Results 141 to 150 of about 808,768 (351)

Fixing two eigenvalues by a minimal perturbation

Linear Algebra and its Applications, 2005
AbstractThe optimal perturbation, ΔM, to a matrix, M, such that M−ΔM has a given eigenvalue λ0 is given by the Eckart–Young theorem. This perturbation is optimal in the sense that ∥ΔM∥2 is minimal. In this article, we present a generalization, finding ∥ΔM∥2 optimal perturbations of M such that M−ΔM has two of given eigenvalues.
openaire   +2 more sources

Attractors for an Energy‐Damped Viscoelastic Plate Equation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso, M. J. D. Nascimento, M. L. Pelicer, I. A. S. Picolli   +3 more
wiley   +1 more source

Second Order Eigensensitivities of Singularly Perturbed Systems

Journal of King Saud University: Engineering Sciences, 1994
In this paper, second order eigenvalue sensitivities are derived with respect to the singular perturbation parameter whose variation changes the reduced system order.
Zaglol S. Elrazaz, Awadh A. Al-Digs
doaj  

Perturbation of embedded eigenvalues [PDF]

Bulletin of the American Mathematical Society, 1972
openaire   +3 more sources

Uncertainty Quantification for Nonlinear Vibration of Supercritical Drive Shaft With a Dry Friction Damper

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The supercritical drive shaft is becoming increasingly popular in helicopter transmission system. Dry friction dampers are specially employed to ensure the supercritical shafts crossing the critical speed safely. Due to design tolerances, manufacturing errors and time‐varying factors, the parameters of the damper are inherently uncertain ...
Liyao Song, Meijun Liao, Weifang Chen, Rupeng Zhu, Dan Wang   +4 more
wiley   +1 more source

Perturbation theory of nonlinear, non-self-adjoint eigenvalue problems: Simple eigenvalues

, 2020
G. A. Mensah, A. Orchini, J. Moeck
semanticscholar   +1 more source

Perturbation theory of multiparameter eigenvalue problems

Journal of Mathematical Analysis and Applications, 1988
AbstractWe investigate the multiparameter eigenvalue problem in the case where some of the operators depend holomorphically on a perturbation parameter. The behaviour of eigenvalues of finite multiplicity, together with the associated eigenvectors, is considered as the perturbation parameter is varied.
openaire   +2 more sources

Quantifying community keystoneness in metacommunities under disturbance

Oikos, EarlyView.
Understanding how metacommunities respond to natural and anthropogenic disturbances is a key objective in ecology. In this study, we introduce an analytical framework to identify communities whose extirpation triggers stronger (hereafter keystone communities) or weaker (hereafter idle communities) cascading effects on extinction and colonization events
Gabriel Khattar, Pedro R. Peres-Neto
wiley   +1 more source

Non‐native species affect the long‐term dynamics of native stream fish assemblages

Oikos, EarlyView.
Characterizing the temporal changes of biotic communities and disentangling the importance of their driving mechanisms are central themes in ecology and environmental management. Non‐native species have multiple adverse impacts on native communities and species.
István Czeglédi, Péter Takács, Kai Feng, Tibor Erős   +3 more
wiley   +1 more source

Existence and perturbation of principal eigenvalues for a periodic-parabolic problem

Electronic Journal of Differential Equations, 2000
We give a necessary and sufficient condition for the existence of a positive principal eigenvalue for a periodic-parabolic problem with indefinite weight function.
Daniel Daners
doaj