Hamilton-Poisson realizations of the integrable deformations of the Rikitake system
type: Item
instance of: scholarly article
title: Hamilton-Poisson realizations of the integrable deformations of the Rikitake system
zbMATH Open document ID: 1401.37063
DOI: 10.1155/2017/4596951
author: Cristian Lăzureanu
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 70H09
zbMATH DE Number: 6962625
zbMATH Keywords: integrable deformations
zbMATH Keywords: Rikitake system
zbMATH Keywords: Hamilton-Poisson approach
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4596951
OpenAlex ID: W2746669530
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description: scientific article; zbMATH DE number 6962625