Particle Dynamics in Time-Dependent Coulomb Field

Research output: Contribution to journalArticlepeer-review


We study a non-autonomous differential equation describing the one-dimensional motion of a particle interacting with a charged source at the origin. The charge of the source is piece-wise constant; it alternates between two different values, one being positive and the other being negative. We show that the alternation of the charge enriches the behaviour of the system, exhibiting qualitatively new features.
In particular, we find necessary and sufficient conditions for the parameters of the model which yield periodic bounded solutions, and we describe some necessary conditions as well.
Original languageEnglish
Pages (from-to)197-227
JournalMarkov Processes and Related Fields
Issue number2
Publication statusPublished - 2021

Subject classification (UKÄ)

  • Probability Theory and Statistics

Free keywords

  • Coulumb mechanics
  • time-dependent forces
  • stable cycles
  • point particles


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