Dynamical analysis of a toxin-producing phytoplankton-zooplankton model with refuge by Juan Li, Yongzhong Song, Hui Wan, Huaiping Zhu

“…Bifurcation analyses are given by using normal form theory which reveals reasonably the mechanisms and nonlinear dynamics of the effects of toxin and refuges, including Hopf bifurcation, Bogdanov-Takens bifurcation of co-dimension 2 and 3. …”
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Modification of Homotopy Perturbation method for addressing systems of PDEs by Osama Alkhazaleh

“…We extend MHPM to solve more intricate nonlinear systems, showcasing its adaptability and robustness through applications to Burgers’ equations and the Brusselator model. …”
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Impact Force Magnitude Analysis of an Impact Pendulum Suspended in a Vibrating Structure by R.R. Aguiar, H.I. Weber

“…The mathematical model allows a detailed nonlinear analysis, showing the rich response of the system, which includes dynamical jumps, bifurcations and chaos. …”
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Spatiotemporal Dynamics of a Delayed Viral Infection Model with Two Modes of Transmission and Immune Impairment by Hui Miao, Meiyan Jiao

“…In this paper, the dynamical behaviors for a diffusive virus infection model with two general nonlinear incidence functions, CTL immune impairment and discrete delays, are investigated. …”
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Modeling and Estimation of Thermal Flows Based on Transport and Balance Equations by Angelo Alessandri, Patrizia Bagnerini, Roberto Cianci, Roberto Revetria

“…Toward this end, a method to construct nonlinear Lyapunov functionals is addressed by relying on a polynomial diagonal structure. …”
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Dynamics Analysis of a Single Leg of Quadruped Robots Based on Udwadia-Kalaba Theory by Liang Bin, Yuan Liang, Ran Teng, Xiao Wendong, He Li

“…Considering the uncertainty of the realistic environment, a nonlinear controller is designed to track the motion trajectory using the principle of sliding mode control. …”
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Design and Experiment of Deep-position Grabbing Device of Tissue Culture Basket in Facility Agriculture by Li Chen, Liu Juan, Liu Hongliang, Ying Fuqiang

“…Based on the contact dynamics model and the nonlinear continuous collision theory,the calculation method of the collision force during the grasping process is proposed. …”
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Investigation of a spatial double pendulum: an engineering approach by S. Bendersky, B. Sandler

“…Matlab computer programs were used for solving the nonlinear differential equations by the Runge-Kutta method. …”
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New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation by Yu-Ming Chu, Shumaila Javeed, Dumitru Baleanu, Sidra Riaz, Hadi Rezazadeh

“…This work presents the new exact solutions of nonlinear partial differential equations (PDEs). The solutions are acquired by using an effectual approach, the first integral method (FIM). …”
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Existence Results for Fractional Difference Equations with Three-Point Fractional Sum Boundary Conditions by Thanin Sitthiwirattham, Jessada Tariboon, Sotiris K. Ntouyas

“…The existence of at least one solution is proved by using Krasnoselskii's fixed point theorem and Leray-Schauder's nonlinear alternative. Some illustrative examples are also presented.…”
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Stability and Hopf Bifurcation for a Delayed SIR Epidemic Model with Logistic Growth by Yakui Xue, Tiantian Li

“…Besides, we compare the delayed SIR epidemic model with nonlinear incidence rate to the one with bilinear incidence rate. …”
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Analytical and Approximate Solutions of a Novel Nervous Stomach Mathematical Model by Yolanda Guerrero Sánchez, Zulqurnain Sabir, Hatıra Günerhan, Haci Mehmet Baskonus

“…The pivotal aim of the present study is to propose the nonlinear mathematical model of the nervous stomach system based on three compartments namely, tension (T), food (F), and medicine (M). …”
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Adaptive Iterative Learning Control of Hybrid Drive Cable Parallel Manipulator by Jianbin Cao, Mingsheng Wei, Haixiao Zhao

“…For a HDCPM system with nonlinear， time-varying characteristics and repetitive time-varying disturbance， an adaptive iterative learning control strategy， which controls gain variations with the iterations， is designed. …”
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Optical band gap modulation in functionalized chitosan biopolymer hybrids using absorption and derivative spectrum fitting methods: A spectroscopic analysis by Dyari M. Mamand, Dana S. Muhammad, Daron Q. Muheddin, Karzan A. Abdalkarim, Dana A. Tahir, Hawkar A. Muhammad, Shujahadeen B. Aziz, Sarkawt A. Hussen, Jamal Hassan

“…The dopped samples show an increase in their linear optical susceptibility, third-order nonlinear optical susceptibility and nonlinear refractive indices, changing from 3.165 × 10–15 to 2.831 × 10–12 esu. …”
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An Integrated Stacking Ensemble Model for Natural Gas Purchase Prediction Incorporating Multiple Features by Junjie Wang, Lei Jiang, Le Zhang, Yaqi Liu, Qihong Yu, Yuheng Bu

“…Although existing prediction methods have achieved some success in addressing the nonlinear relationships in natural gas purchases, there remains potential for further improvement. …”
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Daily sodium intake and constipation in US adult males: an uncommon negative association revealed by national health and nutrition examination survey data from the United States (2... by Xue-Feng Peng, Hua Yang, Wen-Xing Chen, Miao Yu, Deng-Chao Wang

“…On the contrary, RCS analysis did not reveal a nonlinear association between daily sodium intake and constipation risk (P = 0.528). …”
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The role of sodium-nickel chloride (Na-NiCl2) batteries in managing uncertainty and renewable sources for empowering hybrid energy systems using bi-level CONOPT-based optimization by Abdallah Aldosary

“…The methodology leverages the CONOPT approach within the GAMS platform, which integrates sequential linear and quadratic programming algorithms with reduced gradients to address complex nonlinear optimization issues characterized by sparse and nonlinear constraints. …”
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Association between serum total bilirubin levels and 28-day all-cause mortality after intracerebral hemorrhage by Dachang Qiu, Guangwei Li, Yongfei Dong, Yongfei Dong

“…Restricted cubic spline analysis revealed a nonlinear link between mean serum TBIL levels and 28-day all-cause mortality (p for nonlinear = 0.001). …”
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Associations of the triglyceride-glucose index and remnant cholesterol levels with the prevalence of Carotid Plaque in patients with type 2 diabetes: a retrospective study by Xin Xu, Tianrong Pan, Xing Zhong, Yijun Du, Deyuan Zhang

“…According to restricted cubic splines (RCS), RC levels increased linearly with carotid plaque presence (P - nonlinear > 0.05). Conversely, the TyG index and carotid plaque presence did not associate linearly (P - nonlinear < 0.05). …”
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Luminescence properties of ZnSe single crystals co-doped with Fe and Cr by K. Lamonova, A. Prokhorov, M. Schmidbauer, A. Kwasniewski, Yu Kazarinov, M. Konuhova, A. Platonenko, Z. Remeš, K. Ridzoňová, M. Buryi

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