Fault Diagnosis Method for Rotating Machinery Based on Hierarchical Amplitude-Aware Permutation Entropy and Pairwise Feature Proximity by Ling Shu, Jinxing Shen, Xiaoming Liu

“…With a view to solving the defect that multiscale amplitude-aware permutation entropy (MAAPE) can only quantify the low-frequency features of time series and ignore the high-frequency features which are equally important, a novel nonlinear time series feature extraction method, hierarchical amplitude-aware permutation entropy (HAAPE), is proposed. …”
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Bifurcation Analysis with Aerodynamic-Structure Uncertainties by the Nonintrusive PCE Method by Linpeng Wang, Yuting Dai, Chao Yang

“…Structure uncertainty of parameters is more sensitive for bifurcation. When the nonlinear stall flutter and bifurcation are concerned, more attention should be paid to the separation process of aerodynamics and parameters about pitch DOF in structure.…”
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Effects of Thermodiffusion and Chemical Reaction on Magnetohydrodynamic-Radiated Unsteady Flow Past an Exponentially Accelerated Inclined Permeable Plate Embedded in a Porous Mediu... by B. Prabhakar Reddy, M. H. Simba, Alfred Hugo

“…The governing nondimensional set of coupled nonlinear partial differential equations with related initial and boundary conditions are solved numerically by using the accurate and efficient DuFort–Frankel’s explicit finite difference method. …”
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A New Formulation on Seismic Risk Assessment for Reinforced Concrete Structures with Both Random and Bounded Uncertainties by Xiao-Xiao Liu, Yuan-Sheng Wang

“…The interstory drift and the acceleration as two responses of the case study are, respectively, obtained by utilizing Incremental Dynamic Analysis and nonlinear history analysis.…”
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Butterfly Diversity from Farmlands of Central Uganda by M. B. Théodore Munyuli

“…Farmers are encouraged to protect and increase on-farm areas covered by complex traditional agroforests, linear, and nonlinear seminatural habitats to provide sufficient breeding sites and nectar resources for butterflies.…”
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Analysis of Fractional-Order Regularized Long-Wave Models via a Novel Transform by Nehad Ali Shah, Essam R. El-Zahar, Ali Akgül, Adnan Khan, Jeevan Kafle

“…In fact, when compared to other analytical techniques for solving nonlinear fractional partial differential equations, the present method might be considered one of the finest.…”
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Optimal Location of Multiple Tuned Mass Dampers in Regular and Irregular Tall Steel Buildings Plan by Mohsen Khazaei, Reza Vahdani, Ali Kheyroddin

“…In this research, the performance of multiple tuned mass dampers (MTMDs) is investigated in L- and U-shaped regular and irregular tall steel buildings with 10 and 20 floors, under the near- and far-field records. Nonlinear time history analysis is also applied to evaluate the multiple tuned mass dampers effects on the seismic responses of the structures. …”
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Development of seismic fragility curves for buckling- restrained braced structures under far-field motions considering soil-structure interaction by Hasan Ghasemzadeh, Reza Khodabakhshi Soureshjani

“…The study includes fragility seismic analysis, considering the SSI effects on BRB structures at different performance levels, such as immediate occupancy (IO), life safety (LS), and collapse prevention (CP). The nonlinear soil behavior is represented using the Drucker-Prager model, and the soil boundary conditions are determined based on the Leismer theory. …”
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Active Earth Pressure for Sloping Finite Soil While Accounting for Shear Stress and Curved Slip Surface by Weiwei Wang, Xinxi Liu, Weidong Hu, Hua Luo, Guanghui Wang

“…The result revealed that the horizontal component of the active earth pressure distribution curve for sloping finite soil was linear in area I and nonlinear with a drum shape in area II. There was a noticeable change at the junction of the two areas. …”
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Machine Learning-Based Probabilistic Seismic Demand Model of Continuous Girder Bridges by Wenshan Li, Yong Huang, Zikai Xie

“…The aim of this study is to propose a procedure to generate PSDMs for a typical regular continuous-girder bridge subjected to far and near-fault ground motions (GMs) utilizing machine-learning methods. A series of nonlinear time history analyses (NTHAs) is carried out to calculate the damage caused by the far and near-fault GMs for four different site conditions, and 21 seismic intensity measures (IMs) are considered. …”
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Qualitative Properties of the Solution of a Conjugate Problem of Thermal Convection by A. A. Azanov, E. N. Lemeshkova

“…Thus, the problem was reduced to a system of 10 nonlinear integro-differential equations. Its conjugate and inverse nature is determined by the four functions of time. …”
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Algorithm and Simulation of Association Rules of Drug Relationship Based on Network Model by Hui Teng, Yukun Ma, Di Teng

“…Network model is suitable for the study of the nonlinear relationship of the pharmaceutical relationship by modeling the data learning. …”
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Robust l2−l∞ Filtering for Takagi-Sugeno Fuzzy Systems with Norm-Bounded Uncertainties by Wenbai Li, Yu Xu, Huaizhong Li

“…As we know that the Takagi-Sugeno fuzzy linear systems can be used to represent smooth nonlinear systems, the studied plants can also be uncertain complex systems. …”
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Robust Decentralized Formation Tracking Control of Complex Multiagent Systems by Naveed Mazhar, Rameez Khan, Abid Raza, Fahad Mumtaz Malik, Raja Amer Azim, Hameed Ullah

“…The stability properties of the proposed framework are established through the Lyapunov method which not only ensures the finite-time formation tracking of nonlinear multiagent systems under directed communication but also guarantees that for all time the agents remain inside a closed boundary if they are initially inside it. …”
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Multiphasic allometry: the reality and significance of ontogenetic shifts in the body-mass scaling of metabolic rate by Douglas S. Glazier

“…Second, it is recommended that the existence of nonlinear (multiphasic or curvilinear) allometry should be tested by comparing linear versus curvilinear regression models or body-size scaling slopes (and their 95% confidence intervals) of different developmental stages, each analyzed with separate, statistically independent log–log regression lines. …”
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Small face detection based on improved YOLOv5s by ZHOU Lifang, HU Zhen, LIU Bo

“…Finally, EIoU was utilized as the loss function, which directly reduced the width and height discrepancies between predicted and actual bounding boxes, and FReLU was utilized as the activation function, which could enhance the nonlinear expressiveness of feature maps to improve the precision and stability of small face detection. …”
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Dynamic Response Analysis of an Asymmetric Coupled Vehicle-Track System Generated by Voided Elastic Two-Block Sleeper by Zhenxing He, Xinwen Yang

“…The pads under the rails and the rubber boots under the sleepers provide greater vertical and lateral elasticity for the track. The Hertz nonlinear elastic contact theory is used to calculate the normal wheel/rail force. …”
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Gear Defect Modeling of a Multiple-Stage Gear Train by Andrew Sommer, Jim Meagher, Xi Wu

“…This study demonstrates the transient and steady state dynamic loading on teeth within a two-stage gear transmission arising from backlash and geometric manufacturing errors by utilizing a nonlinear multibody dynamics software model. Backlash between gear teeth which is essential to provide better lubrication on tooth surfaces and to eliminate interference is included as a defect and a necessary part of transmission design. …”
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Thermodynamic Phase Transition of Generalized Ayon-Beato Garcia Black Holes by Elham Ghasemi, Hossein Ghaffarnejad

“…In this work, we study thermodynamics of generalized Ayon-Beato and Garcia (ABG) black hole metric which contains three parameters named as mass m, magnetic charge q, and dimensionless coupling constant of nonlinear electrodynamics interacting field γ. We showed that central regions of this black hole behaves as dS (AdS) vacuum space by setting q<2mq>2m and in the case q=2m reaches to a flat Minkowski space. …”
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A New 6D Two-wing Hyperchaotic System: Dynamical Analysis, Circuit Design, and Sinchronization by Michael Kopp, Inna Samuilik

“…These terms comprise two cross-product nonlinearities, two piecewise linear functions, six linear terms, and one constant. …”
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