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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 133, Number 1, Pages 36–53
DOI: https://doi.org/10.4213/tmf379 (Mi tmf379) 		 
Space-Time Chaos, Critical Phenomena, and Bifurcations of Solutions of Infinite-Dimensional Systems of Ordinary Differential Equations

L. D. Pustyl'nikov

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tmf379
Abstract: We study infinite-dimensional systems of ordinary differential equations having applications in some popular and important physical problems. The appearance of infinite-dimensional space-time chaos is considered, namely, the bifurcations and critical phenomena that occur in the phase
Keywords: chaos, bifurcation, stability, infinite-dimensional system of equations, hyperbolic point, separatrix.
Received: 30.05.2001
Revised: 15.02.2002
English version:
Theoretical and Mathematical Physics, 2002, Volume 133, Issue 1, Pages 1348–1362
DOI: https://doi.org/10.1023/A:1020641913332
Bibliographic databases:
Language: Russian
Citation: L. D. Pustyl'nikov, “Space-Time Chaos, Critical Phenomena, and Bifurcations of Solutions of Infinite-Dimensional Systems of Ordinary Differential Equations”, TMF, 133:1 (2002), 36–53; Theoret. and Math. Phys., 133:1 (2002), 1348–1362
Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 133
\issue 1
\pages 1348--1362
\crossref{https://doi.org/10.1023/A:1020641913332}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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