Abstract:
A localized excitation is studied in a classical system of nonlinear oscillators that have a
fairly weak interaction. It is shown that the lifetime of such an excitation increases exponentially with decreasing coupling constant.
Citation:
A. A. Ovchinnikov, “Localized vibrational excitations in a system of nonlinear oscillators”, TMF, 11:3 (1972), 366–376; Theoret. and Math. Phys., 11:3 (1972), 574–581
\Bibitem{Ovc72}
\by A.~A.~Ovchinnikov
\paper Localized vibrational excitations in a system of nonlinear oscillators
\jour TMF
\yr 1972
\vol 11
\issue 3
\pages 366--376
\mathnet{http://mi.mathnet.ru/tmf2876}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 11
\issue 3
\pages 574--581
\crossref{https://doi.org/10.1007/BF01028374}
Linking options:
https://www.mathnet.ru/eng/tmf2876
https://www.mathnet.ru/eng/tmf/v11/i3/p366
This publication is cited in the following 1 articles:
T. Yu. Astakhova, V. N. Likhachev, N. S. Erikhman, G. A. Vinogradov, “A.A. Ovchinnikov's works on nonlinear dynamics and augmentations”, Russ. J. Phys. Chem. B, 3:2 (2009), 297