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Two masses in relative Hooke's potential and elliptic integrals

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Publication:2675787
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DOI10.1007/s44198-022-00036-xzbMath1497.70002OpenAlexW4213087273WikidataQ114215771 ScholiaQ114215771MaRDI QIDQ2675787

Piotr Krasoń, Jan Milewski

Publication date: 26 September 2022

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

Full work available at URL: https://doi.org/10.1007/s44198-022-00036-x


zbMATH Keywords

elliptic integralsHooke's lawrelative motion of two massesrelative potential


Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Kinematics of a particle (70B05)



Uses Software

  • Mathematica


Cites Work

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  • Suppression of chaos in a generalized Duffing oscillator with fractional-order deflection
  • The saddle case of Rayleigh-Duffing oscillators
  • Elliptic functions and applications
  • The generalized Duffing oscillator
  • A pendulum with an elliptic-type parametric excitation: stability charts for a damped and undamped system
  • On a generalization of Lissajous curves and its applications
  • Analytical solutions of bound timelike geodesic orbits in Kerr spacetime
  • The motion of two masses coupled to a finite mass spring


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