A finite-time condition for exponential dichotomy

DOI10.1080/10236198.2010.549005zbMath1225.39002OpenAlexW1995470269MaRDI QIDQ3085099

Kenneth James Palmer

Publication date: 28 March 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/238914/-1/68.pdf

zbMATH Keywords

diffeomorphismexponential dichotomylinear difference equationhomoclinic orbitshyperbolic setalmost periodic systemsslowly varying systemspseudo orbits

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Stability theory for difference equations (39A30) Linear difference equations (39A06)

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Cites Work

• A spectral theory for linear differential systems
• Exponential dichotomies of linear dynamic equations on measure chains under slowly varying coefficients.
• A Remark on Finite‐Time Hyperbolicity