| Issue |
ESAIM: COCV
Volume 11, Number 1, January 2005
|
|
|---|---|---|
| Page(s) | 72 - 87 | |
| DOI | https://doi.org/10.1051/cocv:2004033 | |
| Published online | 15 December 2004 | |
On periodic motions of a two dimensional Toda type chain
1
Dipartimento di Mathematica, Universita di Roma
Tre, Via S. Leonardo Murialdo 1, Roma, Italy; mancini@matrm3.mat.uniroma3.it
2
TIFR
Centre, IISc Campus, PB 1234, Bangalore – 560 012, India; srikanth@math.tifrbng.res.in
Received:
22
July
2003
In this paper we consider a chain of strings with fixed end points coupled with nearest neighbour interaction potential of exponential type, i.e.
We consider the case of “closed chains" i.e. 
and some 
and look for solutions which are peirodic
in time. The existence of periodic solutions for the dual problem is proved in
Orlicz space setting.
Mathematics Subject Classification: 58E30 / 37J45
Key words: Periodic / Toda type chain.
© EDP Sciences, SMAI, 2005
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