Analysis and design of digital chaotic systems with desirable performance via feedback control

Y Deng, H Hu, W **ong, NN **ong… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
The dynamical degradation of digital chaotic systems (DCSs) often has serious negative
influences on some digital chaos-based systems and then becomes one of the bottleneck …

On the use of chaotic iterations to design keyed hash function

Z Lin, C Guyeux, S Yu, Q Wang, S Cai - Cluster Computing, 2019 - Springer
Due to the complex dynamical properties of chaos, designing chaos-based hash functions
emerged as a new research direction to reinforce information security of data sent through …

Efficient and cryptographically secure generation of chaotic pseudorandom numbers on gpu

C Guyeux, R Couturier, PC Héam, JM Bahi - The journal of …, 2015 - Springer
In this paper, we present a new pseudorandom number generator (PRNG) on graphics
processing units (GPU). This PRNG is based on the so-called chaotic iterations. It is firstly …

[BOOK][B] Discrete dynamical systems and chaotic machines: theory and applications

JM Bahi, C Guyeux - 2013 - books.google.com
For computer scientists, especially those in the security field, the use of chaos has been
limited to the computation of a small collection of famous but unsuitable maps that offer no …

Steganography: a class of secure and robust algorithms

JM Bahi, JF Couchot, C Guyeux - The Computer Journal, 2012 - ieeexplore.ieee.org
This research work presents a new class of non-blind information hiding algorithms that are
stego-secure and robust. They are based on some finite domains iterations having the …

Random Walk in a -Cube Without Hamiltonian Cycle to Chaotic Pseudorandom Number Generation: Theoretical and Practical Considerations

S Contassot-Vivier, JF Couchot, C Guyeux… - International Journal of …, 2017 - World Scientific
Designing a pseudorandom number generator (PRNG) is a difficult and complex task. Many
recent works have considered chaotic functions as the basis of built PRNGs: the quality of …

Pseudorandom number generators with balanced gray codes

JF Couchot, PC Heam, C Guyeux… - … on Security and …, 2014 - ieeexplore.ieee.org
In this article, it is shown that a large class of truly chaotic Pseudorandom Number
Generators can be constructed. The generators are based on iterating Boolean maps, which …

Dynamics on binary relations over topological spaces

CC Chen, JA Conejero, M Kostić, M Murillo-Arcila - Symmetry, 2018 - mdpi.com
The existence of chaos and the quest of dense orbits have been recently considered for
dynamical systems given by multivalued linear operators. We consider the notions of …

Convergence versus Divergence Behaviors of Asynchronous Iterations, and Their Applications in Concrete Situations

C Guyeux - Mathematical and Computational Applications, 2020 - mdpi.com
Asynchronous iterations have long been used in distributed computing algorithms to
produce calculation methods that are potentially faster than a serial or parallel approach, but …

Introducing the truly chaotic finite state machines and their applications in security field

C Guyeux, Q Wang, X Fang, J Bahi - arxiv preprint arxiv:1708.04963, 2017 - arxiv.org
The truly chaotic finite machines introduced by authors in previous research papers are
presented here. A state of the art in this discipline, encompassing all previous mathematical …