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We present a stability theory for kink propagation in chains of coupledoscillators and a new algorithm for the numerical study of kink dynamics. Thenumerical solutions are computed using an equivalent integral equation insteadof a system of differential equations. This avoids uncertainty about the impactof artificial boundary conditions and discretization in time. Stability resultsalso follow from the integral version. Stable kinks have a monotone leadingedge and move with a velocity larger than a critical value which depends on thedamping strength.Comment: 11 figure

Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators