Linear version of the anti-Perron effect of change of positive characteristic exponents to negative ones

DOI10.1134/S00122661220110015MaRDI QIDQ2111791

N. A. Izobov, Andrew V. Ilin

Publication date: 17 January 2023

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

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) Nonautonomous smooth dynamical systems (37C60)

Related Items (1)

Existence of an anti-Perron effect of change of positive exponents of the linear approximation system to negative ones under perturbations of a higher order of smallness

Cites Work

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• On the existence of linear differential systems with all positive characteristic exponents of the first approximation and with exponentially decaying perturbations and solutions
• 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
• On linear systems asymptotically equivalent under exponentially decaying perturbations

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