Chaos in thin-film ferroelectric materials under periodic electric fields with variable shapes

Nguezbai Jacob (), Kengne Romaric (), Douvagai (), Malwe Boudoue Hubert (), Mibaile Justin () and Serge Y. Doka ()
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Nguezbai Jacob: The University of Maroua
Kengne Romaric: The University of Dschang
Douvagai: The University of Maroua
Malwe Boudoue Hubert: The University of Maroua
Mibaile Justin: The University of Maroua
Serge Y. Doka: The University of Ngaoundere

The European Physical Journal B: Condensed Matter and Complex Systems, 2025, vol. 98, issue 9, 1-9

Abstract: Abstract The polarization field is the mean dipolar moment of atoms plunged in an external electric field. It characterizes the optical properties of the considered material; light interaction with matter and propagation inside it. This research investigates the dynamics of the polarization field within a ferroelectric substance subjected to a periodically changing electric field. Our analysis deals with the derivation of an equation to describe this behavior. We specifically explore indicators of chaotic behavior, such as the Lyapunov exponent and bifurcation diagram, to demonstrate the emergence of chaos when the electric field’s amplitude varies periodically. Additionally, we identify the parameters responsible for inducing chaos, along with their respective ranges, and examine the phenomenon of multistability within the system. Finally, the linear augmentation method is used to control the multistability in the system under study. Graphic Abstract

Date: 2025
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DOI: 10.1140/epjb/s10051-025-01038-6

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