Nonlinear normal modes in pendulum systems

DOI10.1007/S11071-012-0496-XzbMath1267.34063OpenAlexW2049530574MaRDI QIDQ354101

A. A. Klimenko, Jan Awrejcewicz, Yu. V. Mikhlin

Publication date: 17 July 2013

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

Full work available at URL: https://doi.org/10.1007/s11071-012-0496-x

zbMATH Keywords

nonlinear normal modespendulum systems

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Problems involving a system of particles with friction (70F40) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

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• Asymptotic construction of nonlinear normal modes for continuous systems
• Nonlinear oscillations of an elastic two-degrees-of-freedom pendulum
• Resonance modes of near-conservative nonlinear systems
• Determination of the chaos onset in mechanical systems with several equilibrium positions
• Nonlinear normal modes and their bifurcations for an inertially coupled nonlinear conservative system
• On Steady-State Harmonic Vibrations of Nonlinear Systems With Many Degrees of Freedom

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