Abstract
We establish conditions of the existence of local coordinates for a countable system of differential equations in the neighborhood of an invariant manifold and present the form of this system in these coordinates.
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References
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Zakhlivnaya, O.V. Introduction of local coordinates for a countable system of differential equations in the neighborhood of an invariant manifold. Ukr Math J 48, 492–501 (1996). https://doi.org/10.1007/BF02390610
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DOI: https://doi.org/10.1007/BF02390610