The Transformation of Second-Order Linear Systems into Independent Equations

DOI10.1137/100818637zbMath1232.34060OpenAlexW1987904664MaRDI QIDQ3097520

Fai Ma, Matthias Morzfeld, Beresford N. Parlett

Publication date: 10 November 2011

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://escholarship.org/uc/item/5418q1g0

zbMATH Keywords

phase synchronizationquadratic eigenvalue problemsecond-order linear differential equations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Related Items (6)

Compatibility aspects of the method of phase synchronization for decoupling linear second-order differential equations ⋮ A canonical form of the equation of motion of linear dynamical systems ⋮ Spectral filters connecting high order systems ⋮ A case study of separability of second-order differential equations ⋮ Reduction of Matrix Polynomials to Simpler Forms ⋮ Decoupling of second-order linear systems by isospectral transformation

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