Geodesic
Localized vibrational excitations in a system of nonlinear oscillators
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 366-376 
A. A. Ovchinnikov. Localized vibrational excitations in a system of nonlinear oscillators. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 366-376. http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a9/
@article{TMF_1972_11_3_a9,
     author = {A. A. Ovchinnikov},
     title = {Localized vibrational excitations in a system of nonlinear oscillators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {366--376},
     year = {1972},
     volume = {11},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a9/}
}
TY  - JOUR
AU  - A. A. Ovchinnikov
TI  - Localized vibrational excitations in a system of nonlinear oscillators
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1972
SP  - 366
EP  - 376
VL  - 11
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a9/
LA  - ru
ID  - TMF_1972_11_3_a9
ER  - 
%0 Journal Article
%A A. A. Ovchinnikov
%T Localized vibrational excitations in a system of nonlinear oscillators
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1972
%P 366-376
%V 11
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a9/
%G ru
%F TMF_1972_11_3_a9

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] A. A. Ovchinnikov, ZhETF, 57 (1969), 263

[2] D. Ter-Khaar, UFN, 59 (1956), 619 | DOI

[3] C. D. Birkhoff, Proc. Nat. Acad. Sci., 17 (1931), 650 | DOI | Zbl

[4] J. von Neumann, Proc. Nat. Acad. Sci., 18 (1932), 70 | DOI | Zbl

[5] S. Ulam, Nereshennye matematicheskie zadachi, «Nauka», 1964 | Zbl

[6] J. Ford, J. Waters, J. Math. Phys., 4 (1963), 1293 | DOI

[7] F. M. Izrailev, A. I. Khisamutdinov, B. V. Chirikov, Preprint IYaF, Sib. otd. AN SSSR, 1968 | MR

[8] V. I. Arnold, UMN, 18 (1963), 91 | MR | Zbl

[9] N. N. Bogolyubov, Yu. A. Mitropolskii, Asimptoticheskie metody v teorii nelineinykh kolebanii, Fizmatgiz, 1963 | MR

[10] A. A. Andronov, A. A. Vitt, S. E. Khaikin, Teoriya kolebanii, Fizmatgiz, 1959 | MR

[11] P. A. M. Dirak, Osnovy kvantovoi mekhaniki, Fizmatgiz, 1965

[12] D. A. Kirzhnits, Polevye metody teorii mnogikh chastits, Atomizdat, 1963

[13] A. Puankare, O krivykh, opredelyaemykh differentsialnymi uravneniyami, Gostekhizdat, 1947