A Remark on Rational Isochronous Potentials

DOI

10.2991/jnmp.2005.12.s1.15How to use a DOI?

Abstract

We consider the rational potentials of the one-dimensional mechanical systems, which have a family of periodic solutions with the same period (isochronous potentials). We prove that up to a shift and adding a constant all such potentials have the form U(x) = 1 2 2 x2 or U(x) = 1 8 2 x2 + c2 x-2 .

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Oleg A. Chalykh
AU  - Alexander P. Veselov
PY  - 2005
DA  - 2005/01/01
TI  - A Remark on Rational Isochronous Potentials
JO  - Journal of Nonlinear Mathematical Physics
SP  - 179
EP  - 183
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.15
DO  - 10.2991/jnmp.2005.12.s1.15
ID  - Chalykh2005
ER  -