Abstract:
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.
Citation:
L. D. Pustyl'nikov, “Infinite-dimensional strange attractors and bifurcations in adynamical system with infinitely many degrees of freedom”, TMF, 92:1 (1992), 85–91; Theoret. and Math. Phys., 92:1 (1992), 754–758
\Bibitem{Pus92}
\by L.~D.~Pustyl'nikov
\paper Infinite-dimensional strange attractors and bifurcations in adynamical system with infinitely many degrees of freedom
\jour TMF
\yr 1992
\vol 92
\issue 1
\pages 85--91
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1256716}
\zmath{https://zbmath.org/?q=an:0787.58033|0760.58034}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 92
\issue 1
\pages 754--758
\crossref{https://doi.org/10.1007/BF01018703}
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Linking options:
https://www.mathnet.ru/eng/tmf5666
https://www.mathnet.ru/eng/tmf/v92/i1/p85
This publication is cited in the following 2 articles:
L. D. Pustyl'nikov, “Space-Time Chaos, Critical Phenomena, and Bifurcations of Solutions of Infinite-Dimensional Systems of Ordinary Differential Equations”, Theoret. and Math. Phys., 133:1 (2002), 1348–1362
L. D. Pustyl'nikov, “Infinite-dimensional non-linear ordinary differential equations and the KAM theory”, Russian Math. Surveys, 52:3 (1997), 551–604