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Particle Dynamics in Time-Dependent Coulomb Field

Turova, Tatyana LU and Cronvall, Joakim LU (2021) In Markov Processes and Related Fields 27(2). p.197-227
Abstract
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.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Coulumb mechanics, time-dependent forces, stable cycles, point particles
in
Markov Processes and Related Fields
volume
27
issue
2
pages
197 - 227
publisher
Polymat Ltd
external identifiers
  • scopus:85147264939
ISSN
1024-2953
language
English
LU publication?
yes
id
6a4a3243-e8f0-4e40-a04a-e4ef8d703496
alternative location
https://dlib.eastview.com/browse/doc/67455249
date added to LUP
2021-12-15 15:12:39
date last changed
2023-02-16 04:00:20
@article{6a4a3243-e8f0-4e40-a04a-e4ef8d703496,
  abstract     = {{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.<br/>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.}},
  author       = {{Turova, Tatyana and Cronvall, Joakim}},
  issn         = {{1024-2953}},
  keywords     = {{Coulumb mechanics; time-dependent forces; stable cycles; point particles}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{197--227}},
  publisher    = {{Polymat Ltd}},
  series       = {{Markov Processes and Related Fields}},
  title        = {{Particle Dynamics in Time-Dependent Coulomb Field}},
  url          = {{https://dlib.eastview.com/browse/doc/67455249}},
  volume       = {{27}},
  year         = {{2021}},
}