The existence of quasiperiodic motions in quasilinear systems

DOI10.1016/0021-8928(95)90007-1zbMath0882.34050OpenAlexW2044704478MaRDI QIDQ1359916

Yuri N. Bibikov

Publication date: 7 July 1997

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(95)90007-1

zbMATH Keywords

quasiperiodic solutionsKolmogorov-Arnol'd-Moser theoryBogolyubov-Mitropol'skii resultsfinite-dimensional frequency basisquasilinear oscillatory systemsharpening Moser's results

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Cites Work

• Convergent series expansions for quasi-periodic motions
• Integral manifolds of perturbed differential systems
• Unfoldings and bifurcations of quasi-periodic tori
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