Microcontroller Execution, Random Number Generation and Chaos Annihilation in Piecewise Quadratic Map

ADBA computer science. 2026 Open access

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Authors: Lucienne Makouo, Jules Metsebo, Cyrille Ainamon, Oumate Alhadji Abba, André Chéagé Chamgoué
DOI: 10.69882/adba.cs.2026013
Cited by: 5
References: 19

Abstract

This paper presents the study of microcontroller execution, pseudo random number generator (PRNG) and chaos annihilation in a piecewise quadratic map (PQM). PQM is generated by replacing the cubic nonlinearity of cubic map by absolute nonlinearity. Bistable outphase and monostable chaotic characteristics and bistable outphase periodic oscillations are encountered in PQM during numerical simulations. The microcontroller execution of PQM is realized to validate the numerical results encountered in PQM. The PRNG derived from the PQM is made and the NIST 800-22 statistical test validated it. Finally, analytical calculations and numerical simulations show the effectiveness of chaos annihilation in PQM using feedback controller.

Fields of Study & Subjects

Chaos-based Image/Signal Encryption Chaos control and synchronization Quantum chaos and dynamical systems

Publication details

Journal / source
ADBA computer science.
Publisher
ADBA Information Technology and Publishing Limited Company
Volume
3
Issue
1
Pages
13–17
Publication date
27 January 2026