Characterization of 2D precision and accuracy for combined visual-haptic localization by Madeline Fischer, Umberto Saetti, Martine Godfroy-Cooper, Douglas Fischer

“…This article describes a combined visual and haptic localization experiment that addresses the area of multimodal cueing. …”
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Synthesis of Four-Link Initial Kinematic Chains with Spherical Pairs for Spatial Mechanisms by Samal Abdreshova, Algazy Zhauyt, Kuanysh Alipbayev, Serikbay Kosbolov, Alisher Aden, Aray Orazaliyeva

“…By formulating the synthesis problem in terms of nonlinear algebraic equations derived from the spatial positions and orientations of the links, we analyze the conditions under which a valid solution exists. …”
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Contextual Nonlinear Typological Analysis as a Tool for the Formation and Implementation of Regional Economic Policy by V. A. Kurzenev, V. T. Perekrest

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Artificial Neural Network Approach to Study Imprecisely Defined Nonlinear Systems With Case Studies by Lakshmi Durga Pathipati, Sukanta Nayak

“…This paper introduces an alternative method for analysing mathematical models by combining an artificial neural network (ANN) with a modified Levenberg-Marquardt (LM) optimization approach to solve fuzzy systems of nonlinear equations. The proposed method transforms fuzzy equations into an unconstrained optimization problem by employing triangular fuzzy numbers (TFNs) and utilizing a membership value to map fuzzy constraints into crisp values. …”
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Comparing Linear and Nonlinear Models for Load Profile Data Using ANOVA, AIC, and BIC by Ilir Keka, Betim Çiço

“…This study aims to compare linear and nonlinear models for analyzing electric data, addressing the research gap in identifying the most effective modeling approach. …”
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Nonlinear oscillations of a lumped system with series spring, piezoelectric device, and feedback controller by M. K. Abohamer, T. S. Amer, A. A. Galal, Mona A. Darweesh, A. Arab, Taher A. Bahnasy

“…Abstract This paper examines the behavior of a mechanical system with a lumped- mass comprising two nonlinear springs arranged in series and combined with a piezoelectric device. …”
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Exploring dynamical features like bifurcation assessment, sensitivity visualization, and solitary wave solutions of the integrable Akbota equation by Chou Dean, Sagher Azad Ali, Asjad Muhammad Imran, Hamed Yasser Salah

“…The aim of this study is to enhance the understanding of complex nonlinear dynamics and their relevance in curve and surface geometry.…”
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Enhancing Malware Detection via RGB Assembly Visualization and Hybrid Deep Learning Models by Esra Eroğlu Demirkan, Murat Aydos

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Enhancing visual perception by modulating prestimulus alpha and beta power with tRNS by Jinwen Wei, Huiru Zou, Qianyuan Tang, Ziqing Yao, Gan Huang, Zhen Liang, Li Zhang, Lijie Ren, Xiaodong Cai, Chen Yao, Changsong Zhou, Zhiguo Zhang

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Medical Image Fusion Algorithm Based on Nonlinear Approximation of Contourlet Transform and Regional Features by Hui Huang, Xi’an Feng, Jionghui Jiang

“…According to the pros and cons of contourlet transform and multimodality medical imaging, here we propose a novel image fusion algorithm that combines nonlinear approximation of contourlet transform with image regional features. …”
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Solving the Nonlinear Charged Particle Oscillation Equation Using the Laplace–Adomian Decomposition Method by Omar Alomari, Bashar F. Garalleh, Emad K. Jaradat, Behzad Omidi Koma

“…This manuscript presents a comprehensive exploration of the nonlinear charged particle oscillation equation, employing the Laplace–Adomian decomposition method (LDM) to obtain approximate analytical solutions. …”
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Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity by Adil Jhangeer, Abdallah M. Talafha, Ariana Abdul Rahimzai, Lubomír Říha

“…Abstract In this research, a systematic approach is employed to derive novel wave solutions for the coupled nonlinear Schrödinger equation. The transformation of the coupled partial differential equation into ordinary differential equation is achieved by utilizing a complex wave variable. …”
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Multi-soliton and rogue wave solutions and their interaction: Insights into nonlinear dynamics in integrable systems by A.K.M. Kazi Sazzad Hossain, M. Ali Akbar

“…We uncover novel interaction solutions between rogue waves and multi-solitons, revealing intricate wave behaviors that advance the understanding of real-world nonlinear phenomena. Furthermore, we explore the influence of free parameters on two- and three-soliton solutions through detailed 2D and 3D visualizations, providing a comprehensive perspective on their structural properties and interactions. …”
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Nonlinear multi-head cross-attention network and programmable gradient information for gaze estimation by Yujie Li, Yuhang Hong, Ziwen Wang, Jiahui Chen, Rongjie Liu, Shuxue Ding, Benying Tan

“…An auxiliary branch is incorporated to integrate the gradient information, thereby retaining more original information than CNNs. In addition, nonlinear multi-head cross-attention is employed to fuse the global visual and multiscale hybrid features for more accurate gaze estimation. …”
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On the solution of intuitionistic fuzzy nonlinear Fredholm integral equation using direct computational method by Zain Khan, Saleem Abdullah, Ariana Abdul Rahimzai, Saifullah Khan

“…This set of four equations is then named the intuitionistic fuzzy nonlinear Fredholm integral equation. For an exact solution to the intuitionistic fuzzy nonlinear Fredholm integral equation, we use the Direct Computational Method. …”
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Impact of Brownian motion on the optical soliton solutions for the three component nonlinear Schrödinger equation by Muhammad Zafarullah Baber, Tahir Shahzad, Wael W. Mohammed, Nauman Ahmed, Baboucarr Ceesay, Muhammad Waqas Yasin

“…Abstract In this manuscript, the three-component nonlinear stochastic Schrö dinger equation under the effects of Brownian motion in the Stratonovich sense is examined here. …”
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Comprehensive study of stochastic soliton solutions in nonlinear models with application to the Davey Stewartson equations by Yasir A. Madani, Shabbir Hussain, Mohammed A. Almalahi, Blgys Muflh, Khaled A. Aldwoah, Mukhtar Y. Y. Abdalla

“…These equations are of significant importance because they extend the nonlinear Schrödinger equation into higher dimensions, serving as fundamental models for nonlinear phenomena in plasma physics, nonlinear optics, and hydrodynamics. …”
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Advancing Spike Sorting Through Gradient‐Based Preprocessing and Nonlinear Reduction With Agglomerative Clustering by Mohammad Amin Lotfi, Fatemeh Zareayan Jahromy, Mohammad Reza Daliri

“…In this proposed method, a mathematical technique for data preprocessing is introduced, and nonlinear transformations are incorporated to optimally extract features from spike waveforms. …”
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Schur Complement Optimized Iterative EKF for Visual–Inertial Odometry in Autonomous Vehicles by Guo Ma, Cong Li, Hui Jing, Bing Kuang, Ming Li, Xiang Wang, Guangyu Jia

“…Accuracy and nonlinear processing capabilities are critical to the positioning and navigation of autonomous vehicles in visual–inertial odometry (VIO). …”
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Visual-inertial navigation assisted by a single UWB anchor with an unknown position by Haolong Luo, Danping Zou, Jiansheng Li, Ancheng Wang, Li Wang, Zidi Yang, Guangyun Li

“…However, inaccurate estimation of UWB anchor positions and improper sensor weighting among heterogeneous sensors significantly impairs the positioning accuracy and robustness of Visual-Inertial-UWB (VIU) systems. To accurately and rapidly estimate the UWB anchor positions, we employed the robust ridge nonlinear least-squares method to improve the accuracy and reliability of the estimated UWB anchor position. …”
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