Forced oscillations, bifurcations and stability of a molecular system Part 1: Non-resonance

DOI10.1080/00207729608929340zbMath0869.34034OpenAlexW2083373359MaRDI QIDQ3124292

Pei Yu, Koncay Huseyin, Ufuk Taneri

Publication date: 17 August 1997

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729608929340

zbMATH Keywords

quasi-periodic motionsMAPLEmolecular systemharmonic balancingperiodic excitation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (3)

Effect of external excitations on a nonlinear system with time delay ⋮ Computation of the normal forms for general M-DOF systems using multiple time scales. II: Non-autonomous systems ⋮ Forced oscillations, bifurcations and stability of a molecular system Part 2: Resonances

Uses Software

• Maple

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On bifurcation into nonresonant quasi-periodic motions
• Forced oscillations, bifurcations and stability of a molecular system Part 2: Resonances
• Unnamed Item

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