Plane rotability exponents of a linear system of differential equations

DOI10.1007/s10958-019-04621-2zbMath1437.34018OpenAlexW2989696117WikidataQ126671008 ScholiaQ126671008MaRDI QIDQ2307737

I. N. Sergeev

Publication date: 25 March 2020

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

Full work available at URL: https://doi.org/10.1007/s10958-019-04621-2

Mathematics Subject Classification ID

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

Related Items

The definition of the indices of oscillation, rotation, and wandering of nonlinear differential systems, Studying the oscillation, rotation, and wandering indicators by the first approximation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Baire classification of Sergeev frequencies of zeros and roots of solutions of linear differential equations
• Wandering velocity and wandering exponent spectra for linear differential systems of a special form
• Oscillation, rotation, and wandering exponents of solutions of differential systems
• Characteristic frequencies of zeros of a sum of two harmonic oscillations
• Properties of characteristic frequencies of linear equations of arbitrary order
• Spectrum of the upper wanderability exponent of solutions of two-dimensional triangular differential systems
• Turnability characteristics of solutions of differential systems
• Estimates for the wandering rate of solutions of a linear differential equation via its coefficients
• Definition and properties of characteristic frequencies of a linear equation
• Oscillation, rotation, and wandering of solutions to linear differential systems
• The example of a differential system with continual spectrum of wandering exponent
• Imaginary exponents of a linear equation
• Generic values of generalized wandering exponents of autonomous systems
• The absence of residual property for total hyper-frequencies of solutions to third order differential equations
• 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