Spatiotemporal Chaos in a Sine Map Lattice With Discrete Memristor Coupling

Shaobo He, Bo Yan, Xianming Wu, Huihai Wang, Mengjiao Wang, Herbert Ho Ching Iu

Research output: Contribution to journalArticlepeer-review


At present, design of discrete memristor based chaotic maps starts to attract the attention of the scientists, but it is still in its incipient stage. In this paper, spatiotemporal chaos in the Sine map lattice with discrete memristor coupling is investigated. Firstly, the <inline-formula> <tex-math notation="LaTeX">$3\times m$</tex-math> </inline-formula> higher dimensional chaotic map is proposed, where there are <inline-formula> <tex-math notation="LaTeX">$m$</tex-math> </inline-formula> discrete memristors and <inline-formula> <tex-math notation="LaTeX">$m$</tex-math> </inline-formula> state variable difference items as the inputs of the discrete memristors. Since it is a spatiotemporal chaotic system, thus it can generate massive chaotic sequences according to the system dimension. Secondly, dynamical characteristics of the system is carried out theoretically and numerically. It shows that there are <inline-formula> <tex-math notation="LaTeX">$m$</tex-math> </inline-formula> positive Lyapunov exponents with high complexity. The two examples with one memristor and two memristors are analyzed, and it indicates that the system has rich dynamics including hyperchaos and multistability. Finally, analogue circuit and DSP digital circuit of the two illustrative examples and an Knowm memristor based example are designed to verify the physical realizability of the proposed discrete memristor chaotic maps.

Original languageEnglish
Pages (from-to)1039-1049
Number of pages11
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Issue number3
Early online date31 Jan 2024
Publication statusPublished - 1 Mar 2024


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