Emptiness of set of points of lower semicontinuity of Lyapunov exponents

DOI10.1134/S0012266116030022zbMath1347.34089MaRDI QIDQ309814

A. N. Vetokhin

Publication date: 7 September 2016

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

parametric families of differential systems

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (3)

Structure of the sets of points of semicontinuity for the Lyapunov exponents of linear systems continuously depending on a parameter in the uniform norm on the half-line ⋮ Complete description of the Lyapunov spectra of families of linear differential systems whose dependence on the parameter is continuous uniformly on the time semiaxis ⋮ Functions determined by the Lyapunov exponents of families of linear differential systems continuously depending on the parameter uniformly on the half-line

Cites Work

• Typical property of Lyapunov exponents
• Baire class of the Lyapunov indices
• On the set of lower semicontinuity points of Lyapunov exponents of linear systems with a continuous dependence on a real parameter

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