Stability enhanced by transient attractors in a memristive chaotic map
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910899831308288 |
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| author | Nieto, Alexandre R. Capeáns, Rubén Sanjuán, Miguel A. F. |
| author_facet | Nieto, Alexandre R. Capeáns, Rubén Sanjuán, Miguel A. F. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_24133 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability enhanced by transient attractors in a memristive chaotic map Nieto, Alexandre R. Capeáns, Rubén Sanjuán, Miguel A. F. Chaotic Dynamics 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. |
| title | Stability enhanced by transient attractors in a memristive chaotic map |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2503.24133 |