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Keywords = planar dynamical system

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22 pages, 2537 KB  
Article
Dynamic Wireless Power Transfer for Electric Vehicle Charging Applications: A Comparative Study of SS and LCC Compensation Topologies
by Cristian Giovanni Colombo, Gabriele Bassignani and Michela Longo
Energies 2026, 19(13), 2971; https://doi.org/10.3390/en19132971 (registering DOI) - 24 Jun 2026
Abstract
Dynamic Wireless Power Transfer (DWPT) is attracting increasing interest as a promising solution to extend the operating range of battery electric vehicles while reducing stationary charging needs. In this study, a DWPT system for Electric Vehicle charging is investigated through a comparative simulation-based [...] Read more.
Dynamic Wireless Power Transfer (DWPT) is attracting increasing interest as a promising solution to extend the operating range of battery electric vehicles while reducing stationary charging needs. In this study, a DWPT system for Electric Vehicle charging is investigated through a comparative simulation-based case study focused on the Italian A4 highway, a strategic transport corridor characterized by high traffic intensity and long-distance mobility demand. The proposed system is based on a segmented magnetic coupling architecture with planar circular coils installed along the roadway and a vehicle-side pickup coil. Under common roadway, vehicle, and magnetic coupling assumptions, a benchmark Tesla Model 3 Long Range traveling at a constant speed of 90 km/h and characterized by an estimated energy consumption of 0.129 kWh/km is considered. Two compensation solutions are comparatively assessed, namely the Series–Series (SS) topology and the Inductor-Capacitor-Capacitor (LCC) topology. The methodology evaluates the two topologies under the same benchmark conditions in terms of peak power, average transferred power, transferred energy per kilometer, and effect on vehicle State Of Charge (SOC). The SS topology provides a peak power of 22.52 kW, an average power of 12.30 kW, and an energy transfer of 0.14 kWh/km, whereas the LCC topology reaches a peak power of 20.44 kW, an average power of 13.47 kW, and an energy transfer of 0.15 kWh/km. Starting from an initial SOC of 30%, the final SOC after traveling through the usable electrified highway section reaches 37.48% with SS compensation and 44.28% with LCC compensation. The results show that both topologies enable effective dynamic charging, with the LCC solution exhibiting better energy transfer capability and higher operational stability, while the SS topology delivers higher instantaneous power peaks. From a comparative simulation perspective, the study supports the technical feasibility of DWPT deployment in highway environments and provides useful design insights for selecting compensation topologies in dynamic electric vehicle charging applications. Full article
19 pages, 2912 KB  
Article
Oxygen Dynamics in the Rhizosphere of Vallisneria spiralis Characterized by a Fluorescent Planar Optode
by Jingwei Tan, Zhihao Wu, Xiaosong Yang, Weidong Jin, Yiming Zhao and Qing Cai
Plants 2026, 15(13), 1935; https://doi.org/10.3390/plants15131935 (registering DOI) - 23 Jun 2026
Abstract
Oxygen (O2) leakage in macrophyte rhizospheres is an adaptive strategy for hypoxic environments, which is important in lake ecological restoration. In this investigation, the fluorescent planar optode (PO) technique is used for two-dimensional (2D) distribution of dissolved O2 at a [...] Read more.
Oxygen (O2) leakage in macrophyte rhizospheres is an adaptive strategy for hypoxic environments, which is important in lake ecological restoration. In this investigation, the fluorescent planar optode (PO) technique is used for two-dimensional (2D) distribution of dissolved O2 at a submillimeter scale in the rhizosphere of Vallisneria spiralis under various environmental conditions. The spatial heterogeneity in the distribution of oxic microniches is frequently verified in the rhizosphere. The radial oxygen loss (ROL) rate for root systems is characterized by the following sequence: basal root (20.6 ± 5.1–49.6 ± 9.5 nmol m−2 s−1, n = 7) > lateral root (14.1 ± 4.1–36.6 ± 8.3 nmol m−2 s−1, n = 7) > root tip (13.1 ± 4.6–28.8 ± 6.4 nmol m−2 s−1, n = 7). The O2 maximum value on lines transecting each kind of root also obeys the sequence mentioned above. For one typical root, (1) O2 decreases from 131.2 ± 2.4–147.4 ± 3.7 μmol L−1 at the root center to 47.2 ± 1.4–75.9 ± 2.2 μmol L−1 in the rhizosphere fringe due to O2 supply from the root surface and O2 consumption in rhizosphere sediment, and (2) the furthest distance from the aboveground part to the root tip leads to the lowest O2 concentration at the root apex of that root. The light/dark transition and O2 level in overlying water modulate the photosynthetic activity of leaves and the transfer of oxygen in the water column through aerenchyma tissue to the roots. The sequence of the oxygenated area (%), ROL rate, and O2 concentration in rhizosphere sediment under various conditions is demonstrated as: high illumination/high O2 > darkness/high O2 > high illumination/low O2 > darkness/low O2. The effect of O2 in water on the ROL of Vallisneria spiralis is more distinct than illumination. Oxygen storage in roots, and especially O2 diffusion from overlying water, can supplement O2 deficiency in the rhizosphere during the cessation of photosynthesis under darkness. This research advances the understanding of complex interrelationships among O2 dynamics in different root parts, photosynthesis, O2 in overlying water and O2 transfer through plant aerenchyma to the rhizosphere. Full article
(This article belongs to the Section Plant Physiology and Metabolism)
20 pages, 13113 KB  
Article
An Edge Computing-Enabled UAV-Based Image Mosaicing System Using a Novel B-SIFT-ILS Algorithm
by Linhui Wang, Zhizhuang Liu, Yu Yang, Lizhi Chen, Zhenqi Zhou, Mengyu Zeng and Yonghong Tan
Algorithms 2026, 19(6), 489; https://doi.org/10.3390/a19060489 - 18 Jun 2026
Viewed by 195
Abstract
In UAV-based remote sensing, accurate and efficient image mosaicing is crucial for achieving real-time monitoring. Traditional cloud-centric processing paradigms, however, face core scientific challenges such as high latency, bandwidth bottlenecks, and limited autonomy, making them inadequate for dynamic, real-time scenarios. To address these [...] Read more.
In UAV-based remote sensing, accurate and efficient image mosaicing is crucial for achieving real-time monitoring. Traditional cloud-centric processing paradigms, however, face core scientific challenges such as high latency, bandwidth bottlenecks, and limited autonomy, making them inadequate for dynamic, real-time scenarios. To address these issues, this paper proposes an edge-computing-enabled UAV image mosaicing system. The system consists of a UAV remote sensing platform and an edge computing terminal, with the core being our novel B-SIFT-ILS algorithm. The algorithm first uses geographic coordinates for unified registration, constructs a Gaussian scale space for multi-resolution representation, and then precisely locates extrema in the Difference of Gaussian (DoG) space using a 3D quadratic function. A BANSAC algorithm is subsequently employed to refine feature points and extract stable SIFT features, and finally, Iterative Least Squares (ILS) are used to achieve seamless mosaicing. Experimental results demonstrate that, compared with classical RANSAC, the proposed method achieves superior feature sampling accuracy (rotation: 0.879, translation: 0.877) and lower latency. The ILS-based smoothing stage effectively eliminates noise and ghosting without introducing gradient reversal, performing comparably to deep learning methods while significantly outperforming direct averaging and Gaussian approaches. On the NVIDIA Jetson Orin NX edge terminal, a single processing instance requires only 1124 ms, highlighting its strong potential for real-time, low-latency, and autonomous mosaicing tasks. Future research will focus on extending the approach to non-planar terrains and implementing adaptive parameter tuning for the BANSAC algorithm. Full article
(This article belongs to the Special Issue AI-Driven Optimization for Sustainable Edge-Cloud Continuum)
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49 pages, 473 KB  
Article
p-th Iterate Contractive Mappings: Extending Rakotch, Edelstein and Bianchini Theorems with Applications to Caputo Fractional Differential Equations
by Zouaoui Bekri, Nicola Fabiano, Florian Munteanu and Abdulaziz Khalid Alsharidi
Axioms 2026, 15(6), 447; https://doi.org/10.3390/axioms15060447 - 15 Jun 2026
Viewed by 121
Abstract
Classical fixed-point theorems for Rakotch, Edelstein, and Bianchini contractions require the contractive condition to hold for the mapping itself at every iteration, which severely limits their applicability to many real-world problems. In this paper, we break this limitation by shifting the contractive requirement [...] Read more.
Classical fixed-point theorems for Rakotch, Edelstein, and Bianchini contractions require the contractive condition to hold for the mapping itself at every iteration, which severely limits their applicability to many real-world problems. In this paper, we break this limitation by shifting the contractive requirement to the p-th iterate of the mapping. We introduce three novel classes of p-Rakotch, p-Edelstein, and p-Bianchini contractions and prove that each guarantees the existence of a unique fixed point and global convergence of the Picard sequence from any initial point, under appropriate metric space assumptions (completeness for Rakotch and Bianchini; compactness with continuity for Edelstein). A key feature of our approach is that the original mapping T need not satisfy any contractive condition; only its p-th iterate Tp needs to. This allows us to handle mappings where classical theorems simply do not apply. To validate our theoretical findings, we provide explicit numerical examples for p=3,4,5. More importantly, we demonstrate the practical power of our results through six diverse applications: ordinary differential equations with large coefficients; planar discrete dynamical systems; nonlinear Hammerstein integral equations; Caputo fractional differential equations with large linear terms; fractional equations exploiting the smoothing property; and implicit fractional differential equations. In each application, the classical contractive condition fails, yet our p-iterate approach succeeds. When p=1, all three theorems reduce to their classical counterparts, confirming that our framework is a natural and faithful generalization. Full article
21 pages, 3207 KB  
Article
Exploring Qualitative Analysis and Interaction Dynamics in a (3+1)-Dimensional Boussinesq Equation II via Hirota Bilinear Method
by Ali Danladi, Aljethi Reem Abdullah, Ejaz Hussain and Beenish
Mathematics 2026, 14(11), 1981; https://doi.org/10.3390/math14111981 - 3 Jun 2026
Viewed by 204
Abstract
In this work, we explore the nonlinear wave phenomena of the (3+1)-dimensional Boussinesq (II) equation, a significantly higher-dimensional model that describes dispersive wave propagation in fluid dynamics, plasma systems, and nonlinear optics. Using exact analytic and qualitative dynamic approaches, we study a wide [...] Read more.
In this work, we explore the nonlinear wave phenomena of the (3+1)-dimensional Boussinesq (II) equation, a significantly higher-dimensional model that describes dispersive wave propagation in fluid dynamics, plasma systems, and nonlinear optics. Using exact analytic and qualitative dynamic approaches, we study a wide range of solutions and stability characteristics of the model. Initially, we use the Hirota bilinear method to obtain a number of exact solutions, such as breather waves, two-wave interaction solutions, and other types of localized nonlinear waves. These solutions display remarkable physical properties, including periodic energy trapping, oscillatory modulations, and nonlinear wave interactions in higher dimensions. In addition, the (m+1G)-expansion method is used to derive new soliton solutions, such as bright solitary waves and W-shaped solitons, which are found to be stable and undergo pulse-shaping dynamics under certain conditions. Three-dimensional, two-dimensional, and contour plots are displayed for some of the solutions to demonstrate the physical significance of the results. The visualizations reveal the presence of localized waves, wave interactions, periodical breathing, and stable soliton profiles. Furthermore, we conduct modulation instability analysis to describe the conditions under which small perturbations of continuous wave backgrounds are unstable. The dispersion relation and the instability gain spectrum are obtained, which explain the formation of breathers, soliton trains, and other coherent structures. Furthermore, a Galilean transformation converts the governing equation into a planar nonlinear dynamical system, enabling its qualitative study. The Hamiltonian structure is revealed, and the fixed points are identified as centers, saddles, and cusps through bifurcation analysis. To investigate more complex dynamics, a periodic forcing term is introduced into the system, resulting in chaos in the forced system. The chaotic behavior is confirmed via phase portraits, three-dimensional attractors, time series, Poincaré sections, return maps, fractal dimension, and positive Lyapunov exponents. We also perform a sensitivity test to show the effect of initial condition variations on the system’s long-term dynamics. The findings greatly expand the exact solution set and dynamics of the (3+1)-dimensional Boussinesq equation (II). The analytical approach presented in this paper can also be applied to other multidimensional nonlinear evolution equations of mathematical physics. Full article
(This article belongs to the Special Issue Advances in Nonlinear Analysis and Applications)
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27 pages, 43994 KB  
Article
Integrating Digital Holography and Molecular Dynamics for Non-Destructive 3D Characterization and Deterioration Mechanism Analysis of Subsurface Microcracks in Mural Paintings
by Huiling Zhang, Wenjing Zhou, Sihan Chen, Guanghua Li, Liang Qu, Yao Chen, Yingjie Yu and Vivi Tornari
Heritage 2026, 9(6), 225; https://doi.org/10.3390/heritage9060225 - 2 Jun 2026
Viewed by 235
Abstract
The detection and degradation analysis of subsurface microcracks in mural paintings remain challenging due to their inhomogeneous multilayered structure and complex deterioration mechanisms. In this study, we propose a multimodal stepwise method for three-dimensional characterization and cross-scale degradation analysis by integrating digital holography [...] Read more.
The detection and degradation analysis of subsurface microcracks in mural paintings remain challenging due to their inhomogeneous multilayered structure and complex deterioration mechanisms. In this study, we propose a multimodal stepwise method for three-dimensional characterization and cross-scale degradation analysis by integrating digital holography (DH), infrared thermography (IRT), acoustic excitation (AE), and molecular dynamics (MD) simulations. In the first step, an adjustable field-of-view (FOV) digital holographic system is developed to capture subsurface deformation under acoustic excitation, enabling high-resolution planar characterization of subsurface microcracks. Infrared thermography is then employed to estimate crack depth through an inverse thermal model, achieving full three-dimensional reconstruction of crack geometry. Based on the reconstructed structures, MD simulations are conducted to investigate the evolution of stress, bond breaking, and crack propagation under varying temperature and humidity conditions, with particular emphasis on water molecule migration and chemically induced degradation. The results demonstrate that environmental factors promote stress concentration and material embrittlement at crack tips, leading to secondary microcrack formation and progressive deterioration. Experimental aging tests show strong agreement with simulation results, validating the proposed methodology. This work establishes a unified “characterization–simulation–validation” paradigm, providing new insights into the mechanisms of mural degradation and offering a robust framework for non-destructive evaluation and preventive conservation of multilayer cultural heritage materials. Full article
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29 pages, 2650 KB  
Article
On the Dynamics of (Un)Fractional Ion-Acoustic Structures in Partially Degenerate Magnetized Quantum Plasmas: Multi-Soliton Solutions, Positon-Negaton Interactions, and Memory-Driven Morphological Transitions
by Linda Alzaben, Sabeela Shah, Muhammad Shohaib, Sidra Ali, Waqas Masood, Mohsin Siddiq, Aljawhara H. Almuqrin and Samir A. El-Tantawy
Symmetry 2026, 18(6), 937; https://doi.org/10.3390/sym18060937 - 29 May 2026
Viewed by 319
Abstract
Ion-acoustic waves in dense quantum plasmas are strongly influenced by Fermi degeneracy, Landau quantization, and finite-temperature effects, and in many relevant environments, they also experience memory and nonlocal transport processes that cannot be captured within the planar integer Korteweg-de Vries (KdV) paradigm. In [...] Read more.
Ion-acoustic waves in dense quantum plasmas are strongly influenced by Fermi degeneracy, Landau quantization, and finite-temperature effects, and in many relevant environments, they also experience memory and nonlocal transport processes that cannot be captured within the planar integer Korteweg-de Vries (KdV) paradigm. In the present work, we revisit this problem by considering a two-fluid, partially degenerate electron-ion plasma in which electron trapping in the presence of a quantizing field and finite temperature is taken into account. Starting from the normalized fluid-Poisson system appropriate for such magnetized quantum plasmas, the reductive perturbation technique is used to derive the planar integer KdV equation for weakly nonlinear ion-acoustic disturbances. Within this integer-order KdV framework, we recast the evolution equation as a planar dynamical system, construct the associated Hamiltonian and effective Sagdeev-like potential, and demonstrate the existence of compressive solitary waves and nonlinear periodic modes via homoclinic and periodic phase-space orbits. Exact multi-soliton solutions and interaction states are then obtained by combining Hirota’s direct bilinear method with generalized Wronskian representations, allowing us to describe not only standard one-, two-, and three-soliton profiles but also positon-negaton interactions relevant to magnetized, partially degenerate plasmas. To incorporate hereditary and history-dependent effects that arise from anomalous transport and nonlocal temporal response in dense environments, we extend the model by introducing a Caputo time-fractional derivative, thereby obtaining a time-fractional KdV (FKdV) equation that continuously connects the classical KdV limit to fractional dynamics. The FKdV equation is analyzed using the Tantawy technique. This semi-analytical iterative scheme yields rapidly convergent series approximations for the fractional ion-acoustic soliton and provides explicit control of the approximation error. The fractional solutions show that varying the order of the Caputo derivative modifies the amplitude, width, and temporal relaxation of the solitary structures and can even split the pulse into two distinct lobes, in contrast with the nearly rigid propagation predicted by the integer-order KdV equation. Taken together, these results clarify how Landau quantization, finite electron temperature, and fractional-order memory jointly shape the morphology, robustness, and interaction properties of ion-acoustic structures in strongly magnetized quantum plasmas of astrophysical and high-energy-density laboratory interest. Full article
(This article belongs to the Special Issue Theoretical Physics and Symmetry)
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27 pages, 4710 KB  
Article
Evaluating State-of-the-Art Models for the Seismic Response of RC Core Walls with Torsion
by Ryan Hoult, Antonio Janevski, Andrea Orgnoni, Tatjana Isaković, Rui Pinho and João Pacheco de Almeida
Buildings 2026, 16(11), 2141; https://doi.org/10.3390/buildings16112141 - 27 May 2026
Cited by 1 | Viewed by 292
Abstract
Reinforced concrete core walls serve as the primary lateral load-resisting system in mid- and high-rise buildings, providing stability against wind and earthquake forces. Many of these walls feature non-planar cross-sections that lead to complex deformation modes, which require discretizing the wall segments for [...] Read more.
Reinforced concrete core walls serve as the primary lateral load-resisting system in mid- and high-rise buildings, providing stability against wind and earthquake forces. Many of these walls feature non-planar cross-sections that lead to complex deformation modes, which require discretizing the wall segments for accurate numerical simulation. This paper investigates the dynamic response of U-shaped RC core walls using state-of-the-practice micro- and macroscopic modeling techniques, namely: Three-dimensional solid elements, nonlinear Beam-Truss Models, the force–displacement version of the Multiple-Vertical-Line-Element-Model, and the Applied Element Method. These models are validated against newly obtained large-scale shake table test data, assessing both global and local structural responses. Key parameters, including displacements, shear forces, rotations, torque, strain distributions, and shear deformations, are analyzed to refine numerical modeling approaches. Findings highlight some of the limitations of the different modeling approaches and provide best-practice recommendations for engineers to improve predictive accuracy. This study advances the understanding of non-planar RC wall behavior, aiding in the development of more reliable seismic design methodologies. Full article
(This article belongs to the Section Building Structures)
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17 pages, 1807 KB  
Article
Phase-Space Structure and Traveling-Wave Solutions of a (3 + 1)-Dimensional Extended Kadomtsev–Petviashvili Equation
by Yaling Lai, Xiyan Wu, Jiaye Lin, Changlong Chen, Junjie Li and Yucheng Chen
Mathematics 2026, 14(11), 1861; https://doi.org/10.3390/math14111861 - 27 May 2026
Viewed by 185
Abstract
This study investigates the (3+1)-dimensional extended Kadomtsev–Petviashvili equation via traveling-wave phase-space geometry. The equation is reduced to a planar Hamiltonian system with cubic nonlinearity, whose conserved energy partitions the phase space into periodic orbits, separatrices, and unbounded trajectories. Closed-form [...] Read more.
This study investigates the (3+1)-dimensional extended Kadomtsev–Petviashvili equation via traveling-wave phase-space geometry. The equation is reduced to a planar Hamiltonian system with cubic nonlinearity, whose conserved energy partitions the phase space into periodic orbits, separatrices, and unbounded trajectories. Closed-form profiles for the gradient variable φ=Uξ are obtained through separation of variables; the corresponding field U is recovered by quadrature and must satisfy a zero-mean condition for periodic reconstruction. In particular, for h1>0, the reconstructed field exhibits kink/antikink-type rather than localized-pulse behavior. Under weak periodic forcing, an explicit Melnikov amplitude factor is derived. Its exponential decay with the forcing frequency implies that the leading-order separatrix splitting distance μA(ω) becomes exponentially small at high frequency, while the simple-zero condition still predicts transverse intersections of stable and unstable manifolds and the onset of horseshoe chaos. Applying the complete discriminant method yields eight distinct solution families—hyperbolic, trigonometric, rational, and Jacobi elliptic—each associated with a unique orbital topology. These results enrich both the dynamical theory and the exact solution framework of higher-dimensional nonlinear evolution equations. Full article
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14 pages, 401 KB  
Article
Magnetically Controlled Two-Dimensional Charge Transport in Repulsive Nanostructured Potentials
by Orion Ciftja and Cleo L. Bentley
Nanomaterials 2026, 16(11), 661; https://doi.org/10.3390/nano16110661 - 24 May 2026
Viewed by 340
Abstract
We study the planar dynamics of a charged particle subjected to a radially repulsive inverted harmonic potential and a perpendicular uniform magnetic field, a configuration that is relevant to nanoscale-charged transport and confinement in low-dimensional systems. The competition between the destabilizing central repulsion [...] Read more.
We study the planar dynamics of a charged particle subjected to a radially repulsive inverted harmonic potential and a perpendicular uniform magnetic field, a configuration that is relevant to nanoscale-charged transport and confinement in low-dimensional systems. The competition between the destabilizing central repulsion and magnetic field-induced rotational motion gives rise to rich trajectory behavior, including spiraling, unbounded escape, and parameter-dependent quasi-confined motion. The governing coupled differential equations of motion are solved analytically. The resulting trajectories are classified as functions of system parameters. The proposed framework provides insight into charge carrier dynamics in nanostructured environments such as quantum wells, 2D materials, and plasma-like nanosystems, where effective repulsive potentials may arise from external gating or collective interactions. In addition, the model offers a classical analogue for interpreting features associated with magnetic confinement in non-equilibrium or unstable regimes. These results contribute to the theoretical foundation for designing and controlling charged particle motion in emerging nanomaterials and devices. Full article
(This article belongs to the Special Issue Applications and Theoretical Studies of Low-Dimensional Nanomaterials)
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13 pages, 322 KB  
Article
Existence and Blow-Up of Compressible Spherically Symmetric Euler Equations with Vacuum Free Boundary
by Lijun Zhang, Junmei Shi and Chaudry Masood Khalique
Mathematics 2026, 14(10), 1775; https://doi.org/10.3390/math14101775 - 21 May 2026
Viewed by 251
Abstract
This paper studies the compressible spherically symmetric Euler equations with a vacuum free boundary, a fundamental model for astrophysical gas dynamics. We rigorously resolve an open problem by proving that nontrivial homogeneous linear velocity solutions exist if, and only if, the adiabatic exponent [...] Read more.
This paper studies the compressible spherically symmetric Euler equations with a vacuum free boundary, a fundamental model for astrophysical gas dynamics. We rigorously resolve an open problem by proving that nontrivial homogeneous linear velocity solutions exist if, and only if, the adiabatic exponent γ=4/3, the critical value for monatomic gases and radiative stellar atmospheres. Using qualitative analysis of the reduced planar dynamical system, we characterize the flow’s global existence and finite-time blow-up behavior, establish a sharp existence threshold, and derive an explicit upper bound for the blow-up time. Quantitative energy estimates via Bernoulli’s head verify the physical consistency of solutions in both regimes. Our results complete the classification of self-similar solutions in this class, laying a rigorous theoretical foundation for planetary atmospheric gas flows and providing a practical criterion for predicting blow-up. Full article
(This article belongs to the Special Issue Computational Mechanics and Applied Mathematics, 2nd Edition)
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13 pages, 1177 KB  
Article
Bifurcation Analysis and Chaotic Behaviors of and a Traveling-Wave Solution to the Zhiber–Shabat Equation with a Truncated M-Fractional Derivative
by Zhao Li and Ejaz Hussain
Fractal Fract. 2026, 10(5), 335; https://doi.org/10.3390/fractalfract10050335 - 15 May 2026
Cited by 2 | Viewed by 346
Abstract
In this article, we use truncated M-fractional derivatives to analyze the bifurcation and chaotic behavior of and traveling-wave solutions to the Zhiber–Shabat equation. By introducing truncated M-fractional derivatives, the equation exhibits richer dynamic properties. Based on phase diagram analysis and dynamical system theory, [...] Read more.
In this article, we use truncated M-fractional derivatives to analyze the bifurcation and chaotic behavior of and traveling-wave solutions to the Zhiber–Shabat equation. By introducing truncated M-fractional derivatives, the equation exhibits richer dynamic properties. Based on phase diagram analysis and dynamical system theory, the bifurcation behavior of the equilibrium point of a two-dimensional dynamical system is discussed. At the same time, the dynamical behavior of a two-dimensional dynamical system with periodic disturbances is considered, revealing the complex chaotic phenomena of the system under specific parameters. A planar phase diagram, a three-dimensional phase diagram, a sensitivity analysis, and a maximum Lyapunov exponent diagram of the perturbed two-dimensional dynamical system were employed. Furthermore, various forms of accurate analytical solutions were obtained through traveling-wave transformation and numerical simulation. The three-dimensional, two-dimensional, density, and polar coordinates of the solutions were plotted using mathematical software. The results indicate that the fractional order and system parameters have a significant impact on the morphology and chaotic characteristics of the solution. This study provides new theoretical insights into the nonlinear dynamics of fractional-order Zhiber–Shabat equations. Full article
(This article belongs to the Special Issue Fractional Nonlinear Dynamics in Science and Engineering)
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28 pages, 3548 KB  
Article
Edge Computing Approach to AI-Based Gesture for Human–Robot Interaction and Control
by Nikola Ivačko, Ivan Ćirić and Miloš Simonović
Computers 2026, 15(4), 241; https://doi.org/10.3390/computers15040241 - 14 Apr 2026
Viewed by 1195
Abstract
This paper presents an edge-deployable vision-based framework for human–robot interaction using a xArm collaborative robot and a single RGB camera mounted on the robot wrist, and lightweight AI-based perception modules. The system enables intuitive, contact-free control by combining hand understanding and object detection [...] Read more.
This paper presents an edge-deployable vision-based framework for human–robot interaction using a xArm collaborative robot and a single RGB camera mounted on the robot wrist, and lightweight AI-based perception modules. The system enables intuitive, contact-free control by combining hand understanding and object detection within a unified perception–decision–control pipeline. Hand landmarks are extracted using MediaPipe Hands, from which continuous hand trajectories, static gestures, and dynamic gestures are derived. Task objects are detected using a YOLO-based model, and both hand and object observations are mapped into the robot workspace using ArUco-based planar calibration. To ensure stable robot motion, the hand control signal is smoothed using low-pass and Kalman filtering, while dynamic gestures such as waving are recognized using a lightweight LSTM classifier. The complete pipeline runs locally on edge hardware, specifically NVIDIA Jetson Orin Nano and Raspberry Pi 5 with a Hailo AI accelerator. Experimental evaluation includes trajectory stability, gesture recognition reliability, and runtime performance on both platforms. Results show that filtering significantly reduces hand-tracking jitter, gesture recognition provides stable command states for control, and both edge devices support real-time operation, with Jetson achieving consistently lower runtime than Raspberry Pi. The proposed system demonstrates the feasibility of low-cost edge AI solutions for responsive and practical human–robot interaction in collaborative industrial environments. Full article
(This article belongs to the Special Issue Intelligent Edge: When AI Meets Edge Computing)
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31 pages, 9719 KB  
Article
Nonlinear Dynamic Behavior and Kinematic Joint Wear Characteristics of a Bionic Humanoid Leg Mechanism with Multiple Revolute Joint Clearances
by Yilin Wang, Siyuan Zheng, Yiran Wei, Jianuo Zhu, Shuai Jiang and Shutong Zhou
Lubricants 2026, 14(4), 167; https://doi.org/10.3390/lubricants14040167 - 13 Apr 2026
Viewed by 417
Abstract
With the rapid advancement of exoskeletons and rehabilitation robotics, modern healthcare increasingly demands high dynamic accuracy and reliability from medical devices. However, the dynamic response and durability of mechanical systems are greatly influenced by the inevitable existence of clearances in kinematic joints. Existing [...] Read more.
With the rapid advancement of exoskeletons and rehabilitation robotics, modern healthcare increasingly demands high dynamic accuracy and reliability from medical devices. However, the dynamic response and durability of mechanical systems are greatly influenced by the inevitable existence of clearances in kinematic joints. Existing studies predominantly focus on simplified planar or spatial mechanisms, offering limited guidance for complex mechanical structures in medical applications. To address this issue, a unified modeling framework is proposed in this study to explore the nonlinear dynamic behavior and wear properties of bionic humanoid rigid mechanisms incorporating revolute joint clearances. A dynamic model that accounts for revolute joint clearances is established, employing the Lankarani–Nikravesh contact model alongside a refined Coulomb friction approach to characterize contact behavior. To characterize the wear progression between the shaft and the bushing, the Archard wear model is employed, while the system’s dynamic equations are formulated using the Lagrange multiplier approach. Systematic simulations are conducted to examine the effects of clearance size, location, and multi-clearance coupling on dynamic response and wear behavior. The results reveal that clearances at the hip joint have the most pronounced impact on system performance, tibiofemoral joint clearances exacerbate precision disturbances, and foot-end clearances considerably undermine system robustness. Increased clearance sizes and the coexistence of multiple clearances aggravate wear and induce more severe nonlinear dynamic phenomena. Phase portraits and Poincaré maps further illustrate that the system may exhibit complex or chaotic behavior under certain conditions. This study offers theoretical insights into performance degradation mechanisms in humanoid robots with joint clearances and introduces a modular “driving–mid–terminal” structure that enhances model generality, enabling its application to exoskeletons and rehabilitation devices for design optimization, service life prediction, and health monitoring. Full article
(This article belongs to the Special Issue Advances in Tribology and Lubrication for Bearing Systems)
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28 pages, 4609 KB  
Review
Reconfigurable Antennas Enabled by Tunable Metasurfaces for Next-Generation Wireless Communications: A Review
by Zahra Hamzavi-Zarghani, Ladislau Matekovits and Wolfgang Bösch
Electronics 2026, 15(8), 1610; https://doi.org/10.3390/electronics15081610 - 13 Apr 2026
Viewed by 2222
Abstract
Reconfigurable antennas play a central role in next-generation wireless communication systems by enabling dynamic adaptation of operating frequency, radiation pattern, and polarization. Tunable metasurfaces have emerged as a powerful and compact approach to antenna reconfiguration, allowing electromagnetic wave manipulation through engineered, planar structures [...] Read more.
Reconfigurable antennas play a central role in next-generation wireless communication systems by enabling dynamic adaptation of operating frequency, radiation pattern, and polarization. Tunable metasurfaces have emerged as a powerful and compact approach to antenna reconfiguration, allowing electromagnetic wave manipulation through engineered, planar structures whose properties can be dynamically controlled. By embedding active devices or tunable materials within metasurface unit cells, antenna characteristics can be modified without altering the antenna geometry. This review provides a comprehensive overview of reconfigurable antennas enabled by tunable metasurfaces. We adopt a functionality-based classification that focuses on operating frequency, radiation pattern, polarization, and multifunction reconfiguration. An overview of major tunability technologies, including PIN diodes, varactors, MEMS, graphene and two-dimensional materials, and liquid crystal (LC) or phase-change materials, is first presented. Subsequently, metasurface-based reconfiguration strategies are discussed and compared for each antenna functionality, highlighting design principles, practical trade-offs, and limitations. The review concludes with an assessment of challenges and future research directions relevant to next-generation wireless communications and beyond. Full article
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