ON TYPICAL PROPERTIES OF LEVEL SETS OF LYAPUNOV EXPONENTS

V. M. Millionshchikov · Mathematics of the USSR-Sbornik · 1986

The level sets of Lyapunov exponents of linearized systems are considered as functions of the linearized Cauchy problem. It is proved that lower semicontinuity is a typical property for these functions. Typicality is understood in the Baire sense: a property is typical if it is possessed by a dense set of points which is a countable intersection of open sets.Bibliography: 11 titles.

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