The stability of linear periodic Hamiltonian systems on time scales

Date

2013-03-01

Author

Zafer, Ağacık

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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

Collections

Department of Mathematics, Article