This study investigates the impact of an inclined magnetic field (MHD) on entropy generation in double diffusive natural convective flow a wavy enclosure filled with non-Newtonian Casson fluid. The Galerkin Finite Element Method (GFEM) is employed to numerically solve standard formulation, utilizing quadratic polynomials for momentum interpolation and linear interpolating function model approximation. discretized system resolved using Newton's approach PARDISO's matrix factorization. Through...

ABSTRACT This paper investigates the bifurcation, chaos, and active control of a mixed Rayleigh‐Liénard oscillator with time delays. First, effects system parameters on supercritical pitchfork bifurcations are discussed in detail by applying fast‐slow separation method. Second, it is rigorously proved Melnikov method that chaotic vibration exists when uncontrolled selected above threshold chaos occurrence. By fine‐tuning parameters, criterion for designing to make function non‐zero derived....

Personalized recommendation systems play a crucial role in alleviating information overload and satisfying users’ specific preferences. To address the challenges of inadequate user historical data extraction cold start problem inherent traditional movie systems, we present novel personalized model known as “movie with starring roles ratings” (MSR). By incorporating multi-head attention mechanism, captures intricate relationships among diverse fields within viewing records facilitates...

ABSTRACT The dry friction coupled vibration system represents a typical nonsmooth system, and the investigation of dynamic characteristics systems is great significance for mechanical control, safe operation, formulation engineering standards. In this paper, theory periodic orbits bifurcations in class high‐dimensional piecewise smooth discontinuous explored response to need mathematical practical applications applied study two‐degree‐of‐freedom system. A global Poincaré map constructed,...

For the authentication of white rice from different geographical origins, selection outstanding discrimination markers is essential. In this study, 80 commercial samples were collected local markets Korea and China discriminated by mass spectrometry-based untargeted metabolomics approaches. Additionally, potential that belong to sugars & sugar alcohols, fatty acids, phospholipids examined using several multivariate analyses measure their efficiencies. Unsupervised analyses, including...

This paper analytically and numerically investigates the dynamical characteristics of a fractional Duffing-van der Pol oscillator with two periodic excitations distributed time delay. First, we consider pitchfork bifurcation system driven by both high-frequency parametric excitation low-frequency external excitation. Utilizing method direct partition motion, original is transformed into an effective integer-order slow system, supercritical subcritical bifurcations are observed in this case....

With more and wind power generation integrated into grids to replace the conventional turbine-generator (T-G) units, how subsynchronous resonance (SSR) of T-G units is affected becomes an important technical issue. In this paper, a group are interconnected with series compensated transmission line, some substituted by nearby DFIG-based farm (WF). Under such circumstances, SSR systems would change accordingly. This paper establishes mathematical model analyze torsional interaction (TI)...

Abstract A novel dynamic vibration absorber(DVA) model with negative stiffness and inerter-mass is presented analytically studied in this paper. The research shows there are still two fixed points independent of the absorber damping amplitude frequency curve primary system when contains inerter-mass. optimum ratio obtained based on fixed-point theory. In order to ensure stability system, it found that inappropriate inerter coefficient will cause instable screening optimal ratio. Accordingly,...

Dynamic vibration absorbers (DVAs) are widely used in engineering practice because of their good control performance. Structural design or parameter optimization could improve its efficiency. In this paper, the viscoelastic Maxwell-type DVA model with an inerter and multiple stiffness springs is investigated combination traditional theory intelligent algorithm. Firstly, expressions approximate optimal values system parameters obtained using fixed-point to deal H∞ problem, which can provide...

Purpose—This study aims to perform an in-depth analysis of double-diffusive natural convection (DDNC) in irregularly shaped porous cavity. We investigate the convective heat transfer process induced by lower wall treated as a source while side walls enclosure are maintained at temperature and concentration, remaining is adiabatic. Various factors, such Rayleigh number, Darcy effects, Hartmann Lewis number effects magnetic inclination evaluated for their influence on flow dynamics...

In this paper, we propose a novel Maxwell dynamic vibration absorber (DVA) with lever, inerter, and grounded stiffness. Firstly, the governing equation of coupled system is established. The analytical formula amplitude amplification factor primary natural frequencies are derived. There three fixed points in amplitude–frequency response curve system, which independent damping. Then, based on H∞ optimization criterion, two possible optimal parameter designs proposed model obtained. Considering...

A two-degree-of-freedom model of a nonlinear vibration absorber is considered in this paper. Both the global bifurcations and chaotic dynamics are investigated. The equations motion derived. method multiple scales used to find averaged equations. Based on equations, theory normal form obtain explicit expressions associated with double zero pair pure imaginary eigenvalues by Maple software program. fast slow modes may simultaneously exist On basis form, bifurcation analyzed perturbation...