THERMO-MAGNETO-ELASTIC ANALYSIS IN A CURRENT-CARRYING SHELL WITH CLAMPED PERIMETERS by BIAN YuHong, ZHANG Chen

“…Based on the kinetic equations, geometric equations, physical equations, and electrodynamics equations, the fundamental equations of a current-carrying shell under the interaction of a mechanical field,an electromagnetic field,and a temperature field were given. The nonlinear partial differential equations including 10 basic unknown variables were established.Using Newmark’s stable finite equidifferent formulas,normal type which can be solved by the discrete-orthogonalization method was obtained. …”
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Computation of the topological entropy in chaotic biophysical bursting models for excitable cells by Jorge Duarte, Luís Silva, J. Sousa Ramos

“…Although there is an elegant interpretation of many experimental results in terms of nonlinear dynamical systems, the dynamics of bursting models is not completely described. …”
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The Within-Host dynamics of malaria infection with immune response by Yilong Li, Shigui Ruan, Dongmei Xiao

“…In this article the blood-stage dynamics ofmalaria in an infected host are studied by incorporating red bloodcells, malaria parasitemia and immune effectors into a mathematicalmodel with nonlinear bounded Michaelis-Menten-Monod functionsdescribing how immune cells interact with infected red blood cellsand merozoites. …”
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Bayesian Inference of Elevation to Reduce Large Interpolation Errors in 2-d Road Features Draped Over Digital Elevation Models by Crispin H. V. Cooper

“…In the case of road networks, these errors have a severe and nonlinear effect on cycling route planners and transport models, especially those based on open elevation data. …”
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Threshold Effect of Inflation on the Relationship between Stock Market Index and Interest Rate by Kenan İlarslan

“…As a result, empirical evidence indicates that deposit interest rates have a nonlinear effect on the stock market index in Turkey, which is influenced by the level of inflation. …”
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Stabilities of Cubic Mappings in Various Normed Spaces: Direct and Fixed Point Methods by H. Azadi Kenary, H. Rezaei, S. Talebzadeh, S. Jin Lee

“…Rassias solved the above Ulam problem for linear and nonlinear mappings and established analogous stability problems even on restricted domains. …”
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Effect of Gear Eccentricity on Dynamic Behavior of Locomotive Rolling Stock Transmission System by Li Fuzhong, Du Hongmei, Li Fenglin, Fan Yiwei, Zhang Liang, Wang Zhiwei

“…The gear transmission sub-system and the locomotive system are coupled through the gear meshing, suspension system and wheel-rail interactions. The nonlinear factors such as gear backlash, time-varying meshing stiffness, track geometric irregularity and wheel-rail contact are considered in detail. …”
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Adaptive Controller Design for Improving Helicopter Flying Qualities by Wei Wu

“…An adaptive controller is designed according to the developed method for the UH-60A helicopter based on a nonlinear simulation program. Typical response types are also implemented. …”
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Improving the Validity of Squeeze Film Air-Damping Model of MEMS Devices with Border Effect by Cheng Bai, Jin Huang

“…In this paper, we use Green’s function to solve the nonlinear Reynolds equation with inhomogeneous boundary conditions. …”
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Stochastic Stabilization of Malware Propagation in Wireless Sensor Network via Aperiodically Intermittent White Noise by Xiaojing Zhong, Baihao Peng, Feiqi Deng, Guiyun Liu

“…Our results show that the nonlinear malware propagation system can be stabilized by intermittent stochastic perturbation under the intermittent time related to stochastic perturbation intensity. …”
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Fractional-Order Sliding Mode with Active Disturbance Rejection Control for UAVs by Zhikun Zhang, Hui Zhang

“…Firstly, the dynamic model of the UAV is established, and its nonlinear dynamic characteristics are analyzed in detail. …”
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A toxin-mediated size-structured population model: Finite difference approximation and well-posedness by Qihua Huang, Hao Wang

“…Motivated by the fact that individuals with different sizes may have different sensitivities to toxins, we develop a toxin-mediated size-structured model which is given by a system of first order fully nonlinear partial differential equations (PDEs). It is very possible that this work represents the first derivation of a PDE model in the area of ecotoxicology. …”
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Scattered Data Processing Approach Based on Optical Facial Motion Capture by Qiang Zhang, Xiaoying Liang, Xiaopeng Wei

“…To recover missing data, given the nonlinear relationships among neighbors with the current missing marker, we propose an improved version of a previous method, where we use the motion of three muscles rather than one to recover the missing data. …”
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Combined lock-in thermography and heat flow measurements for analysing heat dissipation during fatigue crack propagation by J. Baer, A. Vshivkov, O. Plekhov

“…Whereas the thermography measurements show a linear decrease of the signal with rising crack length, the heat flow measurements show a clearly nonlinear dependency. Obviously the measured energies in thermography and peltier based heat flow measurement are not comparable.…”
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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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A Finite Difference Scheme for Pricing American Put Options under Kou's Jump-Diffusion Model by Jian Huang, Zhongdi Cen, Anbo Le

“…By adding a penalty term, the partial integrodifferential complementarity problem arising from pricing American put options under Kou's jump-diffusion model is transformed into a nonlinear parabolic integro-differential equation. …”
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Dynamical behavior analysis and control of time-varying lifting system based on fuzzy adaptive back-stepping controller by Wang Lei, Cao Guohua

“…In this article, considering uncertainty and nonlinearity factors, the resonance phenomenon of conveyance is studied and a fuzzy adaptive back-stepping controller is proposed for rope lifting system with time-varying length and distributed parameters. …”
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Asymmetric smooth transition autoregressive model in forecasting finance rate on consumer installment loans at commercial banks by Sedigheh Zamani Mehreyan

“…Economic and finance time series are typically asymmetric and are expected to be modeled using asymmetric nonlinear time series models. The logistic smooth transition autoregressive, LSTAR, model which is an asymmetric type of the smooth transition autoregressive, is becoming popular in modeling economic and financial time series. …”
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Synthesis, Structural, Spectroscopic, and Hirshfeld Surface Analysis, and DFT Investigation of Benzaldehyde Semicarbazone by N. Sudha, S. Anbuselvi, Sudhakar Jyothula, A. Thiruppathi, B. Vijayakumar, Kartikeya Parmar, G. Puthilibai, Leevesh Kumar

“…By using single-crystal XRD, the nonlinear characteristics of the material were studied. …”
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Prediction and Analysis of Slope Stability Based on IPSO-SVM Machine Learning Model by Yu Wang, Erxia Du, Sanqiang Yang, Li Yu

“…In the evaluation and prediction of slope stability, the traditional numerical analysis method, which is over reliant on experience, takes a large amount of computing time and lacks the ability to reflect the fuzzy and nonlinear characteristics of slope parameters well. …”
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