Geodesic
A dynamical system with infinitely many degrees of freedom and solution of the Frenkel'–Kontorova problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 1, pp. 58-68 
L. D. Pustyl'nikov. A dynamical system with infinitely many degrees of freedom and solution of the Frenkel'–Kontorova problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 1, pp. 58-68. http://geodesic.mathdoc.fr/item/TMF_1986_68_1_a4/
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     title = {A~dynamical system with infinitely many degrees of freedom and solution of the {Frenkel'{\textendash}Kontorova} problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A system with infinitely many particles and Frenkel'–Kontorova potential is studied. Solutions of the Frenkel'–Kontorova problem are found, the stability of the stationary solutions is proved, and families of synchronous, periodic, and conditionally periodic motions are constructed.

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