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

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

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

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

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

Social cohesion, defined by mutual cooperation and robust social connections, is fundamental for addressing collective challenges. With the growing prevalence of inequality in modern societies, its potential impact on the formation of social cohesion cannot be overlooked. This study investigates social cohesion within a population by incorporating individuals with binary endowments (including both

We have shown that a stochastic heat engine which is modelled by an over-damped random particle confined in an externally driven time-varying logarithmic-harmonic potential could behave like the wave amplitude of a system of weakly interacting waves. The system of weakly interacting waves may thus serve as an empirical testing ground of the stochastic heat engine. In addition, we have proposed a simple

The advent of social media platforms has revolutionized information consumption patterns, with individuals frequently engaging in these platforms for social interactions. This trend has fostered an environment where people gravitate towards information that aligns with their preconceived notions, leading to the formation of echo chambers and polarization within the society. Recently introduced activity-driven

A practical predefined-time control of multi-agent nonlinear systems with full-state constraints is studied in this paper, where the multiple agents are driven to reach consensus. Compared with existing related research, this predefined-time control can directly constrain all states instead of constraining tracking and virtual errors and ensure the practical predefined-time stability of closed-loop

In dryland ecosystems, broader spatial patterns not only directly depict the structure of vegetation distribution within the study area, but also indirectly reflect the resilience of the ecosystem. Climate change threatens the evolution of these spatial patterns, highlighting the urgent need to integrate climate change into research efforts. However, few spatiotemporal models couple vegetation with

In order to study the transmission mechanism of animal disease, thereby better controlling it and protecting human health, this work deals with a stochastic eco-epidemiological model, in which the infectious force of animal disease is described by the half-saturated incidence rate. And we attempt to introduce white noises and Lévy jumps as environmental perturbances in our proposed model. Before analyzing

This paper investigates a stochastic SIR epidemic model for the Hepatitis B virus (HBV), which includes two types of white noise disturbances that influence both disease transmission and recovery rates. We use Lyapunov functions to establish the solution’s global existence and positivity. In addition, we investigate conditions for HBV extinction and uniform persistence, using appropriate Lyapunov functions

The aim of this paper is to study an optimal control problem for a non-autonomous model with one predator and two prey species, one strong and the other weak. The resulting model incorporates a weak Allee effect in the strong prey, seasonal breeding in both preys, and an extra-food supply. The model takes into account the death rate of predators, which results in a decrease in their biomass. We prove

Mining key nodes in multilayer networks is a topic of considerable importance and widespread interest. This task is crucial for understanding and optimizing complex networks, with far-reaching applications in fields such as social network analysis and biological systems modeling. This paper proposes an effective and efficient fuzzy weighted information model (FWI) to analyze the influential nodes in

As the fundamental unit of the nervous system, neuron is essential for transmitting and processing information, playing a critical role in brain activity regulation. This article develops an electrically coupled Hindmarsh-Rose (HR) neurons incorporating external stimuli to simulate biological neuronal behavior. The bifurcation plot with varying the coupling strength of the system are analyzed through

This study presents dynamical equations for a variable mass fourth body, accounting for radiation from the first primary body and oblateness in the second and third primary bodies. Our findings reveal that the number and positional evolution of Lagrangian points are highly sensitive to variations in radiation, oblateness, and perturbation parameters in the uv− and uw−plane, leading to the emergence

Interaction relationships are fundamental to the behavior of complex systems. This study, grounded in Boolean discrete systems, conducts a comprehensive investigation of ordered Boolean functions, elucidating their stabilization capacities, sources of ordering, and significance in gene networks. Our findings confirm that, irrespective of their original configuration or mode, ordered Boolean functions

The discrete time Vicsek model confined by a harmonic potential explains many aspects of swarm formation in insects. We have found exact solutions of this model without alignment noise in two or three dimensions. They are periodic or quasiperiodic (invariant circle) solutions with positions on a circular orbit or on several concentric orbits and exist for quantized values of the confinement. There

A vortex molecule is predicted in a spin–orbit-coupled spin-1 Bose–Einstein condensate. This type of asymmetric soliton features four off-axis vortices and none of them coincide. There are two vortices of the same charge in the first and the third component, respectively, and two vortices of the opposite charge in the second component. This particular arrangement of vortices constitute a spin vortex

Photonic systems are gaining recognition for their potential to enable ultrafast, parallel decision-making in secure communications and artificial intelligence. However, existing systems often struggle with complex hardware and the generation of reliable, high-speed signals. Chaotic lasers, due to their nonlinearity and broad output, offer a promising solution to these challenges. In this study, we

We analyze mechanisms of stochastic transformations of complex oscillatory regimes in the 2D Rulkov model with the smooth map. In the birhythmicity parametric zone with coexistence of periodic and chaotic oscillations, noise-induced transitions from regular spiking to chaotic bursting are studied. In the monorhythmicity zone of regular periodic oscillations, the stochastic phenomenon of the systematic

We investigate the criticality of the athermal, nonequilibrium random field Ising model on three-dimensional lattices with coordination number z=3. Using state-of-the-art numerical simulations and finite-size scaling analysis, we address a longstanding theoretical question: the absence of disorder-induced critical behavior in systems with low coordination numbers. Our results provide compelling evidence

The Fibonacci sequence is a fascinating mathematical concept with profound significance across various disciplines. Beyond theoretical intrigue, it finds practical applications in art, architecture, nature, and financial markets. The Fibonacci sequence, defined by each number is the sum of the two preceding ones (0, 1, 1, 2, 3, 5, 8, 13, …). This sequence of numbers, often attributed to the 12th century

With the rapid development of vehicle-to-everything communication and autonomous driving technology, research on connected and automated vehicles (CAVs) is experiencing significant growth. Multiple vehicles with different intelligence levels will coexist for the foreseeable future. This paper proposes an adaptive car-following control framework designed to dynamically form platoons or operate individually

This paper examines the economic and ecological dynamics that arise in a natural park from the interaction between the tourists that visit the park and the species living there. We consider two species whose interaction is determined by Lotka–Volterra prey–predator equations. The tourists’ decision to visit the park is affected by the entrance fee as well as by the possibility of observing the two

The problem of global exponential synchronization for impulsive chaotic neural networks with multiple time-varying transmission and leakage delays is studied in this article. A system solution-based direct analysis method is proposed to obtain sufficient conditions for global exponential synchronization of master–slave systems. On the one hand, the method is convenient for handling synchronization

The rising incidence of chronic diseases and the outbreak of infectious diseases have posed significant challenges to regional healthcare systems. As critical institutions within these systems, hospitals urgently need effective monitoring of their status and developing strategies to ensure their continued operation. This study introduces the concept of hospital robustness and investigates the ability