Reinforcement Learning-Based Adaptive Control of a Piezo-Driven Nanopositioning System by Liheng Chen, Qingsong Xu

“…In this design, an actor-critic structure is developed to eliminate the effects of uncertain nonlinearities and cross-coupling motion between the two working axes. …”
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Direction of Arrival Estimation Accuracy Enhancement via Using Displacement Invariance Technique by Youssef Fayad, Caiyun Wang, Qunsheng Cao, Alaa El-Din Sayed Hafez

“…It is worth mentioning that the subspace approach has been employed into ESPRIT and DIT methods to reduce the computational complexity and the model’s nonlinearity effect. The DOAE accuracy has been verified by closed-form Cramér-Rao bound (CRB). …”
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On a Fourth-Order Boundary Value Problem at Resonance by Man Xu, Ruyun Ma

“…As for the application of the spectrum structure, we show the existence of solutions of the fourth-order boundary value problem at resonance -u4x+λ1ux+gx,ux=hx,  x∈0,1;  u0=u1=u′0=u′1=0, which models a statically elastic beam with both end-points being cantilevered or fixed, where λ1 is the first eigenvalue of the corresponding eigenvalue problem and nonlinearity g may be unbounded.…”
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Existence and Uniqueness of Solutions for Fractional Boundary Value Problems under Mild Lipschitz Condition by Imed Bachar, Habib Mâagli, Hassan Eltayeb

“…This paper deals with the following boundary value problem Dαut=ft,ut,t∈0,1,u0=u1=Dα−3u0=u′1=0, where 3<α≤4,Dα is the Riemann-Liouville fractional derivative, and the nonlinearity f, which could be singular at both t=0 and t=1, is required to be continuous on 0,1×ℝ satisfying a mild Lipschitz assumption. …”
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Long period fiber gratings in anti-resonant hollow core fiber by Ligang Huang, Yanxiang Zhao, Yujia Li, Shunli Liu, Hailin Zhou, Lei Gao, Leilei Shi, Guiyao Zhou, Tao Zhu

“…Additionally, due to the characteristics of AR-HCFs, including low latency, low dispersion, low nonlinearity, and high damage threshold, this device also serves for long-distance fiber communication and high-power laser pulse shaping.…”
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Computational Study of Cold-Formed-Steel X-Braced Shear Walls by Metwally Abu-Hamd, Maheeb Abdel-Ghaffar, Basel El-Samman

“…The models account for different types of material and geometric nonlinearities. The screws that connect the cold-formed-steel (CFS) studs, tracks, gusset plates, and braces are considered explicitly in the model. …”
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Upper and Lower Solutions Method for a Class of Singular Fractional Boundary Value Problems with p-Laplacian Operator by Jinhua Wang, Hongjun Xiang

“…It is valuable to point out that the nonlinearity f can be singular at t=0,1 or u=0.…”
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SAFETY ASSESSMENT OF THE TANK WITH DIFFERENTIAL SETTLEMENT by LI ZhiHai, GAO HongLi, DENG FeiZhong

“…Then elastoplastic model is established to analyze the impact of material nonlinearity of pillar. Through finite element analysis and experimental testing,whether the tank can be used is evaluated. …”
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Design and Simulation Analysis of Flexible Joint SEA of Manipulator by Zhang Zijian Du Yunpeng Han Shaojie Shang Kai Zuo Kungang Dong Yangyang

“…However, SEA has the disadvantage of strong nonlinearity of force and deformation. In order to improve the linearity of SEA, a curved beam model with double-ring connection is established, and the stress formulas of different points of the beam model are got by using the normal stress formula of the origin of the axis section, so as to design and verify the series elastic actuator which conforms to the flexible joint. …”
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Dynamic Response of Doubly-Curved Shallow Shells to Periodic External Action by Alexey A. Semenov

“…A mathematical model is used based on the Timoshenko - Reissner hypotheses, taking into account transverse shears, geometric nonlinearity and rotational inertia. The calculation algorithm is based on the method of L.V. …”
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Elliptic equations in $ \mathbb{R}^2 $ involving supercritical exponential growth by Yony Raúl Santaria Leuyacc

“…In this work, we investigated the existence of nontrivial weak solutions for the equation \begin{document}$ -{\rm div}(w(x)\nabla u) \ = \ f(x,u),\qquad x \in \mathbb{R}^2, $\end{document} where $ w(x) $ is a positive radial weight, the nonlinearity $ f(x, s) $ possesses growth at infinity of the type $ {\rm \exp}\big((\alpha_0+h(|x|)\big)|s|^{2/(1-\beta)}) $, with $ \alpha_0 > 0 $, $ 0 < \beta < 1 $ and $ h $ is a continuous radial function that may be unbounded at infinity. …”
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Analysis of operational channel selection of dynamic spectrum sharing wireless communication system based on RF front-end by YOU Chang-jiang, ZHU Xiao-wei, LIU Jing, ZHANG Xiao-dong

“…Because of the existence of primary user signals and the inevitable nonlinearity of some RF devices,the inter-ference signals such as three-order intermodulation signal would be produced in the front-end of RF receiver.To reduce the impact of interference signals,the interference which was caused by primary user signals to dynamic spectrum shar-ing wireless communication system was analyzed on the front-end of RF receiver side.Then,the restriction on opera-tional channel selection of dynamic spectrum sharing wireless communication system was derived.By following the re-striction,the negative effects caused by interference signals could be reduced and the quality of communication in dy-namic spectrum sharing system was guaranteed.Finally,availability of the restriction on operational channel selection is verified experimentally in UHF dynamic spectrum sharing wireless communication system.…”
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Multi-State Reliability Analysis Based on General Wiener Degradation Process and Random Shock by Huibing Hao, Chunping Li

“…A multi-state reliability analysis model suffering from a dependent competing failure process is developed in this study, where the soft failure is described by general nonlinearity random effect. Wiener degradation process with measurement error and the hard failure is caused by random shock. …”
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Comprehensive Interpretation of a Three-Point Gauss Quadrature with Variable Sampling Points and Its Application to Integration for Discrete Data by Young-Doo Kwon, Soon-Bum Kwon, Bo-Kyung Shim, Hyun-Wook Kwon

“…By applying the quadratically extrapolated integrals and nonlinearity index, the accuracy of the integration could be increased significantly for evenly acquired data, which is popular with modern sophisticated digital data acquisition systems, without using higher-order extrapolation polynomials.…”
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Derivation of ODEs and Bifurcation Analysis of a Two-DOF Airfoil Subjected to Unsteady Incompressible Flow by H. Alighanbari, S. M. Hashemi

“…The differential equations are then used for the bifurcation analysis of an airfoil with a structural nonlinearity in the pitch direction. Sample bifurcation diagrams showing both stable and unstable limit cycle oscillation are presented. …”
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New Exact Solutions of Ion-Acoustic Wave Equations by (G′/G)-Expansion Method by Wafaa M. Taha, M. S. M. Noorani, I. Hashim

“…Many new exact traveling wave solutions of the Schamel equation, Schamel-KdV (S-KdV), and the two-dimensional modified KP (Kadomtsev-Petviashvili) equation with square root nonlinearity are constructed. The traveling wave solutions obtained via this method are expressed by hyperbolic functions, the trigonometric functions, and the rational functions. …”
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Performance and Implementation Evaluation of TR PAPR Reduction Methods for DVB-T2 by Mohamad Mroué, Amor Nafkha, Jacques Palicot, Benjamin Gavalda, Nelly Dagorne

“…This problem can result in large performance degradation due to the nonlinearity of the High Power Amplifier (HPA) or in its low power efficiency. …”
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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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A second-order resolvent formulation for the analysis of turbulent flow structures by Chevalier, Quentin, Lutz, Lesshafft, Cavalieri, André V. G.

“…Closure assumptions for unresolved nonlinearities are thus pushed back to a higher order. …”
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Structure Preserving Numerical Analysis of Reaction-Diffusion Models by Nauman Ahmed, Muhammad Aziz-ur Rehman, Waleed Adel, Fahd Jarad, Mubasher Ali, Muhammad Rafiq, Ali Akgül

“…These are the finite difference methods in splitting environment, namely, operator splitting nonstandard finite difference (OS-NSFD) methods that effectively deal with nonlinearity in the models and computationally efficient. …”
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