Lyapunov characteristics of oscillation, rotation, and wandering of solutions of differential systems

DOI10.1007/S10958-018-4025-4zbMath1408.34012OpenAlexW2889510390WikidataQ129317914 ScholiaQ129317914MaRDI QIDQ1991902

I. N. Sergeev

Publication date: 2 November 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-4025-4

zbMATH Keywords

linear systemsrotationoscillationLyapunov exponentswandering

Mathematics Subject Classification ID

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

Related Items (10)

Oriented Rotatability Exponents of Solution of Autonomous Differential Systems ⋮ The definition of the indices of oscillation, rotation, and wandering of nonlinear differential systems ⋮ On essential values of oscillation exponents for solutions of a linear homogeneous two-dimensional differential system ⋮ Spectra of Oscillation and Rotatability Exponents of Solutions of Homogeneous Differential Systems ⋮ On the control of the spectra of upper strong oscillation exponents of signs, zeros, and roots of third-order differential equations ⋮ Studying the oscillation, rotation, and wandering indicators by the first approximation ⋮ Oriented rotatability exponents of solutions to homogeneous autonomous linear differential systems ⋮ On the continuum spectra of the oscillation exponents of linear homogeneous differential systems ⋮ On essential values of Sergeev's frequencies and exponents of oscillation for solutions of a third-order linear differential periodic equation ⋮ Unnamed Item

Cites Work

• Oscillation, rotation, and wandering exponents of solutions of differential systems
• Turnability characteristics of solutions of differential systems
• Oscillation and rotability characteristics of solutions of linear differential systems
• The remarkable agreement between the oscillation and wandering characteristics of solutions of differential systems
• Oscillation and wandering characteristics of solutions of a linear differential system
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