Imperial College London
Alternate

Professor Mark Haskins FLSW

Faculty of Natural Sciences, Department of Mathematics

Visiting Professor
 
 
 
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Contact

 

+44 (0)20 7594 8550m.haskins CV

 
 
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Location

 

668Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Haskins:1998,
author = {Haskins, M},
journal = {Nonlinearity},
pages = {1651--1671},
title = {Breathers in the weakly coupled topological discrete sine-Gordon system},
url = {http://iopscience.iop.org/0951-7715/11/6/013/},
volume = {11},
year = {1998}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Existence of breather (spatially localized, time periodic, oscillatory) solutions of the topological discrete sine-Gordon (TDSG) system, in the regime of weak coupling, is proved. The novelty of this result is that, unlike the systems previously considered in studies of discrete breathers, the TDSG system does not decouple into independent oscillator units in the weak coupling limit. The results of a systematic numerical study of these breathers are presented, including breather initial profiles and a portrait of their domain of existence in the frequency-coupling parameter space. It is found that the breathers are uniformly qualitatively different from those found in conventional spatially discrete systems.
AU  - Haskins,M
EP  - 1671
PY  - 1998///
SP  - 1651
TI  - Breathers in the weakly coupled topological discrete sine-Gordon system
T2  - Nonlinearity
UR  - http://iopscience.iop.org/0951-7715/11/6/013/
VL  - 11
ER  -
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