Design of intelligent computing networks for nonlinear chaotic fractional Rossler system

AH Bukhari, MAZ Raja, N Rafiq, M Shoaib… - Chaos, Solitons & …, 2022 - Elsevier
In a recent development, the legacy of fractional-order multi-dimensional chaotic systems
has attracted numerous researchers owing to their valuable applications in cryptology …

A new fractional-order complex chaotic system with extreme multistability and its implementation

L Ren, S Li, S Banerjee, J Mou - Physica Scripta, 2023 - iopscience.iop.org
In this paper, a new fractional-order complex chaotic system (FOCCS) is proposed and
studied. Firstly, the dissipativity and stability are discussed. Secondly, the dynamical …

Stability and Hopf bifurcation for a quaternion-valued three-neuron neural network with leakage delay and communication delay

M Zhu, B Wang, Y Wu - Journal of the Franklin Institute, 2023 - Elsevier
This paper proposes the stability and Hopf bifurcation for a quaternion-valued neural
network (QVNN) with leakage delay and communication delay. Due to the higher order of …

A new multistable chaotic system with memristor and memcapacitor for fractional-order: dynamical analysis, implementation, and synchronization

L Ren, J Mou, H Jahanshahi, AA Al-Barakati… - The European Physical …, 2023 - Springer
In this paper, a new multistable chaotic system with memristor and memcapacitor for
fractional-order is constructed. A chaotic oscillator of parallel memcapacitor and memristor is …

A four-dimensional chaotic system with coexisting attractors and its backstepping control and synchronization

S Yan, J Wang, E Wang, Q Wang, X Sun, L Li - Integration, 2023 - Elsevier
This paper constructs a new four-dimensional dissipative chaotic system with coexisting
attractors. The system's dynamic behaviors are analyzed through the numerical simulation of …

Numerical investigation of fractional order chaotic systems using a new modified Runge-Kutta method

AS Lekshmi, V Balakumar - Physica Scripta, 2024 - iopscience.iop.org
This article introduces a new modified two-stage fractional Runge-Kutta method for solving
fractional order dynamical systems. The non-integer order derivative is considered in the …

Utilizing Fractional Artificial Neural Networks for Modeling Cancer Cell Behavior

R Behinfaraz, AA Ghavifekr, R De Fazio, P Visconti - Electronics, 2023 - mdpi.com
In this paper, a novel approach involving a fractional recurrent neural network (RNN) is
proposed to achieve the observer-based synchronization of a cancer cell model. According …

Complex bio rhythms

A Akgul, MA Savi, MZ Yildiz, MAF Sanjuan… - The European Physical …, 2022 - Springer
Complex biorhythms are characteristic of ubiquitous phenomena appearing in many
disciplines of human knowledge. This Special Issue collects articles devoted to different …

Bifurcations and multistability in a physically extended Lorenz system for rotating convection

NC Pati - The European Physical Journal B, 2023 - Springer
We present a four-dimensional generalized Lorenz system for rotating weakly shear-
thinning fluid layer subjected to heating from below. Various bifurcation patterns enroute to …

An extremely multistable complex chaotic system under boosting control

F Yang, L Xiong, X An - International Journal of Bifurcation and …, 2022 - World Scientific
In order to explore the phenomenon of coexisting attractors in complex chaotic systems, a
multistable complex chaotic system is designed by using a cosine function and a control …