Geodesic
Infinite-dimensional strange attractors and bifurcations in adynamical system with infinitely many degrees of freedom
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 85-91 
L. D. Pustyl'nikov. Infinite-dimensional strange attractors and bifurcations in adynamical system with infinitely many degrees of freedom. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 85-91. http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a6/
@article{TMF_1992_92_1_a6,
     author = {L. D. Pustyl'nikov},
     title = {Infinite-dimensional strange attractors and bifurcations in adynamical system with infinitely many degrees of freedom},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {85--91},
     year = {1992},
     volume = {92},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a6/}
}
TY  - JOUR
AU  - L. D. Pustyl'nikov
TI  - Infinite-dimensional strange attractors and bifurcations in adynamical system with infinitely many degrees of freedom
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1992
SP  - 85
EP  - 91
VL  - 92
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a6/
LA  - ru
ID  - TMF_1992_92_1_a6
ER  - 
%0 Journal Article
%A L. D. Pustyl'nikov
%T Infinite-dimensional strange attractors and bifurcations in adynamical system with infinitely many degrees of freedom
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 85-91
%V 92
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a6/
%G ru
%F TMF_1992_92_1_a6

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

A system in which infinitely many degrees of freedom play an essential role is considered. Infinite-dimensional strange attractors that lead to spacetime chaos are constructed, and bifurcations of spatially homogeneous solutions are described.

[1] Frenkel Ya. I., Kontorova T. A., ZhETF, 8 (1938), 89–97

[2] Coppersmith S. N., Fisher Daniel S., Threshold Behavior of a Driven Incommensurate. Harmonic Chain, Preprint Physics Department, Princeton University, Princeton, 1988

[3] Pustylnikov L. D., TMF, 68:1 (1986), 58–68 | MR

[4] Gantmakher F. R., Teoriya matrits, Nauka, M., 1986 | MR