Chaotic studies in Magnetic Dipoles

TL;DR

This paper explores chaotic dynamics, bifurcations, and synchronization phenomena in magnetic dipoles under external magnetic fields, including effects of damping, gravity, coupling, and noise.

Contribution

It introduces a comprehensive analysis of chaos, bifurcations, and synchronization in magnetic dipoles, including coupled systems and noise effects, expanding understanding of their complex behaviors.

Findings

Chaotic behavior observed in magnetic needle dynamics.

Bifurcation patterns identified under varying parameters.

Synchronization properties affected by noise and coupling.

Abstract

The present work investigates the effect of an external rotating magnetic field on a magnetic needle, and aims to study chaotic behaviour. The equation of motion is modified to include damping and gravity. The bifurcation behaviour of such evolving systems is also studied. Furthermore, the coupling in pairs of magnetic needles is also analyzed. In addition, a 2-dimensional array of coupled needles is set up, and the synchronization properties of the population is studied. The study is completed by carrying out an investigation of the effects of noise on the synchronization of such a system.