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The stability of linear periodic Hamiltonian systems on time scales
Date
2013-03-01
Author
Zafer, Ağacık
Metadata
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In this work, we give a new stability criterion for planar periodic Hamiltonian systems, improving the results from the literature. The method is based on an application of the Floquet theory recently established in [J.J. DaCunha, J.M. Davis, A unified Floquet theory for discrete, continuous, and hybrid periodic linear systems, J. Differential Equations 251 (2011) 2987-3027], and the use of a new definition for a generalized zero. The results obtained not only unify the related continuous and discrete ones but also provide sharper stability criteria for the discrete case.
Subject Keywords
Hamiltonian system
,
Time scale
,
Stability
,
Floquet multiplier
URI
https://hdl.handle.net/11511/56445
Journal
APPLIED MATHEMATICS LETTERS
DOI
https://doi.org/10.1016/j.aml.2012.09.014
Collections
Department of Mathematics, Article