Stability enhanced by transient attractors in a memristive chaotic map

2025/03/31 by Alexandre R. Nieto, Nieto, Alexandre R., Rubén Capeáns +3
Engineering · Physics and Astronomy · #Advanced Memory and Neural Computing #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.2503.24133

openalex publication_date 2025/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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