https://doi.org/10.1140/epjp/s13360-025-06682-6
Regular Article
A novel multi-cavity hyperchaotic map based on the Lissajous curve
1
School of Physics, Central South University, 410083, Changsha, China
2
School of Electronic Information, Central South University, 410083, Changsha, China
Received:
20
May
2025
Accepted:
21
July
2025
Published online:
11
August
2025
Based on the Lissajous curve, this paper designs a new chaotic map. The dynamical analysis shows that the proposed map has large Lyapunov exponents and high permutation entropy complexity. To further enhance the performance of the proposed chaotic map, a multi-cavity hyperchaotic map is constructed by combining with a shift symmetry transformation. The multi-cavity hyperchaotic map has a more complex topological structure and reduces the periodic windows. These hyperchaotic maps are implemented on the digital signal processor platform for practical applications.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
