Orbital stability analysis using first integrals

DOI10.1016/0021-8928(89)90071-3zbMath0734.70010OpenAlexW1992911434MaRDI QIDQ811146

A. Z. Bryum

Publication date: 1989

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(89)90071-3

zbMATH Keywords

periodic solutionsLyapunov functionphase trajectoriesfirst integralsorbital stabilityLyapunov's second methodsystems of ordinary differential quations

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (4)

The orbital stability analysis of pendulum oscillations of a heavy rigid body with a fixed point under the Goryachev-Chaplygin condition ⋮ The stability of the plane periodic motions of a symmetrical rigid body with a fixed point ⋮ On the Orbital Stability of Pendulum-like Oscillations of a Heavy Rigid Body with a Fixed Point in the Bobylev – Steklov Case ⋮ On the Stability of Pendulum-type Motions in the Approximate Problem of Dynamics of a Lagrange Top with a Vibrating Suspension Point

Cites Work

• On a certain property of the characteristic numbers of the solutions of differential equations
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