The equations of the approximate theory of the motion of a rigid body with a vibrating suspension point

DOI10.1016/j.jappmathmech.2011.05.002zbMath1272.70055OpenAlexW2019810821MaRDI QIDQ370624

Anatoliy P. Markeev

Publication date: 19 September 2013

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

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021892811000542

Mathematics Subject Classification ID

Stability problems in rigid body dynamics (70E50) Dynamics of a rigid body and of multibody systems (70E99)

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Cites Work

• The inverted pendulum: A singularity theory approach
• Asymptotic analysis of dynamical systems subjected to high-frequency interactions
• The behaviour of a nonlinear Hamiltonian system with one degree of freedom at the boundary of a parametric resonance domain
• The stability of the equilibrium of a pendulum for vertical oscillations of the point of suspension
• KAM theory, Lindstedt series and the stability of the upside-down pendulum
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