Memristor-coupled discrete chaotic maps for lock-in error suppression in ring laser gyroscopes
Year: 2026
Type: article
Abstract: Mechanical dithering cannot fully eliminate the lock-in error of ring laser gyroscopes (RLGs), and the chaotic dithering currently used is all based on chaotic systems with limited entropy. In this work, two discrete memristive chaotic maps, the memristor-based sine map (MSM) and cosine map (MCM), are constructed by coupling a threshold-regulated hyperbolic-sine memristor into sine and cosine discrete kernels. With this nonlinear memristive coupling architecture, the two new maps generate hyperchaos over broad parameter ranges, achieve high complexity, and pass all 15 NIST SP 800-22 randomness tests. The dynamical behaviors are also reproduced on a DSP platform. When applied as chaotic dither in a mechanically dithered RLG, the lowest dynamic lock-in error at every injection depth is achieved with the MSM, and the lowest Allan deviation over the full averaging time is obtained with both maps, outperforming M -sequence, Logistic, and existing memristive chaotic dithers in angle random walk and bias instability. The two maps can thus serve as simple, tunable, and hardware-verifiable chaotic sources for RLG lock-in suppression and other chaos-based applications.
Source: Optics Express
DOI: 10.1364/oe.618724
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,270
OpenAlex ID: W7223910394