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  • Feature Paper
  • Article
  • Open Access
2 Citations
1,911 Views
13 Pages

14 October 2024

In this paper, we study the initial boundary value problem for wave equations with combined logarithmic and power-type nonlinearities. For arbitrary initial energy, we prove a necessary and sufficient condition for blow up at infinity of the global w...

(This article belongs to the Special Issue Advances in Nonlinear Analysis and Boundary Value Problems)
  • Feature Paper
  • Article
  • Open Access
1 Citations
3,386 Views
17 Pages

20 January 2025

In this paper, we investigate the global behavior of the weak solutions to the initial boundary value problem for the nonlinear wave equation in a bounded domain. The nonlinearity includes a logarithmic term and several power-type terms with nonnegat...

  • Article
  • Open Access
542 Views
27 Pages

In this paper, we investigate the multiplicity and concentration of normalized solutions to a fractional Kirchhoff–Schrödinger problem with logarithmic nonlinearity. By combining the Pohozaev identity, the penalization technique, and the c...

(This article belongs to the Special Issue Calculus of Variations, Fractional Calculus and Their Applications)
  • Article
  • Open Access
32 Citations
2,831 Views
17 Pages

30 July 2020

A delayed perturbation of the Mittag-Leffler type matrix function with logarithm is proposed. This combines the classic Mittag–Leffler type matrix function with a logarithm and delayed Mittag–Leffler type matrix function. With the help of...

(This article belongs to the Special Issue Advances in Differential and Difference Equations with Applications 2023)
  • Feature Paper
  • Article
  • Open Access
4 Citations
2,045 Views
11 Pages

1 March 2025

We re-examine the mathematical properties of the kink and antikink soliton solutions to the Logarithmic Schrödinger Equation (LogSE), a nonlinear logarithmic version of the Schrödinger Equation incorporating Everett–Hirschman entropy....

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
691 Views
29 Pages

16 January 2026

In this contribution, we propose and study long-time behaviors of a new class of N-dimensional delayed Kirchhoff–Carrier-type problems with variable transfer coefficients involving a logarithmic nonlinearity. We take into account the dependence...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
11 Citations
7,751 Views
14 Pages

15 December 2014

In this paper, a novel analog gamma correction scheme with a logarithmic image sensor dedicated to minimize the quantization noise of the high dynamic applications is presented. The proposed implementation exploits a non-linear voltage-controlled-osc...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
3 Citations
1,506 Views
14 Pages

26 August 2024

Quantum entanglement is essential in performing many quantum information tasks. Here, we theoretically investigate the stationary entanglement between a Laguerre–Gaussian (LG) cavity field and a rotating end mirror in an LG-cavity optorotationa...

  • Article
  • Open Access
6 Citations
2,059 Views
14 Pages

Comparison of Parameter Estimation Methods Based on Two Additive Biomass Models with Small Samples

  • Nina Xiong,
  • Yue Qiao,
  • Huiru Ren,
  • Li Zhang,
  • Rihui Chen and
  • Jia Wang

16 August 2023

Accurately estimating tree biomass is crucial for monitoring and managing forest resources, and understanding regional climate change and material cycles. The additive model system has proven reliable for biomass estimation in Chinese forestry since...

(This article belongs to the Section Forest Inventory, Modeling and Remote Sensing)
  • Article
  • Open Access
2,267 Views
22 Pages

18 September 2023

In this work, one improved symmetric time-variant logarithmic barrier, Lyapunov function (BLF), is developed for the first time to handle the state constraint problem of nonlinear systems. It is universal in the sense that the improved barrier functi...

(This article belongs to the Special Issue Adaptive Control: Design and Analysis)
  • Article
  • Open Access
14 Citations
7,502 Views
22 Pages

This paper examines the volatility risk in the KSA stock market (Tadawul), with a specific focus on predicting volatility using the logarithm of the standard deviation of stock market prices (LSCP) as the output variable. To enhance volatility predic...

(This article belongs to the Section Business and Entrepreneurship)
  • Article
  • Open Access
539 Views
27 Pages

Modeling Long-Term Postseismic Deformation Following the 2020 Mw 7.0 Samos Earthquake Using Campaign and Continuous GNSS Observations

  • Halil İbrahim Solak,
  • İbrahim Tiryakioğlu,
  • Cemil Gezgin,
  • Kayhan Aladoğan,
  • Sefa Yalvaç,
  • Bahadır Aktuğ,
  • Cemal Özer Yiğit,
  • Ergin Dönmez,
  • Ertuğrul Demirelli and
  • Vahap Engin Gülal
  • + 4 authors

3 September 2026

Postseismic deformation provides fundamental insights into earthquake-cycle processes, lithospheric rheology, and stress redistribution following large earthquakes. Although the 2020 Mw 7.0 Samos earthquake has been extensively investigated in terms...

(This article belongs to the Topic Advanced GNSS and InSAR Technologies for Geoscience Applications)
  • Article
  • Open Access
7 Citations
2,929 Views
15 Pages

A Method for Parameter Identification of Composite Beam Piezoelectric Energy Harvester

  • Xuhui Zhang,
  • Chao Zhang,
  • Lin Wang,
  • Luyang Chen,
  • Xiaoyu Chen,
  • Dongmei Xu,
  • Hongwei Fan and
  • Fulin Zhu

29 October 2021

This paper proposes a parameter identification method for the multiparameter identification study of the linear–arch composite beam piezoelectric energy harvester. According to the voltage response characteristics of the system under short-circuit co...

(This article belongs to the Special Issue Energy Harvesting Technologies and Applications for the Internet of Things and Wireless Sensor Networks)
  • Article
  • Open Access
2 Citations
572 Views
16 Pages

28 April 2026

This article examines the integrability of the combined KdV-mKdV equation, which provides an effective framework for modeling coherent structures in turbulent flows. We generate the explicit Darboux solutions for the combined KdV-mKdV equation using...

(This article belongs to the Special Issue Mathematical and Numerical Analysis of Nonlinear Evolution Equations: Advances and Perspectives, 2nd Edition)
  • Article
  • Open Access
25 Citations
2,416 Views
13 Pages

Advanced Methods for Conformable Time-Fractional Differential Equations: Logarithmic Non-Polynomial Splines

  • Majeed A. Yousif,
  • Ravi P. Agarwal,
  • Pshtiwan Othman Mohammed,
  • Alina Alb Lupas,
  • Rashid Jan and
  • Nejmeddine Chorfi

13 August 2024

In this study, we present a numerical method named the logarithmic non-polynomial spline method. This method combines conformable derivative, finite difference, and non-polynomial spline techniques to solve the nonlinear inhomogeneous time-fractional...

(This article belongs to the Special Issue Recent Developments in Stability and Control of Dynamical Systems)
  • Article
  • Open Access
3,573 Views
15 Pages

A Method for Estimating Tree Age Based on the Tree Trunk Diameter and the Average Radial Growth Rate in Recent Years

  • Jianfeng Yao,
  • Mengmeng Yang,
  • Zhuofan Li,
  • Denglong Ha,
  • Wenqiang Gao,
  • Xiao He,
  • Xuefan Hu and
  • Xinyu Song

13 November 2025

To improve the accuracy of tree age estimation by accounting for variations in radial growth, this study developed a diameter/age model that incorporates the radial growth rate for seven typical tree species across subtropical to cold temperate regio...

(This article belongs to the Section Forest Inventory, Modeling and Remote Sensing)
  • Article
  • Open Access
32 Citations
3,060 Views
17 Pages

26 August 2022

In this paper, the Hirota bilinear method, which is an important scheme, is used. The equation of the shallow water wave in oceanography and atmospheric science is extended to (3+1) dimensions, which is a well-known equation. A lot of classes of rati...

  • Article
  • Open Access
2,103 Views
15 Pages

Adaptive Event-Triggered Neural Network Fast Finite-Time Control for Uncertain Robotic Systems

  • Jianhui Wang,
  • Yongping Du,
  • Yuanqing Zhang,
  • Yixiang Gu and
  • Kairui Chen

1 December 2023

A fast convergence adaptive neural network event-triggered control strategy is proposed for the trajectory tracking issue of uncertain robotic systems with output constraints. To cope with the constraints on the system output in the actual industrial...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
1 Citations
1,924 Views
15 Pages

7 December 2024

This paper proposes an adaptive filtering algorithm based on the symmetry Kernel Hyperbolic Tangent Mixed Error Criterion (KHTMC), aimed at addressing the identification of nonlinear systems under non-Gaussian noise environments. The algorithm optimi...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
62 Citations
6,788 Views
19 Pages

Forecasting Day-Ahead Brent Crude Oil Prices Using Hybrid Combinations of Time Series Models

  • Hasnain Iftikhar,
  • Aimel Zafar,
  • Josue E. Turpo-Chaparro,
  • Paulo Canas Rodrigues and
  • Javier Linkolk López-Gonzales

16 August 2023

Crude oil price forecasting is an important research area in the international bulk commodity market. However, as risk factors diversify, price movements exhibit more complex nonlinear behavior. Hence, this study provides a comprehensive analysis of...

(This article belongs to the Special Issue Time Series Analysis)
  • Article
  • Open Access
10 Citations
9,290 Views
15 Pages

A Risk Profile for Information Fusion Algorithms

  • Kenric P. Nelson,
  • Brian J. Scannell and
  • Herbert Landau

17 August 2011

E.T. Jaynes, originator of the maximum entropy interpretation of statistical mechanics, emphasized that there is an inevitable trade-off between the conflicting requirements of robustness and accuracy for any inferencing algorithm. This is because ro...

(This article belongs to the Special Issue Tsallis Entropy)
  • Article
  • Open Access
1 Citations
2,234 Views
18 Pages

31 October 2024

This study used hyperspectral remote sensing to rapidly, economically, and non-destructively determine the soil iron oxide content of the Dinosaur Valley annular tectonic region of Lufeng, Yunnan Province. The laboratory determined the iron oxide con...

(This article belongs to the Section Remote Sensors)
  • Article
  • Open Access
3 Citations
2,181 Views
13 Pages

31 December 2023

It is a critical issue to allocate redundancy to critical smart grid infrastructure for disaster recovery planning. In this study, a framework to combine statistical prediction methods and optimization models for the optimal redundancy allocation pro...

(This article belongs to the Special Issue Smart Energy Systems: Learning Methods for Control and Optimization)
  • Feature Paper
  • Article
  • Open Access
7 Citations
2,642 Views
20 Pages

6 September 2023

We present an integrated method for mapping the basement structures of sedimentary basins by combining surface gravity data, seismic imaging, and borehole logging information. The core of the method is a nonlinear inversion algorithm for constructing...

(This article belongs to the Special Issue Applied Geophysics in Hydrocarbon Exploration, Energy Storage and CCUS)
  • Article
  • Open Access
1 Citations
386 Views
42 Pages

A Nonlinear-Trend Regression Kriging Framework for Sparse Time-Series Prediction: Application to Landslide Displacement Monitoring

  • Wan-Bing Xu,
  • Yan Ma,
  • Lei Huang,
  • Yi-Ling Lin,
  • Xiang-Yang Wang,
  • Hao-Jia Gao and
  • Ya-Dong Huang

17 July 2026

Although advanced machine-learning and deep-learning models have greatly expanded the toolbox for time-series prediction, their performance usually depends on sufficient training data. In engineering monitoring, however, only sparse observations are...

(This article belongs to the Special Issue Advances in Time Series Analysis and Forecasting with Applications in Disaster and Climate Risk Management)
  • Article
  • Open Access
3 Citations
1,511 Views
21 Pages

News recommendation systems must simultaneously address multiple challenges, including dynamic user interest modeling, nonlinear popularity patterns, and diversity recommendation in cold-start scenarios. We present a Popularity-Aware Dynamic Multi-Pe...

(This article belongs to the Special Issue Data-Driven Intelligence in Autonomous Systems)
  • Article
  • Open Access
652 Views
19 Pages

9 June 2026

Advancement toward the Essential Science Indicators (ESI) Top 1‰ is an important indicator of disciplinary competitiveness, but progress near this boundary is often nonlinear because the global threshold continues to move upward. This study de...

(This article belongs to the Special Issue Information-Theoretic Methods in Data Analytics, 2nd Edition)
  • Article
  • Open Access
4 Citations
2,701 Views
28 Pages

19 December 2023

In this paper, we studied a class of semilinear pseudo-parabolic equations of the Kirchhoff type involving the fractional Laplacian with logarithmic nonlinearity: ut+M([u]s2)(−Δ)su+(−Δ)sut=|u|p−2uln|u|,in Ω&ti...

(This article belongs to the Special Issue Advances in Differential and Difference Equations and Their Applications)
  • Article
  • Open Access
229 Views
25 Pages

3 August 2026

This paper applies established saddlepoint approximation techniques to nonlinear statistics arising from inverse Gaussian models. In particular, we consider the product of independent inverse Gaussian random variables and the ratio of weighted linear...

(This article belongs to the Special Issue Recent Developments in Statistical Research)
  • Article
  • Open Access
1 Citations
868 Views
15 Pages

Semi-Empirical Estimation of Aerosol Particle Influence at the Performance of Terrestrial FSO Links over the Sea

  • Argyris N. Stassinakis,
  • Efstratios V. Chatzikontis,
  • Kyle R. Drexler,
  • Andreas D. Tsigopoulos,
  • Gratchia Mkrttchian and
  • Hector E. Nistazakis

Free-space optical (FSO) communication enables high-bandwidth license-free data transmission and is particularly attractive for maritime point-to-point links. However, FSO performance is strongly affected by atmospheric conditions. This work presents...

(This article belongs to the Section Computational Engineering)
  • Article
  • Open Access
407 Views
24 Pages

This paper investigates the problem of adaptive event-triggered control with prescribed performance for a class of strictly feedback-controlled nonlinear systems with unknown initial tracking conditions. To overcome the dependence of traditional pres...

  • Article
  • Open Access
20 Citations
6,072 Views
17 Pages

Mathematical Model for Scaling up Bioprocesses Using Experiment Design Combined with Buckingham Pi Theorem

  • Leidy Rendón-Castrillón,
  • Margarita Ramírez-Carmona,
  • Carlos Ocampo-López and
  • Luis Gómez-Arroyave

30 November 2021

Scaling up bioprocesses from the experimental to the pilot or industrial scale involves heuristics and scale relationships that are far from the specific phenomena and are usually not connected to the experimental data. In complex systems, the scalin...

(This article belongs to the Topic Bioreactors: Control, Optimization and Applications)
  • Article
  • Open Access
3 Citations
2,427 Views
15 Pages

Modeling of a Process Window for Tailored Reinforcements in Overmolding Processes

  • Philipp K. W. Picard,
  • Tim A. Osswald,
  • Swen Zaremba and
  • Klaus Drechsler

8 February 2024

This study explores cost-effective and customized composite applications by strategically placing carbon fiber-reinforced thermoplastics in multi-material designs. The focus is on developing a model for the simultaneous processing of non-reinforced a...

(This article belongs to the Topic Advanced Composites Manufacturing and Plastics Processing)
  • Article
  • Open Access
3 Citations
2,550 Views
22 Pages

10 December 2022

Designing an efficient decoder is an effective way to improve the performance of polar codes with limited code length. List flip decoders have received attention due to their good performance trade-off between list decoders and flip decoders. In part...

(This article belongs to the Special Issue Advances in Information and Coding Theory)
  • Article
  • Open Access
20 Citations
6,414 Views
26 Pages

20 August 2018

Direct Position Estimation (DPE) is a rather new Global Navigation Satellite System (GNSS) technique to estimate the user position, velocity and time (PVT) directly from correlation values of the received GNSS signal with receiver internal replica si...

(This article belongs to the Special Issue GNSS and Fusion with Other Sensors)
  • Article
  • Open Access
25 Citations
4,673 Views
13 Pages

Space Syntax in Analysing Bicycle Commuting Routes in Inner Metropolitan Adelaide

  • Ali Soltani,
  • Andrew Allan,
  • Masoud Javadpoor and
  • Jaswanth Lella

16 March 2022

Cycling is a particularly favoured for short urban trips because it is a healthy and environmentally benign activity. As a result, urban mobility, quality of life, and public health are enhanced, while traffic congestion and pollution are decreased....

(This article belongs to the Section Sustainable Transportation)
  • Article
  • Open Access
3 Citations
2,692 Views
19 Pages

Toward Optimal Fitting Parameters for Multi-Exponential DWI Image Analysis of the Human Kidney: A Simulation Study Comparing Different Fitting Algorithms

  • Jonas Jasse,
  • Hans-Joerg Wittsack,
  • Thomas Andreas Thiel,
  • Romans Zukovs,
  • Birte Valentin,
  • Gerald Antoch and
  • Alexandra Ljimani

18 February 2024

In DWI, multi-exponential signal analysis can be used to determine signal underlying diffusion components. However, the approach is very complex due to the inherent low SNR, the limited number of signal decay data points, and the absence of appropria...

(This article belongs to the Special Issue Mathematical Modeling and Data Science for Biology and Medicine)
  • Article
  • Open Access
470 Views
30 Pages

Sensor Fault Estimation via Polynomial Observers for T–S Fuzzy Caputo–Hadamard Fractional-Order Systems with Monotone Nonlinearities

  • Slim Dhahri,
  • Sahar Almashaan,
  • Hatem Alwardi,
  • Sultan M. Alzahrani and
  • Abdellatif Ben Makhlouf

In this paper, the issue of robust sensor fault estimation for Takagi–Sugeno (T–S) fuzzy systems with Caputo–Hadamard fractional-order dynamics subject to monotone nonlinearities is addressed. An adaptive observer is designed for th...

(This article belongs to the Special Issue Advances in Fractional-Order Control for Nonlinear Systems)
  • Article
  • Open Access
739 Views
22 Pages

A Borehole–Geophysical Data Fusion Method for Stratigraphic Modeling and Its Applications to Landslide Stability: A Case Study

  • Jing Zhang,
  • Yang Cheng,
  • Liang Wang,
  • Helong Liu,
  • Jiajia Zhu,
  • Zhengwei Li and
  • Tianzheng Li

Accurate characterization of subsurface stratigraphy is essential for reliable landslide stability assessment. However, stratigraphic models constructed solely from sparse borehole data are often constrained by incomplete spatial coverage and substan...

  • Article
  • Open Access
346 Views
73 Pages

2 September 2026

Generalized Lotka–Volterra (GLV) systems, with roots in ecology, constitute one of the most studied classes of positive ODEs. Recently, a reaction-network perspective for a generalization useful in mathematical epidemiology, called block GLV sy...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
6 Citations
986 Views
16 Pages

25 September 2025

The cooling effect of urban forests has been widely investigated to support climate-adaptive spatial planning. However, studies on the impacts of key landscape drivers have often produced conflicting results, limiting their practical applicability. T...

(This article belongs to the Section Urban Forestry)
  • Article
  • Open Access
1 Citations
557 Views
40 Pages

6 February 2026

To address the data quality challenges in ship maintenance data, such as high missing rates, anomalous noise, and multi-source heterogeneity, this paper proposes a data quality enhancement method based on a multi-strategy enhanced Harris Hawks Optimi...

(This article belongs to the Special Issue Symmetry/Asymmetry in Optimization Algorithms and Systems Control)
  • Article
  • Open Access
19 Citations
6,438 Views
17 Pages

Comparing Empirical and Semi-Empirical Approaches to Forest Biomass Modelling in Different Biomes Using Airborne Laser Scanner Data

  • Endre H. Hansen,
  • Liviu T. Ene,
  • Ernest W. Mauya,
  • Zdeněk Patočka,
  • Tomáš Mikita,
  • Terje Gobakken and
  • Erik Næsset

16 May 2017

Airborne laser scanner (ALS) data are used operationally to support field inventories and enhance the accuracy of forest biomass estimates. Modelling the relationship between ALS and field data is a fundamental step of such applications and the quali...

(This article belongs to the Special Issue Optimizing Forest Inventories with Remote Sensing Techniques)
  • Article
  • Open Access
10 Citations
4,192 Views
21 Pages

Refined Analysis of RADARSAT-2 Measurements to Discriminate Two Petrogenic Oil-Slick Categories: Seeps versus Spills

  • Gustavo de Araújo Carvalho,
  • Peter J. Minnett,
  • Eduardo Tavares Paes,
  • Fernando Pellon De Miranda and
  • Luiz Landau

11 December 2018

Our research focuses on refining the ability to discriminate two petrogenic oil-slick categories: the sea surface expression of naturally-occurring oil seeps and man-made oil spills. For that, a long-term RADARSAT-2 dataset (244 scenes imaged between...

(This article belongs to the Special Issue Marine Oil Spills 2018)
  • Article
  • Open Access
16 Citations
10,793 Views
13 Pages

16 March 2019

The aim of this study is to design and test a new, simple, and reusable linear variable differential transformer (LVDT)-based in situ bolt preload monitoring system (L-PMS) during fastening of a truck wheel assembly. Instead of measuring the elongati...

  • Article
  • Open Access
355 Views
32 Pages

29 June 2026

Feature selection (FS) is a pivotal preprocessing task in data mining aimed at identifying optimal feature subsets to improve model generalization and reduce computational overhead. However, its NP-hard nature poses significant challenges for traditi...

  • Proceeding Paper
  • Open Access
228 Views
14 Pages

Comparative Study of Regression Models Using Machine Learning to Predict Real Stock Prices

  • Assel Mukasheva,
  • Almas Saduakas,
  • Dinargul Mukhammejanova,
  • Anel Aidos and
  • Kulzhan Togzhanova

20 September 2026

Sale price prediction is an important task for breeders, sellers, buyers, and online equine marketplace platforms, as horse value is influenced by a combination of animal-specific and market-related characteristics. Unlike standardized agricultural c...

(This article belongs to the Proceedings of The International Conference on Electronics, Engineering Physics and Earth Science (EEPES2026))
  • Article
  • Open Access
2 Citations
1,357 Views
22 Pages

Predicting core loss under high-frequency non-sinusoidal excitation is crucial for power electronics equipment design. Temperature significantly affects core loss, and traditional core loss prediction models typically incorporate temperature correcti...

  • Article
  • Open Access
4 Citations
2,907 Views
15 Pages

15 March 2022

In quantum and quantum-inspired machine learning, a key step is to embed the data in the quantum space known as Hilbert space. Studying quantum kernel function, which defines the distances among the samples in the Hilbert space, belongs to the fundam...

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
21 Citations
4,540 Views
21 Pages

23 July 2023

Assessing the resilience of urban drainage systems requires the consideration of future disturbances that will disrupt the system’s performance and trigger urban flooding failures. However, most existing resilience assessments of urban drainage...

(This article belongs to the Special Issue Urban Stormwater Control, Utilization, and Treatment)

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