Imperial College London
Dr Thai Son Doan

DrThai SonDoan

Faculty of Natural Sciences, Department of Mathematics

Marie Skłodowska-Curie Individual Fellow
 
 
 
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Contact

 

t.doan

 
 
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Location

 

635Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Doan:2016:10.1007/s10884-016-9530-x,
author = {Doan, TS and Palmer, KJ and Rasmussen, M},
doi = {10.1007/s10884-016-9530-x},
journal = {Journal of Dynamics and Differential Equations},
pages = {1459--1485},
title = {The Bohl spectrum for nonautonomous differential equations},
url = {http://dx.doi.org/10.1007/s10884-016-9530-x},
volume = {29},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We develop the Bohl spectrum for nonautonomous lineardifferential equation on a half line, which is a spectral concept that liesbetween the Lyapunov and the Sacker–Sell spectrum. We prove thatthe Bohl spectrum is given by the union of finitely many intervals, andwe show by means of an explicit example that the Bohl spectrum doesnot coincide with the Sacker–Sell spectrum in general even for boundedsystems. We demonstrate for this example that any higher-order nonlinearperturbation is exponentially stable (which is not evident from theSacker–Sell spectrum), but we show that in general this is not true. Wealso analyze in detail situations in which the Bohl spectrum is identicalto the Sacker–Sell spectrum.
AU  - Doan,TS
AU  - Palmer,KJ
AU  - Rasmussen,M
DO  - 10.1007/s10884-016-9530-x
EP  - 1485
PY  - 2016///
SN  - 1572-9222
SP  - 1459
TI  - The Bohl spectrum for nonautonomous differential equations
T2  - Journal of Dynamics and Differential Equations
UR  - http://dx.doi.org/10.1007/s10884-016-9530-x
UR  - http://hdl.handle.net/10044/1/30427
VL  - 29
ER  -
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