Authors
Citation
M. Robnik et Vg. Romanovski, On Urabe's criteria of isochronicity, J PHYS A, 32(7), 1999, pp. 1279-1283
Citations number
9
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470
→ ACNP
Volume
32
Issue
7
Year of publication
1999
Pages
1279 - 1283
Database
ISI
SICI code
0305-4470(19990219)32:7<1279:OUCOI>2.0.ZU;2-#
Abstract
We give a short proof of Urabe's criteria for the isochronicity of periodic
al solutions of the equation t g(x) double overdot = 0. We show that apart
from the harmonic oscillator there exists a large family of isochronous pot
entials which must all be non-polynomial and not symmetric tan even functio
n of the coordinate x).