%0 Journal Article %A Carpio Rodríguez, Ana María %T Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators %D 2004 %@ 1539-3755 %U https://hdl.handle.net/20.500.14352/49872 %X 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. %~