Generation of one-dimensional complex discrete hyperchaotic maps with hardware implementation

Xintong Li, Judi Zhao and Yinxing Zhang

Chaos, Solitons & Fractals, 2025, vol. 200, issue P1

Abstract: Due to the presence of complex variables and parameters, complex chaotic systems exhibit rich dynamical behaviors and high chaos complexity for diverse chaos-based applications. However, most existing studies have focused on real chaotic systems, while their complex counterparts remain relatively under-explored. In light of this, we propose a novel one-dimensional complex chaotic system (1D-CCS) that can generate various 1D complex chaotic maps by integrating the remainder operation with various analytic functions. To demonstrate its effectiveness, two representative maps are constructed. Theoretical analysis shows that one example satisfies the chaos definition in terms of Lyapunov exponent, with the exponent explicitly determined by system parameters. Property studies reveal that the generated maps exhibit abundant chaotic behaviors. Extensive experiments further manifest that the proposed chaotic maps possess higher chaos complexity compared to representative existing maps. To investigate their digital characteristics, state-mapping networks are constructed using various fixed-point precision settings, and several numerical measures are employed to evaluate digital periodicity and convergence. A microcontroller-based platform is then constructed to implement the two complex chaotic maps, from which two-channel complex chaotic sequences and attractor diagrams are experimentally obtained. Finally, the pseudorandom number generators are developed to demonstrate the potential applicability of the generated maps.

Keywords: Discrete map; State-mapping network; Strange attractor; Hardware implementation; Hyperchaotic sequence (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925009890
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:200:y:2025:i:p1:s0960077925009890

DOI: 10.1016/j.chaos.2025.116976

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().