A simple method to enlarge a basin of attraction using a memristive function
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916575399903232 |
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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 | This study presents an innovative approach to chaotic attractor stabilization introducing a memristor in discrete dynamical systems. Using the Hénon map as a test case, we replace a system parameter with a memristive function governed by a sigmoid activation function. The method relies on leveraging attractors with larger basins of attraction to attract the orbits and guide them towards the desired chaotic attractor. The effectiveness of the method is confirmed through numerical simulations, showing substantial enhancement in attractor stability without requiring explicit parameter control. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12220 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A simple method to enlarge a basin of attraction using a memristive function Nieto, Alexandre R. Capeáns, Rubén Sanjuán, Miguel A. F. Chaotic Dynamics This study presents an innovative approach to chaotic attractor stabilization introducing a memristor in discrete dynamical systems. Using the Hénon map as a test case, we replace a system parameter with a memristive function governed by a sigmoid activation function. The method relies on leveraging attractors with larger basins of attraction to attract the orbits and guide them towards the desired chaotic attractor. The effectiveness of the method is confirmed through numerical simulations, showing substantial enhancement in attractor stability without requiring explicit parameter control. |
| title | A simple method to enlarge a basin of attraction using a memristive function |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2501.12220 |