https://doi.org/10.1140/epjp/s13360-024-04958-x
Regular Article
Multi-scroll hidden hyperchaotic attractor and extreme multistability with offset boosting in a memristor-coupled complex-valued laser network
School of Mathematical Sciences, University of Jinan, 250022, Jinan, Shandong, China
Received:
4
January
2024
Accepted:
30
January
2024
Published online:
16
February
2024
The computing chip combining electronics and photonics has been proved to have ultra-fast computing speed and super scalability. In this paper, a non-volatile memristor is introduced to couple two complex-valued laser systems, resulting in an equilibria-free memristive complex-valued laser network. Multistability of the memristor also leads to the appearance of multi-scroll attractors. The scroll number of multi-scroll hidden attractors is highly dependent on simulation time and the linewidth-enhancement factor. Their energy transition mechanism is explored from the perspective of Hamilton energy. The linewidth-enhancement factor also alters the scroll numbers and states of coexisting multi-scroll hidden attractors. The extreme multistability associated with the initial values of the laser systems and the memristor does not change the chaotic dynamics. Most notably, changing any one-dimensional initial value of the network leads to extreme multistability with offset boosting, which has not been observed in previous studies.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.