Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators

Details Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators

2004-04-26

arxiv.org/abs/nlin/0404044v1

Physical Review E 69, 046601, 2004

Nonlinear Sciences

Pattern Formation and Solitons

11 figures

Scientific paper

10.1103/PhysRevE.69.046601

We present a stability theory for kink propagation in chains of coupled oscillators and a new 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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