https://doi.org/10.1140/epjs/s11734-025-02078-w
Regular Article
Analysis of multilayer double-scroll Jerk chaotic system with simultaneous offset boosting, amplitude modulation and rotation
School of Electronic Engineering, Heilongjiang University, 150080, Harbin, China
Received:
24
September
2025
Accepted:
18
November
2025
Published online:
28
November
2025
Addressing the limitations of existing multi-scroll chaotic systems, which typically expand scrolls in a single plane and lack the capability for synchronous dynamic control, this paper proposes a novel four-dimensional Jerk multi-layer double-scroll chaotic system (4D-JMDSS). By introducing a simple piecewise linear function into a 3D Jerk system with cubic nonlinearity, 4D-JMDSS achieves the spatial superposition of double-scroll across multiple layers, breaking away from the conventional “planar-tiling” paradigm of scroll expansion. This core innovation enables the system to simultaneously exhibit three dynamic behaviors—scroll rotation, amplitude modulation, and offset boosting—via a single parameter, offering flexibility in controlling complex chaotic behaviors. Dynamical analysis reveals that the system undergoes multiple state transitions, including hyperchaos, chaos, and quasi-periodicity, as parameter 
varies, and also exhibits parameter-induced symmetry. The physical feasibility of the system is verified through Simulink simulations, Multisim analog circuit simulations, and a DSP hardware implementation. Furthermore, the chaotic sequences generated by the system pass the NIST SP800-22 test, demonstrating excellent randomness and highlighting its significant potential for applications in secure communication and cryptography.
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 EDP Sciences, 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.
