Associations of comprehensive dietary antioxidant index with postmenopausal femur bone mineral density and osteoporosis: data from the national health and nutrition examination sur... by Jianbo Sun, Jie Wang, Wu Hu, He Huang, Hongmou Zhao

“…Moreover, there were nonlinear relationships between CDAI and risk of osteoporosis. …”
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Formation of the Educational Trajectory: Educational Motives and Choices in the Narratives of Students from Moscow Leading Universities by A. V. Noskova, D. V. Goloukhova, E. I. Kuzmina

“…Informants described their subjective educational experience as a sequence of choices they made in the space of higher education.Analysis  of  students’  narratives  made  it  possible  to  qualitatively  differentiate  between  linear  and  nonlinear  trajectories,  as  well  as  their  subtypes,  differing  in  their  internal  motivation and educational settings. …”
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The Associations of Platelet Activation and Coagulation Parameters with Obstructive Sleep Apnoea: A Large-Scale Observational Study by Jundong Yang, Wenjun Xue, Zhicheng Wei, Caiqiong Hou, Huaming Zhu, Huajun Xu, Xiaolin Wu, Yunhai Feng, Xinyi Li

“…Conclusion. Our study revealed nonlinear relationships between PDW and APTT, and AHI and ODI, in OSA, with AHI and ODI increasing the risk of an abnormal PDW and thus also the cardiovascular risk. …”
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Green approach to synthesis polymer composites based on chitosan with desired linear and non-linear optical characteristics by Dyari M. Mamand, Sarkawt A. Hussen, Shujahadeen B. Aziz

“…The oscillator’s strength ( $$\:{S}_{0}$$ ) and wavelength ( $$\:{\lambda\:}_{0}$$ ) were determined via the Sellmeier model using the linear refractive index. The first-order nonlinear ( $$\:{\chi\:}^{\left(1\right)}$$ ), second-order non-linear ( $$\:{\chi\:}^{\left(2\right)}$$ ) and third-order nonlinear optical susceptibility ( $$\:{\chi\:}^{\left(3\right)}$$ ) were determined for all the films.…”
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Oscillation of Two-Dimensional Neutral Delay Dynamic Systems by Xinli Zhang, Shanliang Zhu

“…We consider a class of nonlinear two-dimensional dynamic systems of the neutral type (x(t)-a(t)x(τ1(t)))Δ=p(t)f1(y(t)), yΔ(t)=-q(t)f2(x(τ2(t))). …”
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The impact of immune cell interactions on virus quasi-species formation by Ali Moussaoui, Vitaly Volpert

“…Numerical simulations were employed to elucidate the nonlinear dynamics and pattern formation inherent in the nonlocal model.…”
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Asymptotic Behavior of Solutions to a Vector Integral Equation with Deviating Arguments by Cristóbal González, Antonio Jiménez-Melado

“…In the case of q(t,s)=(t-s)+, its solutions with asymptotic behavior given by ω(t) yield solutions of the second order nonlinear abstract differential equation y''(t)-ω''(t)+F(t,y(γ1(t)),…,y(γN(t)))=0, with the same asymptotic behavior at ∞ as ω(t).…”
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Seismic Performance of Steel Frames with Semirigid Connections by Iman Faridmehr, Mahmood Md. Tahir, Tom Lahmer, Mohd Hanim Osman

“…The nonlinear stiffness matrix method was incorporated to investigate the structural performance of steel portal frames with semirigid connections. …”
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Analyzing dead core formation in catalyst pellets of various geometries under non-isothermal conditions by M. Menaka, R. Manimaran, S. Saravanakumar, L. Rajendran, A. Eswari

“…The model investigates the nonlinear reaction-diffusion equations governing reactions within catalyst pellets, focusing on the spatial distribution and transformation of substances. …”
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Resonant Tunneling Nanostructures: Eliminating Current Saturation on Negative Differential Conductivity Region in Compact Dissipative Simulations by Natalia Vetrova, Evgeny Kuimov, Sergey Meshkov, Vladimir Sinyakin, Mstislav Makeev, Vasiliy Shashurin

“…This makes the developed compact model effective for simulating the operation of a wide range of devices with a resonant tunneling diode as a nonlinear element, regardless of the position of the operating point.…”
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Detection of the onset of numerical chaotic instabilities by lyapunov exponents by Alicia Serfaty De Markus

“…It is commonly found in the fixed-step numerical integration of nonlinear differential equations that the size of the integration step is opposite related to the numerical stability of the scheme and to the speed of computation. …”
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An Efficient Series Solution for Fractional Differential Equations by Mohammed Al-Refai, Mohamed Ali Hajji, Muhammad I. Syam

“…We introduce a simple and efficient series solution for a class of nonlinear fractional differential equations of Caputo's type. …”
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Multipoint BVP for the Langevin Equation under φ-Hilfer Fractional Operator by Mohammed A. Almalahi, Satish K. Panchal, Fahd Jarad

“…In this research paper, we consider a class of boundary value problems for a nonlinear Langevin equation involving two generalized Hilfer fractional derivatives supplemented with nonlocal integral and infinite-point boundary conditions. …”
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A Class of Three-Step Derivative-Free Root Solvers with Optimal Convergence Order by F. Soleymani, S. Karimi Vanani, M. Jamali Paghaleh

“…To test the derived methods from the class, we apply them to a lot of nonlinear scalar equations. Numerical examples suggest that the novel class of derivative-free methods is better than the existing methods of the same type in the literature.…”
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Crashworthiness Design for Bionic Bumper Structures Inspired by Cattail and Bamboo by Tao Xu, Nian Liu, Zhenglei Yu, Tianshuang Xu, Meng Zou

“…In this study, we evaluated the bionic bumper structure models by using nonlinear finite element (FE) simulations for their crashworthiness under full-size impact loading. …”
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Possibilities for Advanced Encoding Techniques at Signal Transmission in the Optical Transmission Medium by Filip Čertík, Rastislav Róka

“…An attention is focused on the high data rate signal transmission in the optical fiber influenced by linear and nonlinear environmental effects presented by the prepared simulation model. …”
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An Agent-Based Model of Opinion Polarization Driven by Emotions by Frank Schweitzer, Tamas Krivachy, David Garcia

“…This information feeds back on the dynamics of emotional states and individual opinions in a nonlinear manner. We derive the critical conditions for emotional interactions to obtain either consensus or polarization of opinions. …”
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Multifractal Detrended Cross-Correlation Analysis of the Return-Volume Relationship of Bitcoin Market by Wei Zhang, Pengfei Wang, Xiao Li, Dehua Shen

“…The empirical results based on multifractal detrended cross-correlation analysis (MF-DCCA) reveal that (1) the nonlinear dependencies and power-law cross-correlations in return-volume relationship are found; (2) all cross-correlations are multifractal, and there are antipersistent behaviors of cross-correlation for q=2; (3) the price of small fluctuations is more persistent than that of the volume, while the volume of larger fluctuations is more antipersistent; and (4) the rolling window method shows that the cross-correlations of return-volume are antipersistent in the entire sample period.…”
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Sledgehamr: Simulating Scalar Fields with Adaptive Mesh Refinement by Malte Buschmann

“…Understanding the nonlinear dynamics of coupled scalar fields often necessitates simulations on a 3D mesh. …”
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On the stabilization of internally coupled map lattice systems by Weihong Huang

“…The adaptive adjustment mechanism is applied to the stabilization of an internally coupled map lattice system defined by xi,t+1=G((1−αi−βi)xi,t+αixi+1,t+βixi−1,t), where f:ℝ→ℝ is a nonlinear map, and α and β are nonnegative coupling constants that satisfy the constraint αi+βi<1, for all x∈ℝ, i=1,2,…,n. …”
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