Geodesic
About the string with beads
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 3, pp. 301-306 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider a classical problem of free oscillations of the elastic weightless string with $N$ beads which has been originally studied by Lagrange. We prove that for $N$ being prime or a power of $2$ the maximal displacement of the bead from its equilibrium position increases to infinity as $N\to\infty$ while the total energy of system remains bounded by independent on $N$ constant. 
@article{JMAG_2003_10_3_a2,
     author = {A. D. Myshkis and A. M. Filimonov},
     title = {About the string with beads},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {301--306},
     year = {2003},
     volume = {10},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a2/}
}
TY  - JOUR
AU  - A. D. Myshkis
AU  - A. M. Filimonov
TI  - About the string with beads
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2003
SP  - 301
EP  - 306
VL  - 10
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a2/
LA  - en
ID  - JMAG_2003_10_3_a2
ER  - 
%0 Journal Article
%A A. D. Myshkis
%A A. M. Filimonov
%T About the string with beads
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2003
%P 301-306
%V 10
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a2/
%G en
%F JMAG_2003_10_3_a2
A. D. Myshkis; A. M. Filimonov. About the string with beads. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 3, pp. 301-306. http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a2/