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Interaction of eigenvalues in multi-parameter problems

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Publication:2881680
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DOI10.1016/S0022-460X(03)00360-2zbMath1236.70018OpenAlexW1980510529MaRDI QIDQ2881680

Alexander P. Seyranian, Alexei A. Mailybaev

Publication date: 3 May 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-460x(03)00360-2



Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Modal analysis in linear vibration theory (70J10)


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Post-critical analysis of ground resonance phenomenon: effect of stator asymmetry ⋮ Bifurcation characteristics analysis of a class of nonlinear dynamical systems based on singularity theory ⋮ Application of Krein's theorem and bifurcation theory for stability analysis of a bladed rotor ⋮ A high order continuation method to locate exceptional points and to compute Puiseux series with applications to acoustic waveguides ⋮ Stability and Hamiltonian Hopf bifurcation for a nonlinear symmetric bladed rotor




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