Hybrid offset boosting in a hyperchaotic map

Journal article

Wide chaos-based applications require flexible regulation in a dynamical system; consequently, the non-bifurcation parameter becomes the focus of the system. In this work, two offset regulators are found in a 2D hyperchaotic map. The combination of two parameters realizes free hybrid offset boosting, including the attractor shift along the x-coordinate axis and along any other diagonal direction. Two regimes of multistability can also be defined by the parameters, where the 0-value parameter corresponds to the attractor self-reproducing, while the periodic distribution of one offset-regulator will also awaken the bistability. GOWIN FPGA-based circuit implementation verifies the flexible offset boosting driven by the two parameters.

Authors: Li, C; Yu, W; Moroz, I; Li, Y; Zheng, Y

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Elsevier
• Journal: Chaos, Solitons and Fractals
• Volume: 204
• Article number: 117735
• Publication date: 2025-12-17
• Acceptance date: 2025-12-04
• DOI: 10.1016/j.chaos.2025.117735
• EISSN: 1873-2887
• ISSN: 0960-0779
• Language: English
• Keywords: bistability; GOWIN FPGA; hybrid offset boosting; hyperchaotic map