Particle Dynamics in Time-Dependent Coulomb Field
(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:
https://lup.lub.lu.se/record/6a4a3243-e8f0-4e40-a04a-e4ef8d703496
- author
- Turova, Tatyana LU and Cronvall, Joakim LU
- organization
- publishing date
- 2021
- 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}}, }