An innovative idea of regression analysis based on machine learning technique for magnetohydrodynamic flow of Maxwell fluid within a cylinder is proposed. Mean Squared Error is used for the simulation of heat transfer and fluid flow. The governing flow equations involving a system of coupled, nonlinear fractional partial differential equations are solved by homotopic approach called HPM. The predicted

Neuronal synchronization plays a pivotal role in brain function, yet conventional neuron models often overlook crucial membrane properties when considering synchronization. There is a need for a comprehensive exploration of the effects of Josephson junctions (JJ) and memristors in nonlinear circuits, particularly in elucidating synchronization states, to better understand this aspect of neuronal behavior

The stochastic nonlinear Schrödinger equation with time- and space-correlated forcing in the form of additive noise is used for modeling the nonlinear evolution of modulationally unstable irregular waves. The additive noise leads to the growth of the wave energy giving rise to abnormally high waves (rogue waves). In the nonlinear regime the increase of the average wave energy occurs much more slowly

This work aims to analyze the dynamics of the restricted five-body problem when the primaries are non-spherical spheroids. We explored numerically three different scenarios: (i) when only the main body creates a potential with either oblateness or prolateness effect; (ii) when only peripheral bodies generate potentials with either oblateness or prolateness effects; and (iii) when all the primary bodies

Filtering effects, which can achieve multi-wavelength in mode-locked fiber lasers, are currently being investigated, including communications and industry. In this study, we systematically investigate the impact of pump power on the operation of the filter in mode-locked fiber lasers. An all-normal dispersion ytterbium-doped fiber laser was employed to investigate hybrid filtering structures combining

To reveal the influence of group interactions on contagion, and to accurately prevent and regulate contagion, this paper investigates the SIS contagion dynamics in complex networks with high-order interactions. First, this paper considers the synergistic effects of the first-order and second-order generalized degree of each node and proposes a novel algorithm to construct growing second-order simplicial

This paper introduces a novel ring of three identical second-order non-autonomous oscillators, a unique configuration, that are coupled unidirectionally via threshold controllers. This configuration, with threshold controllers employed both within the oscillators and for coupling, facilitates the generation of multi-scroll chaotic rotating waves. The system demonstrates various dynamics, including

Properties of long Josephson junctions, fabricated from YBCO high-temperature superconducting thin films, are investigated experimentally and by numerical modeling. Since the junctions are placed into broadband log-periodic antennas, it poses limitations on junction’s bias feed properties, affecting their dynamics. It is shown that biasing junction at the output end, connected to the antenna, makes

Since the memristor is a natural system with memory effects, the introduction of memristors into nonlinear systems brings very different dynamics compared with classical ones, and inspires the development of applications of memristors. In this article, a kind of maps via the combination of two memristors is studied. This class of memristive maps is three-dimensional (3D) and has the coexistence of

This study introduces two novel metrics within table tennis technical-tactical networks: technical decision-making style (TDS) and connecting technical style (CTS), inspired by the entropy concept, to quantify players' technical-tactical styles. This study proposes a multilayer technical-tactical network framework to capture interactive information and technique-to-technique confrontations between

Pt/Al/TiOx/HfO2/AlN/Pt devices demonstrate abrupt filamentary resistive switching (RS) that is strongly dependent on the bias polarity due to variations of the defect states in the TiOx layer, which is deposited using pulse direct current (DC) sputtering. In this study, we compare a device with a TiOx layer that serves as an oxygen reservoir layer (which has the same oxygen flow rate) with another

Node importance has been a widespread research topic owing to the impact of uncertainties and accidents on supply chains during maritime transport. Although the analysis and investigation of critical nodes using complex network theory is mature and systematic, there is often a lack of multiscale node identification models and theoretical frameworks. This paper proposes a novel quantitative analysis

The main goal of this paper is to investigate the multi-parameter stability result for a stochastic fractional differential variational inequality with Lévy jump (SFDVI with Lévy jump) under some mild conditions. We verify that Mosco convergence of the perturbed set implies point convergence of the projection onto the Hilbert space consisting of special stochastic processes whose range is the perturbed

An adaptive finite-time prescribed performance control (FTPPC) strategy is considered based on the time-delay neural network (NN) observer for the uncertain nonlinear system with unknown time-delay. Unlike previous works, a time-delay NN state observer based on the existing NN state observer is proposed, which not only solves the problem of the linear observer being unable to accurately observe the

In this paper we investigate the use of Machine Learning techniques, specifically Support Vector Machines (SVMs), to classify chaotic and regular trajectories in Hamiltonian systems and symplectic maps through Lagrangian descriptors. Traditional chaos indicators, though effective, are computationally intensive and require exhaustive parameter space exploration to establish classification thresholds

The joined effects of syntrophic relationship and substrate inhibition are considered in a diffusive model of the anaerobic digestion process. We first establish the existence and structure of coexistence solutions for the system in different growth rate parameter ranges. Numerical results suggest that the coexistence solutions of the system undergo double bifurcation in the suitable range of growth

In modern engineering practice, there is a steady increase in the need for multi-dimensional global approximations of complex black-box functions involved in today's engineering design problems. Metamodels have been proved to be effective alternatives for analyzing and predicting highly complex original models at a lower computational cost. The Kriging model is valued for its ability to predict the

Classical spectral methods are confined to numerically solving Fredholm integro-differential equations in regular domains, such as rectangles and discs. This paper aims to numerically address two-dimensional Fredholm integro-differential equations in complex geometries by combining spectral methods with mapping techniques. Initially, we transform the computational domain into a rectangular one via

In this study we have investigated the impact of the changes induced by ion irradiation on the performance and reliability of Au/Ta/ZrO2(Y)/Pt/Ti memristive devices. A comprehensive experimental approach was employed, involving irradiation with various ion species, including H+, Ne+, O+, and Kr+ to simulate different radiation environments. Thus, advanced statistical and modeling techniques to analyze

Self-sustained motions, which absorb energy from a steady environment to maintain continuous movement, hold great potential for applications in soft robotics and energy harvesting. However, achieving directional flexibility in such systems often requires adjusting material expansion-contraction properties, light source positioning, or structural design, limiting broader applications of active-material-based

By changing the depth of the waveguide and adjusting the band structure to make the bandgap appear, the influence of the integer- and fractional-order diffractions on two-dimensional spatial localized modes in the II-type Dirac photonic lattices are investigated. Under the nonlinear action, the linear topological mode is transformed into a set of topological gap solitons, which form stable integer-order

Stochastically ultimate boundedness and Lyapunov exponent estimation are fundamental in the analysis of stochastic models. These properties are particularly crucial for addressing stochastic biological models that incorporate delays, necessitating the application of advanced mathematical techniques. In this paper, a stochastic tick population model incorporating non-linear delayed Gamma-Ricker function

Fractional-order derivative-based modeling is crucial for describing real-world forecasting problems and analyzing proposed models. It provides an advanced framework for examining intricate variations in various systems, enhancing understanding and analysis. We present a new fractional order nonlinear model for dynamics and forecasting of nitrogen oxides (NOx) and ozone (O3) in the atmosphere, crucial

Self-sustained locomotion, as a potent tool for tackling intricate problems and navigating diverse challenges, has made notable strides across various disciplines such as bionics, soft robotics, and energy harvesters, owing to its efficiency, resourcefulness, and flexibility. Nonetheless, single-mode self-sustained motion in varied environments is typically tailored to specific task requirements and

This study aims to investigate and improve the performance of a vibration energy harvester (VEH) with geometric nonlinearities from a global-dynamics point of view. According to static bifurcation analysis of the VEH dynamic system, the initial assembly angle between each rod and the midline is selected as a key structural parameter to be adjusted for configuring bistable wells and lowering the potential

We present a parasitic model to explore the complex interaction between the desert shrub Haloxylon ammodendron and its parasitic plant Cistanche deserticola. This model incorporates the influence of harvesting practices on the host plant, which can lead to strong, weak, or no Allee effects, thereby significantly impacting the coexistence dynamics of the host-parasite system. Through a comprehensive

A novel stochastic susceptible-infected-recovered-susceptible-environment (SIRSW) epidemic model with logarithmic Ornstein–Uhlenbeck process and nonlinear incidence rate is proposed based on the diversity of transmission routes of some infectious diseases and the prevalence of stochastic disturbances. We show, firstly, the global dynamics of the according deterministic model. Secondly, the existence

This piece of research intends to model the mathematical expressions for heat and mass transfer in the boundary layer flow of a non-Newtonian fluid over a radiative paraboloid surface. The non-Newtonian fluid model, specifically the Cross Nanofluidic Model (DNFM), exhibits shear thickening and thinning behavior. The governing equations are obtained from the CNFM and are manipulated from Partial Differential

Understanding the dynamics of predator–prey systems in the presence of different environmental variability is crucial in ecology for forecasting population behaviour and ensuring ecosystem sustainability. It is a challenging aspect of studying spatio-temporal dynamics in the presence of environmental variability. We provide a noise-induced spatio-temporal predator–prey model to explore how temporal

This study investigates city dynamics employing a nonextensive diffusion equation suited for addressing diffusion within a fractal medium, where the nonadditive parameter, q, plays a relevant role. The findings demonstrate the efficacy of this approach in determining the relation between the fractal dimension of the city, the allometric exponent and q, and elucidating the stationary phase of urban

This research paper examines the chaos control in porous media convection by imposing an external excitation on the system. The excitation is under the form of a quasi-periodic gravitational modulation with two incommensurate frequencies σ1 and σ2. This will be accomplished by taking into consideration a two-dimensional rectangular porous layer that is saturated with fluid, heated from below, and subjected

In this article, we explain the invariant subspace approach for (2+1) and (3+1)-dimensional m-component nonlinear coupled systems of PDEs with and without time delays under three different time-fractional derivatives. Also, we explain how this method can be used to derive different types of generalized separable solutions for the nonlinear systems mentioned above through the obtained invariant subspaces

As a basic component with special nonlinearity, memristor is widely used in chaotic circuits. In this paper, based on the mathematical model of a discrete cosine memristor, we constructed a class of new 3-D discrete memristive chaotic maps (3DDMCM) with infinite equilibrium points or no equilibrium points. Theoretical analysis and numerical simulations demonstrate that the 3DDMCM can generate an arbitrary

This paper deals with a system of interacting telegraph particles starting with different positions on a straight line. It is well-known that the instant of the first collision of two telegraph particle, that starts from different points on a line, has an infinite expectation. Our goal is to find a sufficient number of particles of the system such that the minimum of the first collision instants for

The permittivity, permeability, and tangent loss of high magneto-optical mediums are controlled and modified in this manuscript. The paramagnetism and diamagnetism are controlled by the changing of strength and phases of the coupled driving fields. In addition, the study of the electric and magnetic tangent loss involves varying the phases of the control fields. The highest positive as well as negative

The study presents symmetry classifications of the linearized Navier–Stokes equations, governing the three-dimensional incompressible plane shear flows. The linearization is done with respect to small perturbations. In the case of a two-dimensional shear flow with a linear profile, Nold and Oberlack (PoF, 2013) showed the existence of three different kinds of linear instability modes using the framework

Chimeric antigen receptor T-cell (CAR-T) therapy is considered a promising cancer treatment. The dynamic response to this therapy can be broadly divided into a short-term phase, ranging from weeks to months, and a long-term phase, ranging from months to years. While the short-term response, encompassing the multiphasic kinetics of CAR-T cells, is better understood, the mechanisms underlying the outcomes

Considering the transportation of goods and movement of people between social zones and lockdown zones through channels such as medical activities and express deliveries, we propose a non-Markovian disease transmission model in a coupled system. Simulation and prediction results for COVID-19 spreading during the lockdowns of cities such as Shanghai, Beijing and Jilin in 2022 demonstrate that the coupled-system

We consider the numerical approximation of the asymptotic behavior of an age-structured compartmental population model for the dynamics of the sexual phase of Monogonont rotifera. To cope with the difficulties of the infinite lifespan in long-time simulations, the main approach introduces a second order numerical discretization of a reformulation of the model problem in terms of a new computational

Entropy serves as an effective method for quantifying the irregularity and complexity of nonlinear time series or complex signals. Recently, a novel entropy measure, attention entropy (AE), has been introduced for detecting interbeat interval time series. However, the original AE focuses solely on peak points, potentially overlooking crucial information embedded in signals. In this paper, we present

We study a one-dimensional split-ring resonator array containing a single linear/nonlinear magnetic impurity where the usual discrete Laplacian is replaced by a fractional one. In the absence of the impurity, the dispersion relation for magnetoinductive waves is obtained in closed form, with a bandwidth that decreases with a decrease in the fractional exponent. Next, by using lattice Green functions

Systemic risks do not arise only as a result of a crisis event, and it is important to understand the ex-ante risk contagion mechanisms. There has been no research on ex-ante contagion valuation and contagion modeling of multilayer networks. This study proposes the ex-ante-contagion mechanism of a two-layer network financial system with interbank lending connections and cross-holding connections, constructs

This paper introduces balanced implicit two-step Maruyama methods for solving Itô stochastic differential equations. Such methods, compared to those corresponding standard linear two-step Maruyama methods, have better mean-square properties, which is confirmed by a comparison of the stability regions for some particular two-step Maruyama methods. Moreover, the convergence order is investigated which

This article is devoted to explore the abilities of an iterative scheme for the approximation of fixed points of self-maps, called the N-algorithm, defined in a previous paper. In a first part of the article, the algorithm is modified in order to consider operators with asymptotic properties, namely nearly uniform contractions and nearly asymptotically nonexpansive mappings. Sufficient conditions on

A scheme is theoretically proposed to generate nonreciprocal unconventional photon blockade (NUPB) via Barnett effect in a hybrid cavity magnonic system. In the hybrid cavity magnonic system, a spinning yttrium iron garnet (YIG) sphere is coupled to two microwave cavities. We consider one of the microwave cavities with χ(2) nonlinearity is pumped by a two-photon driving field, and the other one is