New methods for constructing 2n / 2n+1-dimensional conservative chaotic systems and FPGA implementation

Jian Zeng and Qun Ding

Physica A: Statistical Mechanics and its Applications, 2025, vol. 674, issue C

Abstract: Conservative chaotic systems (CCS) show better applicability in chaos-based secure communication compared to dissipative chaotic systems (DCS). In this paper, two new approaches to design 2n-dimensional and 2n+1-dimensional Hamiltonian Conservative Chaotic Systems (HCCS) are given to generate systems with unique dynamic properties. Three HCCS instances validate the effectiveness of the proposed framework. Through a comprehensive analysis of 4D/5D-HCCSs, including equilibrium points, Lyapunov exponents, phase diagrams, bifurcation diagrams, and Hamiltonian energy evolutions, it is found that they exhibit different phenomena when the parameters of the system are varied. Moreover, the 4D-SDMCCS and 4D-MDMCCS are proposed by introducing a new segmentation function (named Sin-IPC) in 4D-HCCS, and the dynamical analyses of the systems demonstrate that have a controllable number of scrolls. Differently, the proposed 5D-HCCS has a multistability phenomenon and nested phenomenon under the Hamiltonian energy control, and the Lyapunov exponents of the system increase with the increase of Hamiltonian energy. Finally, to verify the practicability of the proposed methods, a novel pseudorandom number generator (PRNG) based on type 1.1 4D-MDMCCS and 5D-HCCS is designed and implemented in hardware by using FPGA, the experiments prove that the designed PRNG has a large key space and a good randomness of the output sequence, it can reasonably utilize hardware resources, has high throughput, and ensures the output of high-quality pseudo-random sequences, which can be used in the fields of random number generation, confidential communication and nonlinear control.

Keywords: Hamiltonian conservative chaotic systems(HCCS); Multi-scroll conservative chaotic systems (MCCS); Multistability; FPGA; Pseudorandom number generator (PRNG) (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437125004352
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:phsmap:v:674:y:2025:i:c:s0378437125004352

DOI: 10.1016/j.physa.2025.130783

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().