A construction method of N-dimensional non-degenerate discrete memristive hyperchaotic map

Lilian Huang, Jin Liu, Jianhong Xiang, Zefeng Zhang and Xiuli Du

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

Abstract: In this paper, a discrete memristor model with periodic memristive function is proposed, and a construction method of N-dimensional non-degenerate discrete hyperchaotic map based on the new memristors is further proposed. This method only needs simple operation steps to construct a non-degenerate hyperchaotic map with dimension-tunable and the map designed by this method has very concise structure, but this map still has complex dynamic behaviors, such as initial-boosting behaviors, state transition phenomena, large Lyapunov exponent and ultra-wide non-degenerate hyperchaotic parameter range. The construction method proposed has a seed function and by selecting different seed function, the method can construct almost infinite kinds of non-degeneracy hyperchaotic maps in any-dimension. Then we give the structure diagram of any-dimensional map and the mathematical proof for the existence of non-degeneracy hyperchaotic state of N-dimensional simplest maps. We use this method to construct three sub-maps of different dimensions and analyze their dynamic behaviors. We perform a noise robustness verification experiment on the memristor and the map, and analyze the impact of noise on critical states. We also describe the SE complexity and carry out the NIST test to show that the submaps have higher SE complexity and better pseudo-randomness. Finally the sub-maps through DSP hardware platform are implemented and the results are the same with the simulations.

Keywords: N-dimensional discrete map; Non-degenerate hyperchaotic map; Memristive chaotic map; Initial-boosting behaviors; Ultra-wide parameter range; Noise (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077922004581
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:160:y:2022:i:c:s0960077922004581

DOI: 10.1016/j.chaos.2022.112248

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. ().