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 …

Dynamics of a new hyperchaotic system and multistability

MF Abdul Rahim, H Natiq, NAA Fataf… - The European Physical …, 2019 - Springer
In this paper, a new 4D hyperchaotic system is proposed. By boosting a trigonometric
function into a single variable, the system produces different multistable regions. Bifurcation …

Dynamics and complexity of a new 4d chaotic laser system

H Natiq, MRM Said, NMG Al-Saidi, A Kilicman - Entropy, 2019 - mdpi.com
Derived from Lorenz-Haken equations, this paper presents a new 4D chaotic laser system
with three equilibria and only two quadratic nonlinearities. Dynamics analysis, including …

Study on a four-dimensional fractional-order system with dissipative and conservative properties

X Leng, S Gu, Q Peng, B Du - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, based on an existing four-dimensional integer-order conservative system, the
corresponding fractional-order system is proposed and solved by the Adomian …

Multi-scroll fractional-order chaotic system and finite-time synchronization

S Yan, Q Wang, E Wang, X Sun, Z Song - Physica Scripta, 2022 - iopscience.iop.org
The definition of fractional calculus is introduced into the 5D chaotic system, and the 5D
fractional-order chaotic system is obtained. The new 5D fractional-order chaotic system has …

Coexistence of attractors in a simple chaotic oscillator with fractional-order-memristor component: analysis, FPGA implementation, chaos control and synchronization

K Rajagopal, ST Kingni, AJM Khalaf… - The European Physical …, 2019 - Springer
In this paper, the simplest chaotic oscillator with fractional-order-memristor component
(SCOF) is proposed. Dynamical characteristics of the proposed chaotic oscillator are …

Extreme multi-stability analysis of a novel 5D chaotic system with hidden attractors, line equilibrium, permutation entropy and its secure communication scheme

AJM Khalaf, HR Abdolmohammadi, A Ahmadi… - The European Physical …, 2020 - Springer
In this paper a new 5D chaotic system with line equilibrium is designed and described to
reveal its extreme multi-stability. Hence, all of the resulting attractors are hidden. The …

A secure communication method based on 6-D hyperchaos and circuit implementation

YY Bian, WX Yu - Telecommunication Systems, 2021 - Springer
This paper presented a novel six-dimensional hyperchaotic system and constructed a new
chaotic communication encryption method to take advantage of every dimensional …

Secure communication based on microcontroller unit with a novel five-dimensional hyperchaotic system

Z Peng, W Yu, J Wang, Z Zhou, J Chen… - Arabian Journal for …, 2021 - Springer
In this paper, a five-dimensional hyperchaotic system for secure communication based on
MCU is proposed. First, a five-dimensional hyperchaotic system is constructed and the …

Nonlinear flexure of Timoshenko–Ehrenfest nano-beams via nonlocal integral elasticity

M Fazlali, SA Faghidian, M Asghari… - The European Physical …, 2020 - Springer
Nonlinear flexural behavior of elastic nano-beams under static loads is investigated in the
framework of the Eringen's nonlocal integral elasticity. The integro-differential and boundary …