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Slow and fast invariant manifolds, and normal modes in a two degree-of-freedom structural dynamical system with multiple equilibrium states

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Publication:1372513
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DOI10.1016/S0020-7462(97)00017-6zbMath0907.70012OpenAlexW2090216868MaRDI QIDQ1372513

Ioannis T. Georgiou, Anil K. Bajaj, Martin Corless

Publication date: 13 November 1997

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7462(97)00017-6


zbMATH Keywords

singular perturbationsingular parameteranalytic-geometric approachconservative soft-stiff structural systemformal asymptotic expressions


Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Free motions for nonlinear problems in mechanics (70K25)


Related Items (4)

Bounds for the chaotic region in the Lorenz model ⋮ Delayed Hopf bifurcation in time-delayed slow-fast systems ⋮ Effect of processing delay on bifurcation delay in a network of slow-fast oscillators ⋮ Convergence of martingale solutions to the hybrid slow-fast system




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