https://doi.org/10.1140/epjp/s13360-025-06487-7
Regular Article
A novel conservative grid multi-scroll hyperchaotic system with two-parameter regulation
School of Electronics Engineering, Heilongjiang University, 150080, Harbin, Heilongjiang, China
Received:
23
April
2025
Accepted:
27
May
2025
Published online:
21
June
2025
In chaotic systems, generally multi-scroll chaotic systems have more complex structures with more random sequences than single scrolls. And since conservative chaotic systems have no attractors and better reversibility, which is more suitable to be applied in image encryption. This article proposes a new conservative 4-dimensional grid multi-scroll hyperchaotic system (4D-GMSHS). By regulating the two parameters in the nested cosine-piecewise linear function (nCOS-PWLF), this 4D-GMSHS is capable of n
n grid multi-scroll hyperchaotic behavior. This is relatively rare in conservative chaotic systems. In addition, analyzing the two-dimensional state distribution maps over the two regulation parameters, the system is almost globally in two states, chaotic and hyperchaotic, except for some divergence points. There is also an amplitude regulation behavior of grid multi-scroll, which is rare in conservative chaotic systems. The 3D space phase trajectories, Lyapunov exponents (LEs), bifurcation behaviors are also analyzed experimentally. The regulation change about the number of scrolls is finally successfully realized by the digital signal processor hardware platform and agrees with the simulation experimental results.
Copyright comment 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.
© 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.
