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Numerical determination of asymmetric periodic solutions

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Abstract

A simple predictor-corrector procedure is described for the determination of ‘asymmetric’ periodic solutions of dynamical systems of two degrees of freedom. An application in the case of the Störmer problem is given. The computed periodic motions of the charged particle are of the open-path type.

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References

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Markellos, V.V., Halioulias, A.A. Numerical determination of asymmetric periodic solutions. Astrophys Space Sci 46, 183–193 (1977). https://doi.org/10.1007/BF00643763

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Keywords

  • Dynamical System
  • Periodic Solution
  • Charged Particle
  • Periodic Motion
  • Numerical Determination