The obesity paradox in osteoporosis risk among older adults is mostly driven by women: a population-based prospective study by Qingfeng Luo, Shiyong Zhang, Zixin Liang, Danni Wang, Yanlin Zhong, Bin Xia, Peng Xie, Can Wang, Jinqiu Yuan, Ziji Zhang, Xingsheng Li

“…Restricted cubic spline (RCS) were used to assess the nonlinear associations of BMI, WC, and fat percentage with OP. …”
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Heart rate variability as determinism with jump stochastic parameters by Jiongxuan Zheng, Joseph D. Skufca, Erik M. Bollt

“…We use measured heart rate information (RR intervals) to develop a one-dimensional nonlinear map that describes short term deterministic behavior in the data. …”
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Stability of the NLS Equation with Viscosity Effect by N. Karjanto, K. M. Tiong

“…A nonlinear Schrödinger (NLS) equation with an effect of viscosity is derived from a Korteweg-de Vries (KdV) equation modified with viscosity using the method of multiple time scale. …”
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Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces by Jiang Zhu, Lei Wei, Yeol Je Cho, Cheng Cheng Zhu

“…Also, several other important principles in nonlinear analysis are extended to cone quasi-uniform spaces. …”
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A Multistage Feedback Control Strategy for Producing 1,3-Propanediol in Microbial Continuous Fermentation by Honghan Bei, Lei Wang, Jing Sun, Liwei Zhang

“…Inspired by the control parameterization method, we use the piecewise-constant functions to approximate the coefficient functions; then we get the multistage feedback control law by solving nonlinear mathematical programming problems. Numerical results indicate the flexibility and effectiveness of our strategy.…”
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Numerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach by Nehad Ali Shah, S. Saleem, Ali Akgül, Kamsing Nonlaopon, Jae Dong Chung

“…This paper proposes a simpler method to calculate the multiplier using the Shehu transformation, making a valuable technique to researchers dealing with various linear and nonlinear problems.…”
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On Mixed Equilibrium Problems in Hadamard Spaces by Chinedu Izuchukwu, Kazeem Olalekan Aremu, Olawale Kazeem Oyewole, Oluwatosin Temitope Mewomo, Safeer Hussain Khan

“…Finally, we give a numerical example in a nonlinear space setting to illustrate the applicability of our results. …”
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An iterative method based on the average quadrature formula by Tusar Singh, Dwiti Behera, Shno Othman Ahmed, Rostam Saeed

“…The results indicate that the new approach finds the root of the nonlinear equation in fewer iterations compared to other methods, suggesting the potential superiority of our newly developed scheme.…”
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The trajectory-coherent approximation and the system of moments for the Hartree type equation by V. V. Belov, A. Yu. Trifonov, A. V. Shapovalov

“…In constructing the semiclassically concentrated solutions, a set of Hamilton-Ehrenfest equations (equations for centered moments) is essentially used. The nonlinear superposition principle has been formulated for the class of semiclassically concentrated solutions of Hartree type equations. …”
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The Exact Solutions of a Diffusive SIR Model via Symmetry Groups by R. Naz, A. G. Johnpillai, F. M. Mahomed

“…The focus of this paper is to investigate the exact solutions of a diffusive susceptible-infectious-recovered (SIR) epidemic model, characterized by a nonlinear incidence. A four-dimensional Lie point symmetry algebra is obtained for this model. …”
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Theoretical and Experimental Study on Rapid Decompression Oscillation in Altitude Chamber by Zifeng Tian, Jianfeng Lu, Zhao Gu, Lihua Yu, Hao Zhou, Lijun Yang

“…Given the frequent airflow excitation phenomenon caused by the rapid decompression of the altitude chamber, the mathematical model of the nonlinear system of the rapid decompression of the altitude chamber is established. …”
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Distributed Continuous-Time Containment Control of Heterogeneous Multiagent Systems with Nonconvex Control Input Constraints by Xue Li, Lulu Wang, Yinsen Zhang

“…This paper focuses on studying containment control problem with switching communication graphs of continuous-time heterogeneous multiagent systems where the control inputs are constrained in a nonconvex set. A nonlinear projection algorithm is proposed to address the problem. …”
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Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems by M. A. Hussain, Jarinah Mohd Ali, M. J. H. Khan

“…This paper discusses the discrete-time stability analysis of a neural network inverse model control strategy for a relative order two nonlinear system. The analysis is done by representing the closed loop system in state space format and then analyzing the time derivative of the state trajectory using Lyapunov’s direct method. …”
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Bayesian Pulsar Timing and Noise Analysis with Vela.jl: An Overview by Abhimanyu Susobhanan

“…Vela.jl provides an independent, efficient, and parallelized implementation of the full nonlinear pulsar timing and noise model along with a Python binding named pyvela . …”
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Stochastic Maximum Principle of Near-Optimal Control of Fully Coupled Forward-Backward Stochastic Differential Equation by Maoning Tang

“…This paper first makes an attempt to investigate the near-optimal control of systems governed by fully nonlinear coupled forward-backward stochastic differential equations (FBSDEs) under the assumption of a convex control domain. …”
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An Improved Version of Residual Power Series Method for Space-Time Fractional Problems by Mine Aylin Bayrak, Ali Demir, Ebru Ozbilge

“…The task of present research is to establish an enhanced version of residual power series (RPS) technique for the approximate solutions of linear and nonlinear space-time fractional problems with Dirichlet boundary conditions by introducing new parameter λ. …”
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The Existence of Cone Critical Point and Common Fixed Point with Applications by Wei-Shih Du

“…We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem related with Ekeland's variational principle, Caristi's common fixed point theorem for multivalued maps, Takahashi's nonconvex minimization theorem, and common fuzzy fixed point theorem. …”
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Research on Bearing Theory of Squeezed Branch Pile by Hong-wei Ma, Yi-ying Wu, Yu Tong, Xiao-qiang Jiang

“…In combination with the nonlinear relation of the interaction between piles and soil, the hyperbolic function is used to describe the pile tip, pile skin, and branch. …”
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Dry Friction Interblade Damping by 3D FEM Modelling of Bladed Disk: HPC Calculations Compared with Experiment by Luděk Pešek, Pavel Šnábl, Vítězslav Bula

“…HPC computation with a proposed strategy was used to lower the computational time of the nonlinear solution of the wheel resonant attenuation used for damping estimation. …”
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Sieve Method for Polynomial Linear Equivalence by Baocang Wang, Yupu Hu

“…We consider the polynomial linear equivalence (PLE) problem arising from the multivariate public key cryptography, which is defined as to find an invertible linear transformation ℒ satisfying 𝒫=𝒮∘ℒ for given nonlinear polynomial maps 𝒫 and 𝒮 over a finite field 𝔽q. …”
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