On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation by Chunyan Huang

“…The strategy is to develop uniform and dyadic exponential decay estimates for the generalized Ginzburg-Landau semigroup e-a+it-Δα to overcome the derivative in the nonlinear term.…”
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Solutions of Stiff Systems of Ordinary Differential Equations Using Residual Power Series Method by Mubashir Qayyum, Qursam Fatima

“…RPSM is applied to various linear and nonlinear stiff systems, and closed-form solutions are achieved. …”
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Infinitely Many Eigenfunctions for Polynomial Problems: Exact Results by Yi-Chou Chen

“…For any polynomial yx, we assume that T:Rx→Rx is a nonlinear operator with Tyx=Fx, yx. In this paper, we will find an eigenfunction yx∈Rx to satisfy the following equation: Fx, yx=ayx for some eigenvalue a∈R and we call the problem Fx, yx=ayx a fixed point like problem. …”
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Effect of Variation of Hard Segment Content and Graphene-Based Nanofiller Concentration on Morphological, Thermal, and Mechanical Properties of Polyurethane Nanocomposites by Michał Strankowski

“…Both applied nanofillers influenced melting and crystallization of the PU matrix. The nonlinear viscoelastic behavior of the nanocomposites (Payne effect) was studied, and the results were compared with theoretical predictions.…”
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Evaluation of Provincial Economic Resilience in China Based on the TOPSIS-XGBoost-SHAP Model by Zhan Wu

“…The aim of this research is to propose a framework for measuring and analysing China’s economic resilience based on the XGBoost machine learning algorithm, using Bayesian optimization (BO) algorithm, extreme gradient-boosting (XGBoost) algorithm, and TOPSIS method to measure China’s economic resilience from 2007 to 2021. The nonlinear effects of its key drivers are also analysed in conjunction with the SHAP explainable model to explore the path of China’s economic resilience enhancement. …”
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Symbolic dynamics, entropy and complexity of the feigenbaum map at the accumulation point by Werner Ebelings, Katja Rateitschak

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Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method by Amor Menaceur, Salah Mahmoud Boulaaras, Amar Makhlouf, Karthikeyan Rajagobal, Mohamed Abdalla

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Related Fixed Point Theorems via General Approach of Simulations Functions by Kastriot Zoto, Nabil Mlaiki, Hassen Aydi

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Mobile Robot Localization Based on Vision and Multisensor by Lina Yao, Fengzhe Li

“…To deal with the low accuracy of positioning for mobile robots when only using visual sensors and an IMU, a method based on tight coupling and nonlinear optimization is proposed to obtain a high-precision visual positioning scheme by combining measured value of the preintegrated inertial measurement unit (IMU) and values of the odometer and characteristic observations. …”
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Sandy Soil Liquefaction Prediction Based on Clustering-Binary Tree Neural Network Algorithm Model by Yu Wang, Jiachen Wang

“…The model can establish the nonlinear relationship between sand liquefaction and various influencing factors by learning limited samples. …”
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TRANSLATION EXPOSURE AND PERFORMANCE OF DEPOSIT MONEY BANKS: EVIDENCE FROM NIGERIA by Eunice Oluganna

“…This study used ex-post facto research design and utilised panel data using Nonlinear Auto Regressive Distributed Lag (NARDL) model covering a period of sixteen years (2004-2019). …”
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Autopilot Design Method for the Blended Missile Based on Model Predictive Control by Baoqing Yang, Yuyu Zhao

“…This paper develops a novel autopilot design method for blended missiles with aerodynamic control surfaces and lateral jets. Firstly, the nonlinear model of blended missiles is reduced into a piecewise affine (PWA) model according to the aerodynamics properties. …”
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An Adaptive Time-Stepping Algorithm for the Allen–Cahn Equation by Chaeyoung Lee, Jintae Park, Soobin Kwak, Sangkwon Kim, Yongho Choi, Seokjun Ham, Junseok Kim

“…The AC equation is a nonlinear partial differential equation, which was first proposed by Allen and Cahn for antiphase boundary motion and antiphase domain coarsening. …”
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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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Researches on Crack Propagation of the Two Filled Noncoalescent Coplanar Flaws under the High Strain Rate Loading by means of AUTODYN-Based Simulation by Guangming Zhao, Chongyan Liu, Cheng Pan, Xiangrui Meng

“…By turning to the Drucker-Prager strength model and cumulative damage criteria, investigations are made, with the nonlinear AUTODYN software, into crack propagation behaviors in crack-filled and unfilled specimens under uniaxial dynamic loading. …”
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Analysis of Heat Transfer in Berman Flow of Nanofluids with Navier Slip, Viscous Dissipation, and Convective Cooling by O. D. Makinde, S. Khamis, M. S. Tshehla, O. Franks

“…The governing partial differential equations and boundary conditions are converted into a set of nonlinear ordinary differential equations using appropriate similarity transformations. …”
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The Multiplex Dependency Structure of Financial Markets by Nicolò Musmeci, Vincenzo Nicosia, Tomaso Aste, Tiziana Di Matteo, Vito Latora

“…In particular, we consider multiplex networks made of four layers corresponding, respectively, to linear, nonlinear, tail, and partial correlations among a set of financial time series. …”
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Experimental Investigation of Water-Sand Mixed Fluid Initiation and Migration in Filling Fracture Network during Water Inrush by Bin Yang, Tianhong Yang

“…For water inrush induced by fracture network flow, the critical velocity of the incipient motion of sand particles was obtained, and the functional relation between critical velocity and particle size was established through a series of tests on the nonlinear flow characteristics of a filling fracture network. …”
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Multiscale Systemic Risk and Its Spillover Effects in the Cryptocurrency Market by Xu Zhang, Zhijing Ding

“…We adopt wavelet packet decomposition, nonlinear Granger causality test, risk spillover network, and STVAR model; retain the mature research of multiscale systemic risk based on time and frequency; and thus extend systemic risk to different regimes. …”
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Hamiltonian Dynamics and Adiabatic Invariants for Time-Dependent Superconducting Qubit-Oscillators and Resonators in Quantum Computing Systems by Jeong Ryeol Choi

“…Based on the results of our developments in this paper, perturbation theory is applicable to the research of quantum characteristics of more complicated qubit systems that are described by a time-dependent Hamiltonian involving nonlinear terms.…”
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