Generalization of Abel's mechanical problem: The extended isochronicity condition and the superposition principle

DOI10.1063/1.4865996zbMath1286.70026OpenAlexW2128065251MaRDI QIDQ5414785

Tohru Kinugawa

Publication date: 7 May 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4865996

Mathematics Subject Classification ID

Free motions for nonlinear problems in mechanics (70K25)

Cites Work

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• Abel integral equations. Analysis and applications
• The potential force yielding a periodic motion whose period is an arbitrary continuous function of the amplitude of the velocity
• Isochronicity of analytic systems via Urabe's criterion
• On Urabe's criteria of isochronicity
• On the quantum spectrum of isochronous potentials

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