Relationship between the Green and Lyapunov functions in linear extensions of dynamical systems

DOI10.1007/S11253-014-0958-ZzbMath1348.37048OpenAlexW1963637454MaRDI QIDQ2260827

I. M. Hrod, V. L. Kulyk

Publication date: 12 March 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-014-0958-z

zbMATH Keywords

linearizationinvariant manifoldspertubations

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Dynamics induced by flows and semiflows (37C10) Invariant manifold theory for dynamical systems (37D10) Invariant manifolds for ordinary differential equations (34C45)

Related Items (4)

Green-Samoilenko function of linear extensions of dynamical systems on a torus ⋮ On some constructions of regular linear extensions of dynamical systems on a torus ⋮ Relationship between the Green and Lyapunov functions in linear extensions of dynamical systems ⋮ Construction of Lyapunov functions in the form of pencils of quadratic forms

Cites Work

• On the reducibility of almost periodic systems of linear differential equations
• Relationship between the Green and Lyapunov functions in linear extensions of dynamical systems
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