Study on Impeller Fracture Model Based on Vibration Characteristics and Fractal Theory by Xiaolong Zhang, Ruishan Yuan, Yonghui Xie

“…The failure process characterizes with strong nonlinearity, and hence it is difficult to be described by conventional methods. …”
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Hybrid quantum-classical control problems by Emanuel-Cristian Boghiu, Jesús Clemente-Gallardo, Jorge A. Jover-Galtier, David Martínez-Crespo

“…We also considered the notion of hybrid quantum-classical controllability by means of the usual definitions of geometric control theory, and we discussed how the different concepts associated to quantum controllability are lost in the hybrid context because of the nonlinearity of the dynamics. We also considered several examples of physically relevant problems, such as the spin-boson model or the notion of hybrid spline.…”
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PhD in Curriculum, Planning and Member of Research Institute of Education by Sayed Mohammad Hossein Hosseini

“…According to the research findings, chaos theory is the science of studying complex, dynamic, nonlinear, non-equilibrium systems, and complexity theory is the science of study, description, and explanation of the behavior of complex adaptive systems characterized by butterfly effect, unknown attractors, self-similarity, emergence, feedback loops, inequality, self-organization, nesting, networking, holism, nonlinearity, and unpredictability. …”
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Fault Diagnosis of Rolling Bearing based on MEEMD-DHENN by Wang Jinrui, Xie Lirong, Wang Zhongqiang, Niu Yongchao

“…According to the non-stationary and nonlinearity of the fault signals from rolling bearing,a recognition method based on Modified Ensemble Empirical Mode Decomposition（ MEEMD） and Double Hiddenlayer Elman Neural Network（ DHENN） is proposed. …”
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Semiadaptive Fault Diagnosis via Variational Bayesian Mixture Factor Analysis with Application to Wastewater Treatment by Hongjun Xiao, Yiqi Liu, Daoping Huang

“…The proposed method is capable of capturing strong nonlinearity and the significant dynamic feature of WWTPs that seriously limit the application of conventional multivariate statistical methods for fault diagnosis implementation. …”
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DYNAMIC CHARACTERISTIC OF ROD FASTENING ROTOR SUPPORTED BY FIXED-TILTING PAD GAS-LUBRICATED BEARINGS by HEI Di, ZHENG MeiRu

“…In modeling of the rod fastening rotor,the contact effect of the disks is taken as resistance bending springs with nonlinearity. Based on the boundary conditions of fixed-tilting pad gas-lubricated bearing,the differential transformation method is adopted to solve Reynolds equation,and the gas film force is obtained under the coordinate systerm of the single pad. …”
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Association between triglyceride-glucose (TyG) related indices and cardiovascular diseases and mortality among individuals with metabolic dysfunction-associated steatotic liver dis... by Yanan Qiao, Yue Wang, Cheng Chen, Yueqing Huang, Chunhua Zhao

“…RCS analyses indicated a nonlinear association of TyG with CVD outcomes (all P values for nonlinearity < 0.05), whereas there exhibited linear trends in TyG-BMI, TyG-WC, and TyG-WHtR with CVD outcomes (all P values for nonlinearity > 0.05, except for TyG-WC with stroke). …”
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WH-EA: An Evolutionary Algorithm for Wiener-Hammerstein System Identification by J. Zambrano, J. Sanchis, J. M. Herrero, M. Martínez

“…The performance of the proposed approach is analysed by using a demonstration example and a nonlinear system identification benchmark.…”
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Machine Learning ECG Classification Using Wavelet Scattering of Feature Extraction by Heyam A. Marzog, Haider. J. Abd

“…However, with increasing complexity and nonlinearity, direct observation of ECG signals and analysis is very tough. …”
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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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Unilateral Global Bifurcation from Intervals for Fourth-Order Problems and Its Applications by Wenguo Shen, Tao He

“…We establish a unilateral global bifurcation result from interval for a class of fourth-order problems with nondifferentiable nonlinearity. By applying the above result, we firstly establish the spectrum for a class of half-linear fourth-order eigenvalue problems. …”
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A Modified Algorithm Based on Haar Wavelets for the Numerical Simulation of Interface Models by Gule Rana, Muhammad Asif, Nadeem Haider, Rubi Bilal, Muhammad Ahsan, Qasem Al-Mdallal, Fahd Jarad

“…The newly established numerical technique is applied to both linear and nonlinear benchmark interface models. In the case of linear interface models, Gauss elimination method is used, whereas for nonlinear interface models, the nonlinearity is removed by using the quasi-Newton linearization technique. …”
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Reliability Evaluation of Multiple DCFP System subject to Shifting Threshold by Chunping Li, Huibing Hao, Fang Xu, Guotao Zhao

“…Considering that nonlinearity exists extensively in practice, the continuous soft failure process is governed by random effected nonlinear Wiener process. …”
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Emergence: Complexity Pedagogy in Action by Christine Jonas-Simpson, Gail Mitchell, Nadine Cross

“…Guiding concepts for the collaborative workshop were nonlinearity, distributed decision-making, divergent thinking, self-organization, emergence, and creative exploration. …”
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Bifurcation analysis of fractional Kirchhoff–Schrödinger–Poisson systems in $\mathbb R^3$ by Linlin Wang, Yuming Xing

“….$$ The main feature of this paper is the inclusion of a potentially degenerate Kirchhoff model, combined with the critical nonlinearity.…”
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Existence and regularity of pullback attractors for a 3D non-autonomous Navier–Stokes–Voigt model with finite delay by Julia García-Luengo, Pedro Marín-Rubio

“…In this manuscript previous results [Nonlinearity 25(2012), 905–930] are extended to a non-autonomous 3D Navier–Stokes–Voigt model in which a forcing term contains memory effects. …”
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Numerical Simulation of Flooding Process on Downstream Structure by Three-dimensional Dam-break Wave by YU Ruixing, LIN Qin, HE Shiming, ZHENG Yipeng, ZHENG Kaiyuan

“…It brings damages to the structures with a strong nonlinearity and complex mechanism. Based on an in-house three-dimensional parallel model, the dynamic response process of the fluid-structure interaction caused by water disasters is investigated. …”
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Hypoplastic Interface Model considering Plane Strain Condition and Surface Roughness by Yong-Gwang Jong, Yang Liu, Zixuan Chen, Pieride Mabe Fogang

“…The results indicate that the improved model can be utilized to reflect the nonlinearity of the mechanical properties of the contact surface, which is in good agreement with the experimental data.…”
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Unbounded-energy solutions to the fluid+disk system and long-time behavior for large initial data by Ferriere, Guillaume, Hillairet, Matthieu

“…Doing so, we introduce a further nonlinearity to the classical Navier Stokes equations. …”
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Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay by Ying Liu, Fei Chen, Bin Yang, Xin Wang, Weiming Wang

“…Second, it derives two kinds of finite-time estimation approaches by analyzing the impact of the nonlinearity of nonlinear coupled function on synchronization dynamics and synchronization convergence time. …”
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