On quadratic eigenvalue problems arising in stability of discrete vortices
type: Item
instance of: scholarly article
title: On quadratic eigenvalue problems arising in stability of discrete vortices
zbMATH Open document ID: 1176.15010
author: Marina Chugunova
author: Dmitry Pelinovsky
published in: Linear Algebra and its Applications
publication date: 2009-07-02T00:00:00Z
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A22
Mathematics Subject Classification ID: 37J25
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 5574579
zbMATH Keywords: quadratic eigenvalue problem
zbMATH Keywords: generalized eigenvalue problem
zbMATH Keywords: symmetric operators in sign-indefinite spaces
zbMATH Keywords: unstable eigenvalues and bifurcation
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: Pontryagin invariant subspace theorem
zbMATH Keywords: neuron networks
MaRDI profile type: Publication
full work available at URL: j.laa.2009.03.054
OpenAlex ID: W1983760242
cites work: Slow damping of internal waves in a stably stratified fluid
cites work: Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
cites work: Linear stability of perturbed Hamiltonian systems: theory and a case example
cites work: Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices
cites work: Q3994769
cites work: Persistence and stability of discrete vortices in nonlinear Schrödinger lattices
DOI: 10.1016/J.LAA.2009.03.054
description: scientific article; zbMATH DE number 5574579