Stability diagrams of the periodic motions of a pendulum with an oscillating axis

DOI10.1016/0021-8928(88)90057-3zbMath0691.70008OpenAlexW2030783241MaRDI QIDQ582953

Z. S. Batalova, G. V. Belyakova

Publication date: 1988

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(88)90057-3

zbMATH Keywords

stabilityperiodic solutionsbifurcationsparametrically excited nonlinear oscillator

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Computational methods for problems pertaining to mechanics of particles and systems (70-08)

Cites Work

• Separating the rapid and slow motions in the problems of the dynamics of systems of rigid bodies and gyroscopes
• Integral manifolds and decomposition of singularly perturbed systems
• On the admissibility of application of precession equations of gyroscopic systems
• On the precession equations of gyroscopic systems
• The linearization principle and invariant manifolds for problems of magnetohydrodynamics
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