Generating grid multi-scroll attractors in memristive neural networks

Q Lai, Z Wan, PDK Kuate - … on Circuits and Systems I: Regular …, 2022 - ieeexplore.ieee.org
Memristors are well suited as artificial nerve synapses owing to its unique memory function.
This paper establishes a novel flux-controlled memristor model using hyperbolic function …

Brain-like initial-boosted hyperchaos and application in biomedical image encryption

H Lin, C Wang, L Cui, Y Sun, C Xu… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Neural networks have been widely and deeply studied in the field of computational
neurodynamics. However, coupled neural networks and their brain-like chaotic dynamics …

Dynamics analysis, FPGA realization and image encryption application of a 5D memristive exponential hyperchaotic system

F Yu, S Xu, X **ao, W Yao, Y Huang, S Cai, B Yin, Y Li - Integration, 2023 - Elsevier
The exponential function is one of the basic elementary functions, which plays an
irreplaceable role in mathematics and is also widely used in practical activities such as life …

FPGA-orthopoly: a hardware implementation of orthogonal polynomials

M Asghari, AH Hadian Rasanan, S Gorgin… - Engineering with …, 2023 - Springer
There are many algorithms based on orthogonal functions that can be applied to real-world
problems. For example, many of them can be reduced to approximate the solution of a …

Comparison of two new chaos-based pseudorandom number generators implemented in microcontroller

D Murillo-Escobar, K Vega-Pérez, MA Murillo-Escobar… - Integration, 2024 - Elsevier
Chaos-based encryption algorithms uses a pseudorandom number generator (PRNG) to
generate chaotic dynamics to carry out the processes to encrypt different types of …

Singularity, observability and statistical independence in the context of chaotic systems

A Dinu, M Frunzete - Mathematics, 2023 - mdpi.com
Pseudorandom number generators (PRNGs) have always been a central research topic in
data science, and chaotic dynamical systems are one of the means to obtain scientifically …

Quality Evaluation for Reconstructing Chaotic Attractors

M Frunzete - Mathematics, 2022 - mdpi.com
Dynamical systems are used in various applications, and their simulation is related with the
type of mathematical operations used in their construction. The quality of the system is …

[HTML][HTML] Singularity, Observability, and Independence: Unveiling Lorenz's Cryptographic Potential

A Dinu - Mathematics, 2024 - mdpi.com
The key findings of this study include a detailed examination of the Lorenz system's
observability, revealing that it maintains high observability compared to other chaotic …

Synchronization between a Class of Variable-Order Fractional Hyperjerk Chaotic Systems

JJ Pérez-Díaz, E Zambrano-Serrano… - Computación y …, 2023 - scielo.org.mx
Variable-order fractional derivatives can be considered as a natural and analytical extension
of constant fractional-order derivatives. In variable-order derivatives, the order can vary …

Design and FPGA Implementation of Grid-Scroll Hamiltonian Conservative Chaotic Flows With a Line Equilibrium

M Ji'e, H Peng, S Duan, L Wang… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Although multiscroll attractors in dissipative chaotic systems (DCSs) have complex
properties, they may be subject to reconstruction attacks in the field of information security …