An example of chaotic dynamics for the motion of a charged particle in a magnetic field. (December 2020)

• Record Type: Journal Article
• Authors: Gjata, Oltiana; Zanolin, Fabio
• Is Part Of: Nonlinear analysis. Volume 201(2020)
• Publication Date: 2020-12
• Subjects: 34C25 -- 34B18 -- 34C35; Hamiltonian systems -- Global center -- Period map -- Chaotic dynamics; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.112091
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we discuss the presence of chaotic dynamics of charged particles inside an idealized magnetic field, suggested by a tokamak type configuration. Our model is based on a periodically perturbed Hamiltonian system in a half-plane r > 0 . We propose a simple mechanism producing complex dynamics, based on the theory of Linked Twist Maps jointly with the method of stretching along the paths. A key step in our argument relies on the monotonicity of the period map associated with the unperturbed planar system.