Root / CYBERNETICS AND PHYSICS / Volume 14, 2025, Number 2 / Cubic trigonometric chaotic systems for high-quality pseudo-random number generation

Cubic trigonometric chaotic systems for high-quality pseudo-random number generation

mokhtar ouamri

A new two-dimensional chaotic system, called the Cubic Trigonometric Coupled Map (CTCM), is proposed in this article. It is characterised by strong nonlinear
interactions and complex dynamic behaviour. A thorough review of the Lyapunov exponents and bifurcation structures shows that CTCM has a strange attractor with fractal geometry and is highly sensitive to initial conditions. In addition, a new pseudo-random number generator (PRNG) based on the chaotic characteristics of the CTCM has been implemented. Experimental results show that the generator achieves near-optimal entropy levels up to 7.999 with high sensitivity to initial conditions, making this PRNG a promising solution for applications in information security, numerical modeling, stochastic simulations, data encryption, and secure communication systems.
CYBERNETICS AND PHYSICS, VOL. 14, NO. 2, 2025, 154–161
https://doi.org/10.35470/2226-4116-2025-14-2-154-161

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