Hamilton-Poisson Realizations of the Integrable Deformations of the Rikitake System
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Integrable deformations of an integrable case of the Rikitake system are constructed by modifying its constants of motions.
Hamilton-Poisson realizations of these integrable deformations are given.
Considering two concrete deformation functions, a Hamilton-Poisson approach of the obtained system is presented.
More precisely, the stability of the equilibrium points and the existence of the periodic orbits are proved.
Furthermore, the image of the energy-Casimir mapping is determined and its connections with the dynamical elements of the considered system are pointed out.
American Psychological Association (APA)
Lăzureanu, Cristian. 2017. Hamilton-Poisson Realizations of the Integrable Deformations of the Rikitake System. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1123170
Modern Language Association (MLA)
Lăzureanu, Cristian. Hamilton-Poisson Realizations of the Integrable Deformations of the Rikitake System. Advances in Mathematical Physics No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1123170
American Medical Association (AMA)
Lăzureanu, Cristian. Hamilton-Poisson Realizations of the Integrable Deformations of the Rikitake System. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1123170
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123170