Can a semi-simple eigenvalue admit fractional sensitivities?

DOI10.1016/j.amc.2014.01.178zbMath1338.15043OpenAlexW2021062242MaRDI QIDQ299439

Angelo Luongo, Manuel Ferretti

Publication date: 22 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.178

zbMATH Keywords

sensitivity analysissingular perturbationscirculatory systemssemi-simple eigenvaluestability domain

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Singular perturbations of ordinary differential equations (34D15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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A paradigmatic minimal system to explain the Ziegler paradox ⋮ Piezoelectric control of the Hopf bifurcation of Ziegler's column with nonlinear damping ⋮ Postcritical behavior of a discrete Nicolai column ⋮ Parametric design of the band structure for lattice materials ⋮ Linear stability of piezoelectric-controlled discrete mechanical systems under nonconservative positional forces

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• Free vibrations and sensitivity analysis of a defective two degree-of-freedom system

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