Geodesic
On a~generic property of vector subspaces defined by Lyapunov exponents
Sbornik. Mathematics, Tome 56 (1987) no. 1, pp. 1-18

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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/