The definition of the indices of oscillation, rotation, and wandering of nonlinear differential systems

DOI10.3103/S0027132221030074OpenAlexW3199685867MaRDI QIDQ2666938

I. N. Sergeev

Publication date: 23 November 2021

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132221030074

zbMATH Keywords

rotationoscillationnonlinear systemLyapunov exponentsdifferential systemcharacteristic frequencieswandering

Mathematics Subject Classification ID

Stability theory for ordinary differential equations (34Dxx) Qualitative theory for ordinary differential equations (34Cxx) General theory for ordinary differential equations (34Axx)

Related Items (2)

Comparing the spectra of oscillation exponents of a nonlinear system and the first approximation system ⋮ Studying the oscillation, rotation, and wandering indicators by the first approximation

Cites Work

• Turnability characteristics of solutions of differential systems
• Definition and properties of characteristic frequencies of a linear equation
• Lyapunov characteristics of oscillation, rotation, and wandering of solutions of differential systems
• Plane rotability exponents of a linear system of differential equations
• Oscillation, rotatability, and wandering characteristic indicators for differential systems determining rotations of plane
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