Generalization of the Floquet theory

DOI10.1016/J.NA.2008.11.033zbMath1182.34066OpenAlexW2039505096MaRDI QIDQ1026071

Changwu Zou, Shi, Jinlin

Publication date: 24 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.11.033

zbMATH Keywords

Floquet theoryperiodic systemtopological equivalence

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (2)

Floquet theory for a Volterra integro-dynamic system ⋮ Floquet theory based on new periodicity concept for hybrid systems involving \(q\)-difference equations

Cites Work

• A characterization of exponential dichotomy in terms of topological equivalence
• The structurally stable linear systems on the half-line are those with exponential dichotomies
• On Hartman's linearization theorem and Palmer's linearization theorem
• A generalization of Hartman's linearization theorem
• Local Contractions and a Theorem of Poincare
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• On the Local Linearization of Differential Equations
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point
• Global topological linearization in critical case
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