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A. Vetokhin (2014)
On the set of lower semicontinuity points of Lyapunov exponents of linear systems with a continuous dependence on a real parameterDifferential Equations, 50
M.I. Rakhimberdiev (1982)
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A.N. Vetokhin (2015)
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Preobrazovaniya Lyapunova lineinykh differentsial’nykh sistem (Lyapunov Transformations of Linear Differential Systems)
A.N. Vetokhin (2014)
On the Set of Lower Semicontinuity Points of Lyapunov Exponents of Linear Systems with a Continuous Dependence on a Real ParameterDiffer. Uravn., 50
R. Baire, A. Denjoy
Lecons sur les fonctions discontinues
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S.A. Mazanik (2008)
Preobrazovaniya Lyapunova lineinykh differentsial’nykh sistem
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A Generic Property of Lyapunov Exponents, Mat
We consider parametric families of differential systems with coefficients that are bounded and continuous on the half-line and uniformly in time continuously depend on a real parameter. For each Lyapunov exponent, we construct a family such that the Lyapunov exponent of its systems treated as a function of the parameter is not a lower semicontinuous function for any value of the parameter.
Differential Equations – Springer Journals
Published: May 11, 2016
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