Perturbations of circuit evolution matrices with Jordan blocks

DOI10.1063/5.0039970zbMath1462.78015arXiv2011.09425OpenAlexW3156360470MaRDI QIDQ4987892

Alexander Figotin

Publication date: 4 May 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09425

zbMATH Keywords

circuit evolutiondegenerate eigenfrequenciesnontrivial Jordan blocks

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Technical applications of optics and electromagnetic theory (78A55) Analytic circuit theory (94C05)

Related Items (2)

Analytic theory of multicavity klystrons ⋮ Exceptional points of degeneracy in traveling wave tubes

Cites Work

• Analytic perturbation theory for matrices and operators. Licensed ed
• Perturbation theory for linear operators.
• On Explicit Recursive Formulas in the Spectral Perturbation Analysis of a Jordan Block
• Synthesis of lossless electric circuits based on prescribed Jordan forms
• Basic Complex Analysis
• On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure
• Nonconservative stability problems of modern physics
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