Interacting solitary waves in a damped driven Lennard-Jones chain

Theo P. Valkering, Joost H.J. van Opheusden

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Abstract

It is shown analytically that pulse solitary waves in a chain with Lennard-Jones type nearest neighbor interaction are strongly localized and marginally stable in the high energy limit. In a damped and periodically driven chain we obtain numerically families of states whose behavior is similar to that of equally many oscillators. We observe a period doubling sequence in a one-solitary wave family and bifurcation to (quasi-) periodic motion in a family of two solitary waves. We conclude that the damped and driven chain admits asymptotically stable states living on a low-dimensional manifold in phase space. These results depend sensitively on the shape of the driving term.
Original languageEnglish
Pages (from-to)381-390
JournalPhysica D
Volume23
Issue number1-3
DOIs
Publication statusPublished - 1986

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