The asymptotic behavior of an infinite system of connected oscillators
Matematičeskie zametki, Tome 54 (1993) no. 5, pp. 99-106.

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

@article{MZM_1993_54_5_a10,
     author = {T. S. Turova},
     title = {The asymptotic behavior of an infinite system of connected oscillators},
     journal = {Matemati\v{c}eskie zametki},
     pages = {99--106},
     publisher = {mathdoc},
     volume = {54},
     number = {5},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1993_54_5_a10/}
}
TY  - JOUR
AU  - T. S. Turova
TI  - The asymptotic behavior of an infinite system of connected oscillators
JO  - Matematičeskie zametki
PY  - 1993
SP  - 99
EP  - 106
VL  - 54
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1993_54_5_a10/
LA  - ru
ID  - MZM_1993_54_5_a10
ER  - 
%0 Journal Article
%A T. S. Turova
%T The asymptotic behavior of an infinite system of connected oscillators
%J Matematičeskie zametki
%D 1993
%P 99-106
%V 54
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1993_54_5_a10/
%G ru
%F MZM_1993_54_5_a10
T. S. Turova. The asymptotic behavior of an infinite system of connected oscillators. Matematičeskie zametki, Tome 54 (1993) no. 5, pp. 99-106. http://geodesic.mathdoc.fr/item/MZM_1993_54_5_a10/

[1] Holley R., Stroock D., “Diffusions on an infiniti dimensional torus”, Funct. Anal., 42:1 (1981), 29–63 | DOI | MR | Zbl

[2] Hoppensteadt F. C., An introduction to the mathematics of neurons, Cambridge University Press, 1986 | MR | Zbl

[3] Gray C. M., Singer W., “Stimulus–specific neuronal oscillations in orientation columns of cat visual cortex”, Proc. Nat. Acad. Sci. USA, 86 (1989), 1698–1702 | DOI

[4] Kryukov V. I., Kazanovich Ya. B., Luzyanina T. B., “A synchronized oscillatory system explains an attention and LTP induced learning deficits”, Open Network Conference (London), 1990, 4–5

[5] Kuramoto Y., Nishikawa I., “Statistical macrodynamics of large dynamical systems. Case of phase transition in oscillator communities”, J. Stat. Phys., 49 (1987), 569–605 | DOI | MR

[6] Daido H., “Intrinsic fluctuations and phase transition in a class of large populations of interacting oscillators”, Stat. Phys., 60:5–6 (1990), 753–800 | DOI | MR | Zbl

[7] Ignatyuk I. A., Malyshev V. A., Turova V. S., “Ustoichivost beskonechnykh sistem stokhasticheskikh uravnenii”, Itogi nauki i tekhn. Teor. veroyatnostei. Mat. statistika. Teor. kibernetika, 27, VINITI, M., 1990, 79–128 | MR

[8] Liptser R. Sh., Shiryaev A. N., Statistika sluchainykh protsessov, Nauka, M., 1974 | MR | Zbl

[9] Malyshev V. A., Minlos R. A., Gibbsovskie sluchainye polya, Nauka, M., 1985 | MR