An example of chaotic dynamics for the motion of a charged particle in a magnetic field

Gjata, Oltiana; Zanolin, Fabio

doi:10.1016/j.na.2020.112091

Cited by 3 publications

(2 citation statements)

References 25 publications

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“…Dalui et al 7 studied the motion of a massless and chargeless particle very near to the event horizon, the conclusion that radial motion can induce chaos in the particle motion when it comes under the influence of the horizon. Gjata et al 8 investigated the presence of chaotic dynamics of charged particles inside an idealized magnetic field. Bonfim et al 9 analyzed the motion of a charged particle in the field of a magnetic dipole.…”

Section: Introductionmentioning

confidence: 99%

Hyperchaos, constraints and its stability control in a 6D hyperchaotic particle motion system

Cui

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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Firstly, a novel six-dimensional (6D) hyperchaotic particle motion system is formulated. The equilibrium points and their characteristics, Poincaré sections, Lyapunov exponents, bifurcations and multi-periodic windows are studied. Secondly, we present two nonholonomic constrained systems. In order to analyze the particle motion trajectories under constraints, the explicit equations for constrained systems are given. Based on Lyapunov exponents, Poincaré maps and bifurcations, we can see that the different hyperchaotic phenomena of the particle motion can be generated by introducing nonholonomic constraints. Finally, the stability control of the 6D hyperchaotic particle motion system is realized by separately using constraint control method and linear feedback control method. Numerical simulations of the dynamical behaviors of the six-dimensional hyperchaotic particle motion system are carried out in order to illustrate the complex phenomena of the systems and verify the analysis results.

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Section: Introductionmentioning

confidence: 99%

Hyperchaos, constraints and its stability control in a 6D hyperchaotic particle motion system

Cui

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…For the research of space physics and astrophysics, most of the research objects are plasma, there are also various magnetic fields (such as the earth's magnetic field, the sun's magnetic field, the stellar magnetic field, the galaxy's magnetic field, etc.). In response to this research question, Lu J briefly described the practical application of electromagnetic fields in science and technology, take the motion of charged particles in an electromagnetic field as an example, the close connection between technology applications and electromagnetic fields will be shown through two typical examples, students are required to conduct theoretical research on the test questions at the same time, pay more attention to the use of topic-related knowledge and the basic knowledge learned to solve practical problems [5].Gjata O to solve the motion of charged particles in compound fields, it believes that in the mutual relationship of teaching, guiding students in a timely manner, in order to enable students to learn to organize the required knowledge, that is, the integration of knowledge, in order to establish a correct spatial model, classification for processing [6]. Ibarra-Sierra V G on the movement of charged particles in the electromagnetic field, combined with the analysis of the real questions in the college entrance examination paper, discuss some motion properties and motion laws of charged particles in the electromagnetic field [7].…”

Section: Introductionmentioning

confidence: 99%

Knowledge Analysis of Charged Particle Motion in Uniform Electromagnetic Field Based on Maxwell Equation

Wang

Hezabr

2022

Applied Mathematics and Nonlinear Sciences

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We study the motion states of charged particles in a homogeneous electromagnetic field based on the Maxwell equations. The authors propose the charged particle properties analysis based on the Maxwell equation and electromagnetic field, first explain the Maxwell equation and electromagnetic field properties analysis, and then analyze the charged particles in the composite field (electric and magnetic field coexistence). List the important knowledge points about the motion of charged particles in an electric field, and determine the center of the circle where the charged particles move in a circular motion, simulate the motion of charged particles in a uniform orthogonal electromagnetic field, if at, the trajectory of the charged particle is a short-amplitude cycloid, if, the trajectory of the charged particle is a long cycloid, if. The realization of simulation is mainly based on theory to obtain phenomena, although it has extensive practical significance for confirmatory experiments, when inspiring and guiding students to carry out inquiry learning, physics teachers should still organically combine simulation experiments with traditional experimental teaching, teacher explanations, and student experiments in teaching design and teaching implementation, in order to cultivate students' independent inquiry ability and experimental innovation ability.

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Monotonicity of the period function and chaotic dynamics in a class of singular ODEs

Burra

Zanolin

2022

Journal of Mathematical Analysis and Applications

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An example of chaotic dynamics for the motion of a charged particle in a magnetic field

Cited by 3 publications

References 25 publications

Hyperchaos, constraints and its stability control in a 6D hyperchaotic particle motion system

Hyperchaos, constraints and its stability control in a 6D hyperchaotic particle motion system

Knowledge Analysis of Charged Particle Motion in Uniform Electromagnetic Field Based on Maxwell Equation

Monotonicity of the period function and chaotic dynamics in a class of singular ODEs

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