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 …
phenomena with a better approximation than classical calculus. In fractional-order chaotic …
Hyperchaotic memristive ring neural network and application in medical image encryption
Neural networks are favored by academia and industry because of their diversity of
dynamics. However, it is difficult for ring neural networks to generate complex dynamical …
dynamics. However, it is difficult for ring neural networks to generate complex dynamical …
Fractional order chaotic systems: history, achievements, applications, and future challenges
MS Tavazoei - The European Physical Journal Special Topics, 2020 - Springer
Motivated by the importance of study on the complex behaviors, which may be exhibited by
fractional order differential equations, this review paper focuses on dynamical fractional …
fractional order differential equations, this review paper focuses on dynamical fractional …
Dynamics exploration for a fractional-order delayed zooplankton–phytoplankton system
In this study, we are concerned with the dynamics of a new established fractional-order
delayed zooplankton–phytoplankton system. The existence and uniqueness of the solution …
delayed zooplankton–phytoplankton system. The existence and uniqueness of the solution …
Parameter identification for discrete memristive chaotic map using adaptive differential evolution algorithm
Since the concept of discrete memristor was proposed, more and more scholars began to
study this topic. At present, most of works on the discrete memristor are devoted to the …
study this topic. At present, most of works on the discrete memristor are devoted to the …
Nonlinear dynamics and chaos in a simplified memristor-based fractional-order neural network with discontinuous memductance function
In this paper, a simplified memristor-based fractional-order neural network (MFNN) with
discontinuous memductance function is proposed. It is essentially a switched system with …
discontinuous memductance function is proposed. It is essentially a switched system with …
The amplitude, frequency and parameter space boosting in a memristor–meminductor-based circuit
F Yuan, Y Deng, Y Li, G Wang - Nonlinear Dynamics, 2019 - Springer
In this paper, a meminductor emulator and an active memristor emulator are designed to
construct a new chaotic circuit. The initial-condition-triggered amplitude, frequency and …
construct a new chaotic circuit. The initial-condition-triggered amplitude, frequency and …
High speed FPGA-based chaotic oscillator design
In this study, autonomous Lü-Chen (2002) chaotic system has been implemented on FPGA
using Heun numerical algorithm in VHDL 32-bit IQ-Math fixed-point number format for …
using Heun numerical algorithm in VHDL 32-bit IQ-Math fixed-point number format for …
FPGA-based implementation of different families of fractional-order chaotic oscillators applying Grünwald–Letnikov method
AD Pano-Azucena, B Ovilla-Martinez… - … in Nonlinear Science …, 2019 - Elsevier
Fractional-order chaotic oscillators are a hot topic of research and nowadays many new
mathematical models have been introduced, which can be suitable for the development of …
mathematical models have been introduced, which can be suitable for the development of …
A piecewise linear approach for implementing fractional-order multi-scroll chaotic systems on ARMs and FPGAs
D Clemente-López, JM Munoz-Pacheco… - Fractal and …, 2024 - mdpi.com
This manuscript introduces a piecewise linear decomposition method devoted to a class of
fractional-order dynamical systems composed of piecewise linear (PWL) functions. Inspired …
fractional-order dynamical systems composed of piecewise linear (PWL) functions. Inspired …