A review of the digital implementation of continuous-time fractional-order chaotic systems using FPGAs and embedded hardware

D Clemente-López, JM Munoz-Pacheco… - … Methods in Engineering, 2023 - Springer
The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …

A new multi-scroll Chua's circuit with composite hyperbolic tangent-cubic nonlinearity: Complex dynamics, Hardware implementation and Image encryption …

F Yu, H Shen, Z Zhang, Y Huang, S Cai, S Du - Integration, 2021 - Elsevier
In this paper, a new method for generating multi-scroll chaotic attractors via constructing a
compound hyperbolic tangent-cubic nonlinear function in canonical Chua's circuit is …

FPGA implementation of novel fractional-order chaotic systems with two equilibriums and no equilibrium and its adaptive sliding mode synchronization

K Rajagopal, A Karthikeyan, AK Srinivasan - Nonlinear Dynamics, 2017 - Springer
This paper introduces two novel fractional-order chaotic systems with cubic nonlinear
resistor and investigates its adaptive sliding mode synchronization. Firstly the novel two …

Chaotic image encryption using hopfield and hindmarsh–rose neurons implemented on FPGA

E Tlelo-Cuautle, JD Díaz-Muñoz, AM González-Zapata… - Sensors, 2020 - mdpi.com
Chaotic systems implemented by artificial neural networks are good candidates for data
encryption. In this manner, this paper introduces the cryptographic application of the …

Numerical analyses and experimental validations of coexisting multiple attractors in Hopfield neural network

B Bao, H Qian, J Wang, Q Xu, M Chen, H Wu, Y Yu - Nonlinear Dynamics, 2017 - Springer
By simplifying connection topology of Hopfield neural network (HNN) with three neurons, a
kind of HNN-based nonlinear system is proposed. Taking a coupling-connection weight as …

Prescribed performance fixed-time recurrent neural network control for uncertain nonlinear systems

J Ni, CK Ahn, L Liu, C Liu - Neurocomputing, 2019 - Elsevier
This paper investigates fixed-time prescribed performance control problem for uncertain
strict-feedback nonlinear systems with unknown dead zone. First, a novel prescribed …

Complex dynamics of a four-dimensional circuit system

H Wang, H Fan, J Pan - International Journal of Bifurcation and …, 2021 - World Scientific
Combining qualitative analysis and numerical technique, the present work revisits a four-
dimensional circuit system in [Ma et al., 2016] and mainly reveals some of its rich dynamics …

A novel high speed artificial neural network–based chaotic true random number generator on field programmable gate array

M Alcin, I Koyuncu, M Tuna, M Varan… - International Journal of …, 2019 - Wiley Online Library
It is well observed that cryptographic applications have great challenges in guaranteeing
high security as well as high throughput. Artificial neural network (ANN)–based chaotic true …

Dynamics, FPGA realization and application of a chaotic system with an infinite number of equilibrium points

E Tlelo-Cuautle, LG de la Fraga, VT Pham, C Volos… - Nonlinear …, 2017 - Springer
Recently, systems with infinite equilibria have attracted interest because they can be
considered as systems with hidden attractors. In this work, we introduce a new elegant …

[PDF][PDF] Synchronization stability between initial-dependent oscillators with periodical and chaotic oscillation

F Wu, J Ma, G Ren - Journal of Zhejiang University-Science A, 2018 - drive.google.com
The selection of periodical or chaotic attractors becomes initial-dependent in that setting
different initial values can trigger a different profile of attractors in a dynamical system with …