Studying the oscillation, rotation, and wandering indicators by the first approximation

DOI10.1134/s0012266123060034zbMath1523.34016OpenAlexW4386105213MaRDI QIDQ6138447

I. N. Sergeev

Publication date: 5 September 2023

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

Full work available at URL: https://doi.org/10.1134/s0012266123060034

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Cites Work

• On the Baire classification of Sergeev frequencies of zeros and roots of solutions of linear differential equations
• Oscillation, rotation, and wandering exponents of solutions of differential systems
• Characteristic frequencies of zeros of a sum of two harmonic oscillations
• 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
• Coincidence of complete and vector frequencies of solutions of a linear autonomous system
• Lyapunov characteristics of oscillation, rotation, and wandering of solutions of differential systems
• Plane rotability exponents of a linear system of differential equations
• The definition of the indices of oscillation, rotation, and wandering of nonlinear differential systems
• The remarkable agreement between the oscillation and wandering characteristics of solutions of differential systems
• The existence of a two-dimensional bounded system with continual and coinciding spectra of frequencies and of wandering exponents
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item