Abstract
An analog of Arnol'd's theorem on the reducibility of weakly perturbed systems on the finite-dimensional torus is proved for systems of differential equations given on the infinite-dimensional torus.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 8, pp. 1117–1121, August, 1990.
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Filippov, M.G. Reducibility of systems defined on an infinite-dimensional torus. Ukr Math J 42, 996–1000 (1990). https://doi.org/10.1007/BF01099233
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DOI: https://doi.org/10.1007/BF01099233