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Travelling waves in lattice dynamical systems

✍ Scribed by A. A. Pankov; K. Pflüger

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
127 KB
Volume
23
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by B. Brosowski

For a class of one-dimensional lattice dynamical systems we prove the existence of periodic travelling waves with prescribed speed and arbitrary period. Then we study asymptotic behaviour of such waves for big values of period and show that they converge, in an appropriate topology, to a solitary travelling wave.

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