Journal of Nonlinear Mathematical Physics

Volume 12, Issue Supplement 1, January 2005, Pages 179 - 183

A Remark on Rational Isochronous Potentials

Authors
Oleg A. Chalykh, Alexander P. Veselov
Corresponding Author
Oleg A. Chalykh
Available Online 1 January 2005.
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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - Supplement 1
Pages
179 - 183
Publication Date
2005/01/01
ISBN
91-974824-3-9
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.s1.15How to use a DOI?
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/).

Cite this article

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  -