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 …
On the dynamical investigation and synchronization of variable-order fractional neural networks: The Hopfield-like neural network model
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 …
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 …
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
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 …
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
In this paper, an encryption, compression and transmission scheme is proposed. The
scheme is based on fractional-order chaotic systems combined with Discrete Wavelet …
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
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 …
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
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 …
multistable states in PWL systems with multiple scrolls. In this paper, we show the …
Positive solutions and their existence of a nonlinear hadamard fractional-order differential equation with a singular source item using spectral analysis
Based on the spectral analysis method, Gelfand's formula, and the cones fixed point
theorem, some positive solutions with their existence of a nonlinear infinite-point Hadamard …
theorem, some positive solutions with their existence of a nonlinear infinite-point Hadamard …
Experimental verification of the multi-scroll chaotic attractors synchronization in PWL arbitrary-order systems using direct coupling and passivity-based control
Because one of the main applications of chaos synchronization is oriented to data
encryption and random number generators, fractional-order chaotic systems showing multi …
encryption and random number generators, fractional-order chaotic systems showing multi …
Synchronization of a new chaotic system using adaptive control: Design and experimental implementation
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 …
control problem of two identical Nwachioma chaotic systems in a master‐slave …