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 …

On the dynamical investigation and synchronization of variable-order fractional neural networks: The Hopfield-like neural network model

H Jahanshahi, E Zambrano-Serrano, S Bekiros… - The European Physical …, 2022 - Springer
Since the variable-order fractional systems show more complex characteristics and more
degrees of freedom due to time-varying fractional derivatives, we introduce a variable-order …

Fuzzy synchronization of chaotic systems with hidden attractors

J Zaqueros-Martinez, G Rodriguez-Gomez… - Entropy, 2023 - mdpi.com
Chaotic systems are hard to synchronize, and no general solution exists. The presence of
hidden attractors makes finding a solution particularly elusive. Successful synchronization …

On chaos and projective synchronization of a fractional difference map with no equilibria using a fuzzy-based state feedback control

E Zambrano-Serrano, S Bekiros… - Physica A: Statistical …, 2021 - Elsevier
In this paper, by considering the Caputo-like delta difference definition, a fractional
difference order map with chaotic dynamics and with no equilibria is proposed. The complex …

Implementation of an encrypted-compressed image wireless transmission scheme based on chaotic fractional-order systems

MA Platas-Garza, E Zambrano-Serrano… - Chinese Journal of …, 2021 - Elsevier
In this paper, an encryption, compression and transmission scheme is proposed. The
scheme is based on fractional-order chaotic systems combined with Discrete Wavelet …

A new 10-D hyperchaotic system with coexisting attractors and high fractal dimension: Its dynamical analysis, synchronization and circuit design

K Benkouider, T Bouden, A Sambas, B Lekouaghet… - Plos one, 2022 - journals.plos.org
This work introduce a new high dimensional 10-D hyperchaotic system with high complexity
and many of coexisting attractors. With the adjustment of its parameters and initial points, the …

Multistability route in a PWL multi-scroll system through fractional-order derivatives

JL Echenausía-Monroy, HE Gilardi-Velázquez… - Chaos, Solitons & …, 2022 - Elsevier
Recently, it was discovered that the use of fractional derivatives induces the occurrence of
multistable states in PWL systems with multiple scrolls. In this paper, we show the …

Experimental verification of the multi-scroll chaotic attractors synchronization in PWL arbitrary-order systems using direct coupling and passivity-based control

E Zambrano-Serrano, JM Munoz-Pacheco, FE Serrano… - Integration, 2021 - Elsevier
Because one of the main applications of chaos synchronization is oriented to data
encryption and random number generators, fractional-order chaotic systems showing multi …

Synchronization of a new chaotic system using adaptive control: Design and experimental implementation

A Roldán-Caballero, JH Pérez-Cruz… - …, 2023 - Wiley Online Library
This paper presents the design of an adaptive controller that solves the synchronization
control problem of two identical Nwachioma chaotic systems in a master‐slave …

Pseudo-differential (2+ α)-order Butterworth frequency filter

O Sladok, J Koton, D Kubanek, J Dvorak… - IEEE …, 2021 - ieeexplore.ieee.org
This paper describes the design of analog pseudo-differential fractional frequency filter with
the order of, where. The filter operates in a mixed-transadmittance mode (voltage input …