Bifurcation and stability properties of periodic solutions to two nonlinear spring-mass systems

DOI10.1016/j.na.2005.01.091zbMath1086.34035OpenAlexW2087877523MaRDI QIDQ1780780

N. Ben-Gal, Kristen S. Moore

Publication date: 13 June 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.091

zbMATH Keywords

stabilityperiodic solutionsbifurcationsuspension bridgecontinuationnonlinear spring-mass

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

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A precise calculation of bifurcation points for periodic solution in nonlinear dynamical systems ⋮ Example of a suspension bridge ODE model exhibiting chaotic dynamics: a topological approach

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