Invariant sets in the Goryachev–Chaplygin problem: existence, stability and branching

DOI10.1016/j.jappmathmech.2006.06.003zbMath1114.70307OpenAlexW2036965143MaRDI QIDQ5294518

Aleksandr Karapetyan

Publication date: 24 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2006.06.003

zbMATH Keywords

Poincaré-Smale diagramtrivial invariant sets

Mathematics Subject Classification ID

Motion of a rigid body with a fixed point (70E17)

Related Items (2)

Stability of stationary motions of mechanical systems with a particular Goryachev-Chaplygin integral ⋮ Nonlinear dynamics of the 3D pendulum

Cites Work

• On a certain property of the characteristic numbers of the solutions of differential equations
• The pendulum-like motions of a rigid body in the Goryachev-Chaplygin case
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