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Volterra series and permutation groups

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Abstract

Algebraic structures, connected with the asymptotic expansions of perturbations of smooth dynamical systems, are investigated; first of all, the so-called shuffle multiplication for permutations and for iterated integrals.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Noveishie Dostizheniya, Vol. 39, pp. 3–40, 1991.

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Agrachev, A.A., Gamkrelidze, R.V. Volterra series and permutation groups. J Math Sci 71, 2409–2433 (1994). https://doi.org/10.1007/BF02111557

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