Dynamics of a mass-spring-pendulum system with vastly different frequencies

DOI10.1007/s11071-012-0428-9zbMath1267.34065OpenAlexW2070609426MaRDI QIDQ354042

Hiba Sheheitli, Richard H. Rand

Publication date: 17 July 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-012-0428-9

zbMATH Keywords

coupled oscillatorsbifurcationsWKB methodDPMmethod of direct partition of motion

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Perturbation methods for rigid body dynamics (70E20)

Related Items (1)

On the influence of resonances on the asymptotic behavior of trajectories of nonlinear systems in critical cases

Cites Work

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• The Normal Modes of Nonlinear n-Degree-of-Freedom Systems
• Hamiltonian systems with widely separated frequencies
• SLOW HIGH-FREQUENCY EFFECTS IN MECHANICS: PROBLEMS, SOLUTIONS, POTENTIALS

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