On a generic property of vector subspaces defined by Lyapunov exponents
Sbornik. Mathematics, Tome 56 (1987) no. 1, pp. 1-18 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that the dependence on a Cauchy problem of the subspace consisting of the initial values of those solutions of the linearized Cauchy problem whose Lyapunov exponents do not exceed the $k$th Lyapunov exponent of the linearized system is generically continuous, provided that the $k$th exponent of the linearized system is different from its $(k-1)$st exponent. Bibliography: 11 titles.
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V. M. Millionshchikov. On a generic property of vector subspaces defined by Lyapunov exponents. Sbornik. Mathematics, Tome 56 (1987) no. 1, pp. 1-18. http://geodesic.mathdoc.fr/item/SM_1987_56_1_a0/

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[9] Millionschikov V. M., “Berovskie klassy funktsii i pokazateli Lyapunova. V”, Differents. uravneniya, 17 (1981), 1394–1410

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