On the Baire classification of positive characteristic exponents in the Perron effect of change of their values

DOI10.1134/S0012266118110010zbMath1418.34110OpenAlexW2905202770MaRDI QIDQ1731301

N. A. Izobov, Andrew V. Ilin

Publication date: 13 March 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266118110010

zbMATH Keywords

Perron effectcharacteristic exponentsecond Baire class

Mathematics Subject Classification ID

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

Related Items (2)

Constructing countably many distinct Suslin sets of characteristic exponents in the Perron effect of change of their values ⋮ Construction of an arbitrary Suslin set of positive characteristic exponents in the Perron effect

Cites Work

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• On the Perron sign change effect for Lyapunov characteristic exponents of solutions of differential systems
• Generalization of the Perron effect whereby the characteristic exponents of all solutions of two differential systems change their sign from negative to positive
• On the mechanism of stability loss
• Continual version of the Perron effect of change in values of characteristic exponents
• Continual version of the Perron effect of change of values of the characteristic exponents
• Multidimensional analog of the two-dimensional Perron effect of sign change of characteristic exponents for infinitely differentiable differential systems
• Finite-dimensional Perron effect of change of all values of characteristic exponents of differential systems
• Realization of the Perron effect whereby the characteristic exponents of solutions of differential systems change their values

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