Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

The potential force yielding a periodic motion whose period is an arbitrary continuous function of the amplitude of the velocity

  • 81 Accesses

  • 26 Citations

This is a preview of subscription content, log in to check access.

References

  1. [1]

    Urabe, M.: Potential forces which yield periodic motions of a fixed period. J. Math. Mech. 10, 569–578 (1961).

  2. [2]

    Whittaker, E. T., & G. N. Watson: A Course in Modern Analysis, Cambridge University Press, 4th ed., 1927, p. 229.

Download references

Author information

Additional information

Communicated by L. Cesari

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Urabe, M. The potential force yielding a periodic motion whose period is an arbitrary continuous function of the amplitude of the velocity. Arch. Rational Mech. Anal. 11, 27–33 (1962). https://doi.org/10.1007/BF00253926

Download citation

Keywords

  • Neural Network
  • Continuous Function
  • Complex System
  • Nonlinear Dynamics
  • Electromagnetism