Email this article Emptiness of set of points of lower semicontinuity of Lyapunov exponents
- Authors: Vetokhin A.N.1
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Affiliations:
- Russian State University of Tourism and Service
- Issue: Vol 52, No 3 (2016)
- Pages: 272-281
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/153687
- DOI: https://doi.org/10.1134/S0012266116030022
- ID: 153687
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Abstract
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.
About the authors
A. N. Vetokhin
Russian State University of Tourism and Service
Author for correspondence.
Email: vetokhin@front.ru
Russian Federation, Cherkizovo, Moscow Region
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