The period of a family of nonlinear oscillations and periodic motions of a perturbed system at a critical point of the family

DOI10.1016/j.jappmathmech.2010.11.007zbMath1272.70109OpenAlexW1981792560MaRDI QIDQ370562

V. N. Tkhai

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/S002189281000136X

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) General perturbation schemes for nonlinear problems in mechanics (70K60) Orbital mechanics (70M20)

Related Items (6)

Periodic motions of a perturbed reversible mechanical system ⋮ The law of the dependence of the period of nonlinear oscillations on a single parameter ⋮ Basic oscillation mode in the coupled-subsystems model ⋮ A mechanical system containing weakly coupled subsystems ⋮ The behaviour of the period of symmetrical periodic motions ⋮ Oscillations in the autonomous model containing coupled subsystems

Cites Work

• Periodic motions of a perturbed reversible mechanical system
• Poincaré index and periodic solutions of perturbed autonomous systems
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