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The Nipah virus (NiV) is a zoonotic pathogen known for causing severe illnesses in both animals and humans, including encephalitis and respiratory issues. In this study, we present a nonlinear system of ordinary differen...

Abstract This study introduces a novel nonlinear mathematical model by considering three dynamic variables: densities of human population and industries, and concentration of atmospheric pollutants. The formulated model ...

"Pulse propagation in nonlinear waveguides is most frequently modeled by resorting to the generalized nonlinear Schrödinger equation (GNLSE). In recent times, exciting new materials with peculiar nonlinear properties, s...

The purpose of this paper is to investigate the determinants of sovereign bond market liquidity across EU member states, with particular attention to the role of market size. Using panel data for 26 EU countries over the...

We theoretically study the nature of parametrically driven dissipative Kerr soliton (PD-DKS) in a doubly resonant degenerate micro-optical parametric oscillator (DR-DμOPO) with the cooperation of χ(2) and χ(3) nonline...

Abstract In this paper, we investigate the dynamical behaviour and soliton solutions of the M-fractional Kairat-II equation. Initially, soliton solutions are obtained using the new extended direct algebraic method. To en...

Mathematics and computer science play a pivotal role in modern biology. Dynamical models based on differential equations are particularly adapted to describe dynamic behaviors of many biological processes. However, tradi...

Ultrafast pulses, particularly those with durations under 100 fs, are crucial in achieving unprecedented precision and control in light–matter interactions. However, conventional on-chip photonic platforms are not in...

Rapid progress of experimental biology has provided a huge flow of quantitative data, which can be analyzed and understood only through the application of advanced techniques recently developed in theoretical sciences. O...

Many real-life signals and, in particular, in the space physics domain, exhibit variations acrossdifferent temporal scales. Hence, their statistical momenta may depend on the time scale at which the signal is studied. To...

The tension between economic expansion and climate mitigation necessitates a deeper understanding of how finance, energy demand, and innovation jointly shape carbon emissions in emerging economies. In China, rapid financ...

Controlling nonlinear pulse propagation in optical fibers is paramount for applications spanning spectroscopy and optical communication networks. However, the inherent complexity of laser pulse evolution in matter, shape...

We evaluate the performance of novel numerical methods for solving one-dimensional nonlinear fractional dispersive and dissipative evolution equations. The methods are based on affine combinations of time-splitting integ...

Accurate melting point prediction for nitro-containing flexible organic molecules is critical for optimizing their performance in pharmaceuticals, energetic materials, and chemical processing. Using nine representative n...

Abstract Production safety and efficiency depends on the reliability of the critical components in industrial equipment. However, signals measured by sensors may have complicated nonlinear and long-term sequential dynami...

Abstract In order to address health monitoring issues on offshore wind turbines, while taking into account engineering know-how and constraints, we propose a robust model identification procedure based on reliability of ...

The article focuses on the impact of loads from railway rolling stock on the condition of the ballast prism, the propagation of vibrations in the foundation, and their effect on the dynamic behavior of a high-rise reinfo...

This benchmark case study introduces recently developed state-of-the-art general purpose multi-modal nonstationary reliability assessment method for marine, offshore, and naval structures, suitable for physically measure...

Abstract Semi-autogenous grinding (SAG) mill performance prediction remains limited by empirical calibration requirements in conventional population balance models. This study presents a structured dynamic framework inte...

Background: As athletes develop, their motor patterns evolve from variable to adaptive neuromuscular control strategies, enabling precise execution of complex movements. Traditional linear biomechanical analyses of wrest...

Abstract Carbon markets play a critical role in emission reduction and sustainable economic transition; however, carbon price series exhibit high volatility, nonlinear dynamics, and complex cross-feature interactions, ma...

BackgroundInfluenza poses a significant global public health threat, with its pandemic potential and seasonal variability presenting formidable challenges to prediction accuracy. This study leverages high-quality weekly ...

Abstract Echo State Networks are recurrent neural networks that leverage a random reservoir’s dynamics, training only a simple readout layer. This approach is computationally efficient but limits network performance. B...

In the present study, the transmission error (TE) behaviour of an identical involute spur gear pair dynamically coupled with an attached subsystem is investigated through numerical modelling. The surrounding mechanical s...