Dynamics of strain bifurcations in magnetostrictive ribbon

TL;DR

This paper presents a coupled nonlinear oscillator model explaining complex dynamical behaviors, including chaos and bifurcations, in magnetostrictive ribbons under varying magnetic fields, with implications for related materials.

Contribution

The study introduces a novel coupled oscillator model capturing experimentally observed bifurcations and chaos in magnetostrictive ribbons, highlighting rich dynamics in coupled order parameter systems.

Findings

Reproduces period doubling route to chaos with dc field variation.

Predicts quasiperiodic route to chaos with ac field variation.

Shows induced and suppressed chaos with near resonant ac field.

Abstract

We develop a coupled nonlinear oscillator model involving magnetization and strain to explain several experimentally observed dynamical features exhibited by forced magnetostrictive ribbon. Here we show that the model recovers the observed period doubling route to chaos as function of the dc field for a fixed ac field and quasiperiodic route to chaos as a function of the ac field, keeping the dc field constant. The model also predicts induced and suppressed chaos under the influence of an additional small-amplitude near resonant ac field. Our analysis suggests rich dynamics in coupled order parameter systems like magnetomartensitic and magnetoelectric materials.