Quasiperiodicity, bistability and chaos in the Landau-Lifshitz equation

TL;DR

This paper investigates the complex dynamics of a magnetic moment under periodic driving, revealing bistability, quasiperiodic behavior, and chaos depending on field strength and perturbation amplitude.

Contribution

It provides a detailed analysis of the Landau-Lifshitz equation dynamics under periodic driving, highlighting new regimes of magnetic behavior including chaos and quasiperiodicity.

Findings

Bistability observed at low fields and small perturbations

Quasiperiodic bands appear at intermediate perturbation levels

Chaotic regimes emerge at larger perturbation amplitudes

Abstract

The dynamics of an individual magnetic moment is studied through the Landau-Lifshitz equation with a periodic driving in the direction perpendicular to the applied field. For fields lower than the anisotropy field and small values of the perturbation amplitude we have observed the magnetic moment bistability. At intermediate values we have found quasiperiodic bands alternating with periodic motion. At even larger values a chaotic regime is found. When the applied field is larger than the anisotropy one, the behavior is periodic with quasiperiodic regions. Those appear periodically in the amplitude of the oscillating field. Also, even for low values of the driving force, the moment is not parallel to the applied field.