https://doi.org/10.1140/epjb/s10051-025-01038-6
Regular Article - Statistical and Nonlinear Physics
Chaos in thin-film ferroelectric materials under periodic electric fields with variable shapes
1
Department of Physics, Faculty of Science, The University of Maroua, P.O. Box 814, Maroua, Cameroon
2
Department of Physics, Faculty of Science, The University of Dschang, Box 67, Dschang, Cameroon
3
Department of Physics, National Advanced School of Mines and Petroleum Industries, The University of Maroua, P.O. Box 08, Kaele, Cameroon
4
Department of Physics, Higher Teachers’ Training College of Maroua, The University of Maroua, P.O. Box 55, Maroua, Cameroon
5
Department of Physics, Faculty of Science, The University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon
a
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Received:
12
February
2025
Accepted:
1
September
2025
Published online:
25
September
2025
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.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
