Realization of the Perron effect whereby the characteristic exponents of solutions of differential systems change their values

DOI10.1134/S0012266110110029zbMath1217.34090MaRDI QIDQ2429695

N. A. Izobov, Sergey K. Korovin

Publication date: 1 April 2011

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

zbMATH Keywords

linear systemsperturbationcharacteristic exponents

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (5)

Continual version of the Perron effect of change of values of the characteristic exponents ⋮ On the Baire classification of positive characteristic exponents in the Perron effect of change of their values ⋮ Infinite version of the Perron value change effect for characteristic exponents of differential systems ⋮ Multidimensional Perron sign change effect for all characteristic exponents of differential systems ⋮ Description of a linear Perron effect under parametric perturbations of a linear differential system with unbounded coefficients

Cites Work

• On the Perron sign change effect for Lyapunov characteristic exponents of solutions of differential systems
• A remark on the simultaneous \(\alpha \)-stabilization of linear plants
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