Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction

DOI10.1007/s11071-016-2974-zzbMath1371.37098arXiv1602.00560OpenAlexW2964025625WikidataQ56907474 ScholiaQ56907474MaRDI QIDQ2407573

Sten Ponsioen, György Haller

Publication date: 6 October 2017

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

Full work available at URL: https://arxiv.org/abs/1602.00560

zbMATH Keywords

invariant manifoldsmodel reductionnonlinear normal modes

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Normal forms for dynamical systems (37G05) Invariant manifold theory for dynamical systems (37D10) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

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