On the orbital stability of a periodic solution of the equations of motion of a Kovalevskaya gyroscope

DOI10.1016/0021-8928(86)90084-5zbMath0628.70021OpenAlexW2088566535MaRDI QIDQ1093392

A. Z. Bryum, A. Ya. Savchenko

Publication date: 1986

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(86)90084-5

zbMATH Keywords

Lyapunov stabilityperiodic solutionsufficient conditionsinitial conditionsorbital stabilityBobylev-Steklov integrabilityChetayev methodEuler- Poisson equationsfirst integrals of the equations of perturbed motionKovalevskaya gyroscope

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Perturbation methods for rigid body dynamics (70E20)

Related Items (3)

The orbital stability analysis of pendulum oscillations of a heavy rigid body with a fixed point under the Goryachev-Chaplygin condition ⋮ Asymptotic orbital stability conditions for flows by estimates of singular values of the linearization ⋮ Orbital stability of nonlinear Schrödinger-Kirchhoff equations

Cites Work

• Stability and stabilization of periodic motions of autonomous systems
• On asymptotic stability and instability of motion with respect to a part of the variables
• Survey of works on conditions of stability of the trivial solution of a system of linear differential equations with periodic coefficients
• On a certain property of the characteristic numbers of the solutions of differential equations
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