Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators
We present a stability theory for kink propagation in chains of coupled oscillators and a different algorithm for the numerical study of kink dynamics. The numerical solutions are computed using an equivalent integral equation instead of a system of differential equations. This avoids uncertainty ab...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49872 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49872 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.9 531.1 Semiconductor Superlattices Harmonic Liquid Discrete Propagation Dynamics Equilibrium Failure Systems Pulses Física-Modelos matemáticos Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Sumario: | We present a stability theory for kink propagation in chains of coupled oscillators and a different algorithm for the numerical study of kink dynamics. The numerical solutions are computed using an equivalent integral equation instead of a system of differential equations. This avoids uncertainty about the impact of artificial boundary conditions and discretization in time. Stability results also follow from the integral version. Stable kinks have a monotone leading edge and move with a velocity larger than a critical value which depends on the damping strength. |
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