chaos

Implementation and Statistical Characterization of High Efficiency True Random Number Generators (RNGs) for Cryptographic Applications

Practical implementations of RNGs can be classified into two major categories, namely pseudo-RNGs and physical-RNGs. Pseudo-RNGs are deterministic, numeric algorithms that expand short seeds into long bit sequences. Conversely, physical-RNGs rely on microscopic processes resulting in macroscopic observables which can be regarded as random noise (quantum, thermal,…). Pseudo-RNGs generally depart more from the ideal specifications: are based on finite memory algorithms, thus exhibit periodic behaviors and generate correlated samples and are therefore unsuitable for data security and cryptography

Generalized Hardware Post Processing Technique for Chaos-Based Pseudorandom Number Generators

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Mohamed L. Barakat, et al., "Generalized Hardware Post Processing Technique for Chaos-Based Pseudorandom Number Generators" ETRI Journal, 35, (3), 2013, 448. Abstract: This paper presents a generalized post‐processing technique for enhancing the pseudorandomness of digital chaotic oscillators through a nonlinear XOR‐based operation with rotation and feedback. The technique allows full utilization of the chaotic output as pseudorandom number generators and improves throughput without a significant area penalty. Digital design of a third‐order chaotic system with maximum function nonlinearity is

Fully digital jerk-based chaotic oscillators for high throughput pseudo-random number generators up to 8.77 Gbitss

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Abhinav S. Mansingka, et al., "Fully digital jerk-based chaotic oscillators for high throughput pseudo-random number generators up to 8.77 Gbitss" Microelectronics Journal 44, (9), 2013, 744. Abstract: This paper introduces fully digital implementations of four different systems in the 3rd order jerk-equation based chaotic family using the Euler approximation. The digitization approach enables controllable chaotic systems that reliably provide sinusoidal or chaotic output based on a selection input. New systems are introduced, derived using logical and arithmetic operations between two system

Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems

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Ibrahima N' Doye, et al., "Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems", IEEE/CAA Journal of Automatica Sinica 6 (1), 2019, 268. Abstract: In this paper, we propose a robust fractional-order proportional-integral (FOPI) observer for the synchronization of nonlinear fractional-order chaotic systems. The convergence of the observer is proved, and sufficient conditions are derived in terms of linear matrix inequalities (LMIs) approach by using an indirect Lyapunov method. The proposed FOPI observer is robust against Lipschitz