2196 |
| Summary: | The FitzHugh-Nagumo system has a special type of solution called traveling wave, which has the form u(x, t) =f(x − μt) and w(x, t) =g(x − μt), which is a stable solution over time. Our interest is to numerically characterize the profile of a traveling wave (f-g) and its propagation speed μ(t). With a change of variables, we transform the problem of finding the solutions in original coordinates to a problem of finding the equilibria in a new coordinate system called mobile coordinates or non-local coordinate system. aa With numerical examples we will demonstrate that the solutions of the system of EDPs in non-local coordinates converge to a traveling wave of the original problem. The non-local coordinate system also allows to calculate the exact propagation speed. |
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| ISSN: | 2411-1783 2411-1783 |