On some methods for investigating stability

DOI10.1070/SM2001V192N03ABEH000551zbMath1026.34057OpenAlexW2126381504MaRDI QIDQ2759316

Yu. A. Konyaev

Publication date: 3 January 2002

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2001v192n03abeh000551

zbMATH Keywords

perturbationnormal formFloquet theoryresonancesplitting method

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations of ordinary differential equations (34D15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Asymptotic properties of solutions to ordinary differential equations (34D05) Asymptotic expansions of solutions to ordinary differential equations (34E05) Nonautonomous smooth dynamical systems (37C60) Motion of the gyroscope (70E05)

Related Items (4)

Specific features of the study of nonautonomous differential equations with exponential-type matrices ⋮ Asymptotic analysis of a model gyro system ⋮ Analysis of nonautonomous systems of ordinary differential equations with exponentially periodic matrix ⋮ An asymptotic method for reducing systems of differential equations with almost-periodic matrices

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