Spectral entropy analysis and synchronization of a multi-stable fractional-order chaotic system using a novel neural network-based chattering-free sliding mode …

PY Xiong, H Jahanshahi, R Alcaraz, YM Chu… - Chaos, Solitons & …, 2021 - Elsevier
An immense body of research has focused on chaotic systems, mainly because of their
interesting applications in a wide variety of fields. A comprehensive understanding and …

Deep recurrent neural networks with finite-time terminal sliding mode control for a chaotic fractional-order financial system with market confidence

YL Wang, H Jahanshahi, S Bekiros, F Bezzina… - Chaos, Solitons & …, 2021 - Elsevier
Disturbances are inevitably found in almost every system and, if not rejected, they could
jeopardize the effectiveness of control methods. Thereby, employing state-of-the-art …

A new fractional-order hyperchaotic memristor oscillator: Dynamic analysis, robust adaptive synchronization, and its application to voice encryption

H Jahanshahi, A Yousefpour… - Applied Mathematics …, 2020 - Elsevier
The present study proposes a new fractional-order hyperchaotic memristor oscillator. The
proposed system is studied through numerical simulations and analyses, such as the …

[HTML][HTML] The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization

SB Chen, H Jahanshahi, OA Abba… - Chaos, Solitons & …, 2020 - Elsevier
Modeling and analysis of financial systems have been interesting topics among researchers.
The more precisely we know dynamic of systems, the better we can deal with them. This …

A novel no-equilibrium HR neuron model with hidden homogeneous extreme multistability

S Zhang, J Zheng, X Wang, Z Zeng - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, a novel no-equilibrium Hindmarsh-Rose (HR) neuron model with memristive
electromagnetic induction is proposed. This memristive HR neuron model exhibits complex …

On the development of variable-order fractional hyperchaotic economic system with a nonlinear model predictive controller

H Jahanshahi, SS Sajjadi, S Bekiros, AA Aly - Chaos, Solitons & Fractals, 2021 - Elsevier
Mathematical modelling plays an indispensable role in our understanding of systems and
phenomena. However, most mathematical models formulated for systems either have an …

On the variable-order fractional memristor oscillator: Data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control

JF Li, H Jahanshahi, S Kacar, YM Chu… - Chaos, Solitons & …, 2021 - Elsevier
In the present paper, for the first time, we propose a variable-order hyperchaotic system for
information security. Firstly, we study the dynamical behaviors of a memristor oscillator …

A fractional-order hyper-chaotic economic system with transient chaos

A Yousefpour, H Jahanshahi… - Chaos, Solitons & …, 2020 - Elsevier
We introduce for the first time a fractional-order hyperchaotic economic system. In this
system, chaos generation depends upon the value of fractional-order. For certain fractional …

Controversy in financial chaos research and nonlinear dynamics: a short literature review

M Vogl - Chaos, Solitons & Fractals, 2022 - Elsevier
In this study, we apply a bibliometric analysis paired with a subsequent snowball sampling
procedure. Moreover, we display a full citation network analysis, outlining the most relevant …

A review on design and implementation of type‐2 fuzzy controllers

H Jahanshahi, A Yousefpour… - … Methods in the …, 2022 - Wiley Online Library
Nowadays, advances in different fields of technology have increased demands for reliable
controllers. Uncertainty and disturbances, which are inevitable in most real‐world systems …