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Some anomalous properties of linear systems with odd quasiperiodic coefficients. (Russian) Zbl 0825.34011
Linear systems with analytic odd quasiperiodic coefficients and a sufficiently small right-hand side are considered on the assumption of the normal incommensurability of the components of the frequency vector. It is shown that, if the condition of the normal incommensurability is not fulfilled, then the solutions exhibit pathological properties. In particular, they are irreducible in the space of almost reducible odd systems with given frequencies basis.

MSC:
34B05 Linear boundary value problems for ordinary differential equations
37C55 Periodic and quasi-periodic flows and diffeomorphisms
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