Continual version of the Perron effect of change of values of the characteristic exponents

DOI10.1134/S0012266117110015zbMath1385.34041OpenAlexW2778290489MaRDI QIDQ1701795

N. A. Izobov, Andrew V. Ilin

Publication date: 27 February 2018

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

Full work available at URL: https://doi.org/10.1134/s0012266117110015

zbMATH Keywords

linear approximationtwo-dimensional systemarbitrarily prescribed negative characteristic exponents

Mathematics Subject Classification ID

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

Related Items (3)

On the Baire classification of positive characteristic exponents in the Perron effect of change of their values ⋮ An approach to the stabilization problem of a parametrically uncertain linear nonstationary system ⋮ Construction of an arbitrary Suslin set of positive characteristic exponents in the Perron effect

Cites Work

• Perron effect of infinite change of values of characteristic exponents in any neighborhood of the origin
• Infinite version of the Perron value change effect for characteristic exponents of differential systems
• Sign reversal of the characteristic exponents of solutions of a differential system with initial data on finitely many points and lines
• On the Perron sign change effect for Lyapunov characteristic exponents of solutions of differential systems
• On the mechanism of stability loss
• 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
• TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
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