On quadratic eigenvalue problems arising in stability of discrete vortices

DOI10.1016/j.laa.2009.03.054zbMath1176.15010OpenAlexW1983760242MaRDI QIDQ1030759

Marina Chugunova, Dmitry E. Pelinovsky

Publication date: 2 July 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.03.054

zbMATH Keywords

nonlinear Schrödinger equationgeneralized eigenvalue problemquadratic eigenvalue problemneuron networksPontryagin invariant subspace theoremsymmetric operators in sign-indefinite spacesunstable eigenvalues and bifurcation

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Eigenvalue problems for linear operators (47A75) Discrete version of topics in analysis (39A12) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Matrix pencils (15A22)

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Cites Work

• Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices
• Persistence and stability of discrete vortices in nonlinear Schrödinger lattices
• Slow damping of internal waves in a stably stratified fluid
• Linear stability of perturbed Hamiltonian systems: theory and a case example
• Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
• Unnamed Item

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