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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 68–71 (Mi semr307)  
Short communications

Meromorphic potentials of isochronous Newton systems

V. V. Ivanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: 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, isochronous oscillations, zeroes and poles of analytic functions, meromorphic involutions.
Received March 15, 2011, published March 16, 2011
Document Type: Article
UDC: 517.5, 517.9
MSC: 34C25
Language: Russian
Citation: V. V. Ivanov, “Meromorphic potentials of isochronous Newton systems”, Sib. Èlektron. Mat. Izv., 8 (2011), 68–71
Citation in format AMSBIB
\Bibitem{Iva11}
\by V.~V.~Ivanov
\paper Meromorphic potentials of isochronous Newton systems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages 68--71
\mathnet{http://mi.mathnet.ru/semr307}
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