The asymptotic behavior of an infinite system of connected oscillators

DOI10.1007/BF01208395zbMath0826.60097OpenAlexW2312519596MaRDI QIDQ1896942

Tatyana S. Turova

Publication date: 12 September 1995

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01208395

zbMATH Keywords

numerical experimentsWiener processesweak interactioninfinite-dimensional diffusion processrelations of mean phases for different oscillatorssystem of Itô equations

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Stochastic analysis (60H99)

Cites Work

• Diffusions on an infinite dimensional torus
• Statistical macrodynamics of large dynamical systems. Case of a phase transition in oscillator communities
• Intrinsic fluctuations and a phase transition in a class of large populations of interacting oscillators.
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