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Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators

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Carpio, Ana (2004) Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators. Physical Review E, 69 (4). ISSN 1539-3755

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Official URL: http://link.aps.org/doi/10.1103/PhysRevE.69.046601


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Abstract

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.


Item Type:Article
Uncontrolled Keywords:Semiconductor Superlattices; Harmonic Liquid; Discrete; Propagation; Dynamics; Equilibrium; Failure; Systems; Pulses
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Mathematics > Differential equations
ID Code:14989
Deposited On:25 Apr 2012 09:07
Last Modified:12 Dec 2018 15:07

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