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 fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation

T Liu, H Yan, S Banerjee, J Mou - Chaos, Solitons & Fractals, 2021 - Elsevier
The definition of fractional calculus is introduced into a 3D multi-attribute chaotic system in
this paper. The fractional multi-attribute chaotic system (FMACS) numerical solution is …

Extreme multistability and extreme events in a novel chaotic circuit with hidden attractors

A Ahmadi, S Parthasarathy, N Pal… - … Journal of Bifurcation …, 2023 - World Scientific
Extreme multistable systems can show vibrant dynamical properties and infinitely many
coexisting attractors generated by changing the initial conditions while the system and its …

[图书][B] Dynamical systems and nonlinear waves in plasmas

A Saha, S Banerjee - 2021 - taylorfrancis.com
Dynamical systems and Nonlinear Waves in Plasmas is written in a clear and
comprehensible style to serve as a compact volume for advanced postgraduate students …

Dynamical analysis of the improper fractional-order 2D-SCLMM and its DSP implementation

T Liu, S Banerjee, H Yan, J Mou - The European Physical Journal …, 2021 - epjplus.epj.org
In this paper, the definition of fractional calculus introduces a newly constructed discrete
chaotic map. Interestingly, when the order is extended to the improper fractional order, the …

Dynamical properties of ion-acoustic waves in space plasma and its application to image encryption

J Tamang, JDD Nkapkop, MF Ijaz, PK Prasad… - IEEE …, 2021 - ieeexplore.ieee.org
The nonlinear ion-acoustic waves (IAWs) in a space plasma are capable of exhibiting
chaotic dynamics which can be applied to cryptography. Dynamical properties of IAWs are …

A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits

Z Zhang, L Huang - Nonlinear Dynamics, 2022 - Springer
Based on Euler equation and energy analysis, a new five-dimensional (5D) hyperchaotic
system is proposed in this paper. The new system is a conservative system which conforms …

Hyperchaotic maps of a discrete memristor coupled to trigonometric function

T Liu, J Mou, L Xiong, X Han, H Yan, Y Cao - Physica Scripta, 2021 - iopscience.iop.org
In this paper, a new chaotic map coupled with a memristor is constructed. Based on the
proposed discrete maps of sine and cosine functions, the discrete memristor is introduced …

Supernonlinear wave and multistability in magneto-rotating plasma with (r, q) distributed electrons

A Abdikian, J Tamang, A Saha - Physica Scripta, 2021 - iopscience.iop.org
Supernonlinear ion-acoustic waves (IAWs) and their multistability are studied under the
Zakharov-Kuznetsov (ZK) and modified ZK (mZK) equations in a rotating magnetized …

A new S-box generation algorithm based on multistability behavior of a plasma perturbation model

AK Farhan, RS Ali, H Natiq, NMG Al-Saidi - IEEE Access, 2019 - ieeexplore.ieee.org
This paper investigates the dynamics of a 3D plasma system that has a single symmetric
double-wing attractor moving around symmetric equilibria. Therefore, it is reasonable to …