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
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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.
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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/

[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