On Urabe’s criteria of isochronicity
نویسندگان
چکیده
We give a short proof of Urabe’s criteria for the isochronicity of periodical solutions of the equation ẍ+ g(x) = 0. We show that apart from the harmonic oscillator there exists a large family of isochronous potentials which must be all non-polynomial and not symmetric (even function of the coordinate x). PACS numbers: 46.10.+z, 95.10.Ce AMS classification scheme numbers: 34C05 Published in Journal of Physics A: Mathematical and General Vol. 32 (1999) 1279-1283 e–mail: [email protected] e–mail: [email protected]
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تاریخ انتشار 1998