Geodesic
Meromorphic potentials of isochronous Newton systems
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 68-71 Cet article a éte moissonné depuis la source Math-Net.Ru

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Criteria are indicated for isochronicity of a potential Newton system with one degree of freedom. Isochronous systems with whole and meromorphic potentials are completely described.
Keywords: potential energy, amplitude and frequency of oscillations, Abel's integral transform, zeroes and poles of analytic functions, meromorphic involutions.
Mots-clés : isochronous oscillations 
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     author = {V. V. Ivanov},
     title = {Meromorphic potentials of isochronous {Newton} systems},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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V. V. Ivanov. Meromorphic potentials of isochronous Newton systems. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 68-71. http://geodesic.mathdoc.fr/item/SEMR_2011_8_a34/

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[3] Ivanov V. V., “Isochronous Oscillations in a Conservative Newton System”, Mezhdunarodnaya konferentsiya “Geometriya i prilozheniya”, Tez. dokl. (Novosibirsk, 13–16 marta 2000 g.), Izd-vo In-ta matematiki, Novosibirsk, 2000, 47–48