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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 68, Number 1, Pages 58–68
(Mi tmf5148)
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This article is cited in 6 scientific papers (total in 6 papers)
A dynamical system with infinitely many degrees of freedom and solution of the Frenkel'–Kontorova problem
L. D. Pustyl'nikov
Abstract:
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.
Received: 25.02.1985
Citation:
L. D. Pustyl'nikov, “A dynamical system with infinitely many degrees of freedom and solution of the Frenkel'–Kontorova problem”, TMF, 68:1 (1986), 58–68; Theoret. and Math. Phys., 68:1 (1986), 673–681
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https://www.mathnet.ru/eng/tmf5148 https://www.mathnet.ru/eng/tmf/v68/i1/p58
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Abstract page: | 281 | Full-text PDF : | 103 | References: | 40 | First page: | 1 |
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