Stability enhanced by transient attractors in a memristive chaotic map
Chaotic Dynamics
2025-04-01 v1
Abstract
The introduction of a memristor in a chaotic system can significantly modify its dynamical behavior. In this paper, we couple a discrete memristor model with a chaotic map to investigate the memristor's impact on the stability of chaotic attractors. Our results reveal that introducing the memristor substantially enlarges the basin of attraction of a given chaotic attractor, thereby enhancing its stability. This phenomenon arises as a direct consequence of the memory and switching effects introduced by the memristor, which create new paths to the chaotic attractors.
Keywords
Cite
@article{arxiv.2503.24133,
title = {Stability enhanced by transient attractors in a memristive chaotic map},
author = {Alexandre R. Nieto and Rubén Capeáns and Miguel A. F. Sanjuán},
journal= {arXiv preprint arXiv:2503.24133},
year = {2025}
}