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arXiv · 2503.24133

Stability enhanced by transient attractors in a memristive chaotic map

Alexandre R. Nieto·Rubén Capeáns·Miguel A. F. Sanjuán
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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.

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Alexandre R. Nieto, Rubén Capeáns, Miguel A. F. Sanjuán. 2025-03-31. Stability enhanced by transient attractors in a memristive chaotic map. https://arxiv.org/abs/2503.24133

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