Oscillation, rotation, and wandering exponents of solutions of differential systems

DOI10.1134/S0001434616050114zbMATH Open1359.34018OpenAlexW2460314749MaRDI QIDQ325526

I. N. Sergeev

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434616050114

zbMATH Keywords

Lyapunov type exponents

Mathematics Subject Classification ID

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

Cites Work

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• Characteristic frequencies of zeros of a sum of two harmonic oscillations
• Properties of characteristic frequencies of linear equations of arbitrary order
• Turnability characteristics of solutions of differential systems
• Oscillation and rotability characteristics of solutions of linear differential systems
• Definition and properties of characteristic frequencies of a linear equation
• Oscillation and wandering of solutions to a second order differential equation
• 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

Related Items (14)

Oriented Rotatability Exponents of Solution of Autonomous Differential Systems ⋮ Oscillation, rotation, and wandering of solutions to linear 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 ⋮ Studying the oscillation, rotation, and wandering indicators by the first approximation ⋮ Oriented rotatability exponents of solutions to homogeneous autonomous linear differential systems ⋮ On essential values of Sergeev's frequencies and exponents of oscillation for solutions of a third-order linear differential periodic equation ⋮ Lyapunov characteristics of oscillation, rotation, and wandering of solutions of differential systems ⋮ Study of the complete oscillation, rotation, and wandering properties of a differential system by the first approximation ⋮ On some properties of strong oscillation exponents of solutions of linear homogeneous differential equations ⋮ On some properties of strong oscillation exponents of solutions to homogeneous linear differential equations ⋮ Plane rotability exponents of a linear system of differential equations ⋮ Oscillation, rotatability, and wandering characteristic indicators for differential systems determining rotations of plane ⋮ A description of the spectrum of Sergeev frequencies of zeros of linear difference equations

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