作者机构：
[Haoyu Huang; Yunyun Du; Junhe Xie; Zhenqun Guan] State Key Laboratory of Structure Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, China;[Fei Yu] HONG KONG QUANTUM AI LAB, Hong Kong Special Administrative Region;[Xiaoyu Jiang; Julin Shan; Haidong Zhang] Shanghai NineCube Microelectronic Co., Ltd, Shanghai, China;[Jie Cao] School of Mathematics and Physics, University of South China, Hengyang, China
通讯机构：
[Zhenqun Guan] S;State Key Laboratory of Structure Analysis, Optimization and CAE Software for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, China
摘要：
Physical field simulations demand efficient mesh deformation and adaptive refinement methods. This paper proposes a systematical method tailored to the specific needs of simulations. Interpolation-based methods are preferred for large-scale mesh deformation due to computational efficiency. Improving the inverse distance weighted method by introducing auxiliary nodes using the sub-mesh. A node smoothing algorithm based on layered mesh is also devised to enhance mesh deformation ability. Optimizing the convergence criterion greatly reduces computation time. To improve element quality after deformation and meet the requirement for iterative refinement of mesh in simulation, a mesh refinement method is proposed. To address challenges in inserting nodes into narrow spaces, a novel algorithm is developed, which integrates the boundary constraints with the longest-edge propagation path. The co-optimization of surface and tetrahedral meshes is achieved through an algorithm based on size-field and an improved surface priority insertion strategy. A boundary edge priority algorithm is proposed to preserve the fitness between mesh and geometry. Flow field examples demonstrate the method’s effectiveness in mesh deformation and the optimization of poor-quality elements. Electromagnetic simulation results show that, compared to commercial software, the method significantly reduces the number of elements after refinement while maintaining solver accuracy.
Physical field simulations demand efficient mesh deformation and adaptive refinement methods. This paper proposes a systematical method tailored to the specific needs of simulations. Interpolation-based methods are preferred for large-scale mesh deformation due to computational efficiency. Improving the inverse distance weighted method by introducing auxiliary nodes using the sub-mesh. A node smoothing algorithm based on layered mesh is also devised to enhance mesh deformation ability. Optimizing the convergence criterion greatly reduces computation time.
To improve element quality after deformation and meet the requirement for iterative refinement of mesh in simulation, a mesh refinement method is proposed. To address challenges in inserting nodes into narrow spaces, a novel algorithm is developed, which integrates the boundary constraints with the longest-edge propagation path. The co-optimization of surface and tetrahedral meshes is achieved through an algorithm based on size-field and an improved surface priority insertion strategy. A boundary edge priority algorithm is proposed to preserve the fitness between mesh and geometry. Flow field examples demonstrate the method’s effectiveness in mesh deformation and the optimization of poor-quality elements. Electromagnetic simulation results show that, compared to commercial software, the method significantly reduces the number of elements after refinement while maintaining solver accuracy.
期刊：
Mathematical Methods in the Applied Sciences,2025年48(5):5768-5780 ISSN：0170-4214
通讯作者：
Chen, HW
作者机构：
[Chen, Huiwen; Ouyang, Zigen; Xu, Xiaoliang] Univ South China, Sch Math & Phys, Hengyang, Hunan, Peoples R China.;[Chen, Huiwen; Ouyang, Zigen] Univ South China, Hunan Key Lab Math Modeling & Sci Comp, Hengyang, Hunan, Peoples R China.
通讯机构：
[Chen, HW ] U;Univ South China, Sch Math & Phys, Hengyang, Hunan, Peoples R China.;Univ South China, Hunan Key Lab Math Modeling & Sci Comp, Hengyang, Hunan, Peoples R China.
关键词：
critical point theory;existence and multiplicity;ground state solution;local superlinear condition;periodic discrete nonlinear Schr & ouml;dinger equation
摘要：
Consider the nonlinear difference equations of the form & Laplacetrf;u=fm(u),m is an element of & Zopf;$$ \mathit{\mathcal{L}u}={f}_m(u),\kern0.3em m\in \mathbb{Z} $$, where & Laplacetrf;$$ \mathcal{L} $$ is a Jacobi operator given by & Laplacetrf;um=amum+1+am-1um-1+bmum$$ \mathcal{L}{u}_m={a}_m{u}_{m+1}+{a}_{m-1}{u}_{m-1}+{b}_m{u}_m $$ for m is an element of & Zopf;,am$$ m\in \mathbb{Z},\kern0.3em \left\{{a}_m\right\} $$ and bm$$ \left\{{b}_m\right\} $$ are real valued T$$ T $$-periodic sequences, and f:& Zopf;x & Ropf;->& Ropf;$$ f:\mathbb{Z}\times \mathbb{R}\to \mathbb{R} $$. Applying critical point theory and a new analytical method, we obtain that the above problem has ground state solutions and infinitely many geometrically distinct solutions under the local superlinear condition limx ->infinity integral 0xfm(t)dt|x|2=infinity$$ {\lim}_{verbarxverbar\to \infty}\frac{\int_0<^>x{f}_m(t) dt}{{\left|x\right|}<^>2}=\infty $$ uniformly in m is an element of D$$ m\in D $$ for some set D subset of & Zopf;$$ D\subset \mathbb{Z} $$ instead of the global superlinear condition limx ->infinity integral 0xfm(t)dt|x|2=infinity$$ {\lim}_{verbarxverbar\to \infty}\frac{\int_0<^>x{f}_m(t) dt}{{\left|x\right|}<^>2}=\infty $$ uniformly in m is an element of & Zopf;$$ m\in \mathbb{Z} $$.
作者机构：
[Jiayin Song; Junzhe Li; Hao Li; Sheng Zeng] School of Resources Environment and Safety Engineering, University of South China, Hengyang 421001, China;[Bing Sun] School of Civil Engineering, University of South China, Hengyang 421001, China;[Qiue Cai] School of Mathematics and Physics, University of South China, Hengyang 421001, China
通讯机构：
[Sheng Zeng] S;School of Resources Environment and Safety Engineering, University of South China, Hengyang 421001, China
摘要：
Mineral dissolution and erosion during the leaching of uranium-bearing sandstone have profound effects on the evolution of pore structure and uranium leaching rate. X-ray diffraction (XRD), scanning electron microscopy (SEM), and nuclear magnetic resonance (NMR) techniques were used to characterise mineral changes and pore structure evolution in samples. The results indicate that during the in situ leaching process, feldspar was transformed into clay minerals and quartz. Dolomite and calcite completely dissolved and formed a large amount of Ca 2+ , which increased the content of CaSO 4 . The CaSO 4 and MgSiO 3 precipitated particles formed in the reaction blocked the pores or migrated with the leaching solution, and the porosity of the sandstone initially decreased and then increased. Furthermore, the pores were divided into micropores, mesopores, and macropores, and combined with NMR fractal theory, it was found that the pore structure of sandstone exhibited multifractal characteristics. The obtained pore fractal dimension had a positive correlation with quartz, dolomite, calcite, and feldspar contents, whereas the other mineral components showed a negative correlation. This study provides a theoretical reference for understanding the mechanism of pore plugging and optimising the deplugging process in acid leaching for uranium extraction.
Mineral dissolution and erosion during the leaching of uranium-bearing sandstone have profound effects on the evolution of pore structure and uranium leaching rate. X-ray diffraction (XRD), scanning electron microscopy (SEM), and nuclear magnetic resonance (NMR) techniques were used to characterise mineral changes and pore structure evolution in samples. The results indicate that during the in situ leaching process, feldspar was transformed into clay minerals and quartz. Dolomite and calcite completely dissolved and formed a large amount of Ca 2+ , which increased the content of CaSO 4 . The CaSO 4 and MgSiO 3 precipitated particles formed in the reaction blocked the pores or migrated with the leaching solution, and the porosity of the sandstone initially decreased and then increased. Furthermore, the pores were divided into micropores, mesopores, and macropores, and combined with NMR fractal theory, it was found that the pore structure of sandstone exhibited multifractal characteristics. The obtained pore fractal dimension had a positive correlation with quartz, dolomite, calcite, and feldspar contents, whereas the other mineral components showed a negative correlation. This study provides a theoretical reference for understanding the mechanism of pore plugging and optimising the deplugging process in acid leaching for uranium extraction.
作者机构：
[Yan, Xuejin; Yan, XJ] Univ South China, Sch Civil Engn, Hengyang 421001, Hunan, Peoples R China.;[Xu, Feng; Xu, F; Guo, Changqing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Yan, XJ ; Xu, F; Guo, CQ ] U;Univ South China, Sch Civil Engn, Hengyang 421001, Hunan, Peoples R China.;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
fluid-conveying pipe;base excitation;impact vibration response;Pasternak base
摘要：
When the fluid-conveying pipe is buried on the surface of the base, it will not only suffer from rigid impact damage caused by base excitation and surrounding gravel, but also be affected by the characteristics of the base, which makes safety accidents extremely likely to occur during the operation of the fluid-conveying pipe. Based on the Hamilton principle, a mathematical model of simply supported fluid-conveying pipe structures with a rigid constraint on the Pasternak base under base excitation is established. The Galerkin method is used to discretize the equation of motion, and the NDFS algorithm is employed to solve the system of equations. The influence is discussed in terms of the base excitation frequency, internal flow rate, and the viscoelastic coefficient of the pipe on the model. Bifurcation diagrams, phase diagrams, Poincaré maps, and time-history curves under various parameters are used to analyze the impact vibration response of the fluid-conveying pipe system. The research shows that: grazing impact usually occurs when the system’s motion state changes under impact vibration, and at a lower base excitation frequency, grazing impact will induce incomplete chatter-impact vibration in the system; there is a particular dynamic law in the evolution between quasi-periodic motion and single-period non-impact vibration on the Poincaré map; the increase in the equivalent linear spring stiffness K and shear stiffness KG of the Pasternak base is beneficial for resisting the unstable factors caused by base excitation. The findings of this study provide theoretical support for the optimal design, operation maintenance, and safety assurance of fluid-conveying pipes on the Pasternak base.
作者：
Dan Li;Yuxiang Zuo;Shiyang Hu*;Chen Deng;Yu Wang;...
期刊：
EUROPEAN PHYSICAL JOURNAL C,2025年85(8):1-14 ISSN：1434-6044
通讯作者：
Shiyang Hu
作者机构：
[Dan Li; Yuxiang Zuo; Shiyang Hu] School of Mathematics and Physics, University of South China, Hengyang, People’s Republic of China;[Chen Deng] School of Astronomy and Space Science, Nanjing University, Nanjing, People’s Republic of China;[Yu Wang] School of Physical Science and Technology, Guangxi University, Nanning, People’s Republic of China;[Wenfu Cao] School of Physics and Technology, University of Jinan, Jinan, People’s Republic of China
通讯机构：
[Shiyang Hu] S;School of Mathematics and Physics, University of South China, Hengyang, People’s Republic of China
摘要：
In this paper, we employ a ray-tracing algorithm to simulate the shadows of three equal-mass black holes in static equilibrium across a wide parameter space. We find that the shadows consist of a larger primary shadow and several distorted, eyebrow-like secondary shadows. The boundaries of these profiles exhibit self-similar fractal structures, which can be attributed to the photon chaotic scattering. In certain parameter spaces, we also observe the ring-like shadows, with the ring diameter associated with the spacing of black holes. Furthermore, when the black holes approach each other sufficiently, their shadows can merge into a standard disk, suggesting a shadow degeneracy between closely arranged triple black holes and a single massive, spherically symmetric black hole. The shadow features of the triple black holes revealed in this study have potential implications for analyzing the shadow formation mechanisms, as well as the gravitational lensing during the merger and inspiral of black holes.
摘要：
Cu-based self-lubricating composites have excellent mechanical properties and enhanced friction characteristics, rendering them ideal for aerospace wear parts. However, the significant mismatch in coefficients of thermal expansion (CTE) between them and counterparts, typically steel, would limit their widespread application. To address this issue, Ni50Fe powders with a low CTE are incorporated into Cu15Ni8Sn-MoS 2 composites via mixing and hot-pressed sintering, resulting in Cu15Ni8Sn-Ni50Fe-MoS 2 composites. The addition of Ni50Fe significantly reduces the CTE of the composites. When added in moderation, Ni50Fe can enhance the mechanical properties and wear resistance, despite a slight degradation in lubricity. The variations in mechanical and friction properties of the composites are attributed to the reaction of Cu and Fe with MoS 2 and the change of matrix composition. The composite containing 40 vol% Ni50Fe (N40) has the best comprehensive performance. Compared to the Cu15Ni8Sn-MoS 2 composite, the CTE of N40 is reduced by 13.7%, along with increases in hardness (5.2%), transverse rupture strength (19.1%), radial crushing strength (11.3%), and a reduction in wear rate (8.8%), although its friction coefficient increases by 15.4%.
作者机构：
[Qian, Shengyou; Zou, Xiao; Chang, Shuai; Ju, Fangfang; Gong, Jinru; Tian, Feng; Lei, Weirui; Qian, SY] Hunan Normal Univ, Sch Phys & Elect, Changsha 410081, Peoples R China.;[Hu, Jiwen] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Zhai, Jintao] Hunan Univ, Coll Comp Sci & Elect Engn, Changsha 410012, Peoples R China.
通讯机构：
[Zou, X; Ju, FF; Qian, SY ] H;Hunan Normal Univ, Sch Phys & Elect, Changsha 410081, Peoples R China.
关键词：
AP;Flow and heat transfer;Focused ultrasound;Porous media
摘要：
Focused ultrasound has been widely used for the thermotherapy of soft tissue lesions. In this process, non-Fourier heat conduction and porous medium theory has to be considered because of non-homogeneous media. The study estimates the effects of the temperature lag and porous medium on the plaque ablation and drug treatment by focused ultrasound (FU). This study integrated TWMBT with the porous media heat transfer equation to characterize the internal temperature distribution within atherosclerotic plaque (AP) during FU application. The coupling equations are solved with finite element method. This paper focuses on the effects of porosity, permeability, and attenuation coefficient on the temperature and flow rate within the AP. The results consider artery wall thickness on heating of AP by FU. In addition, this study qualitatively analyzed the differences among the Pennes, TWMBT, and porous media heat conduction equations. The results show that the temperature responses of biological tissues exhibits lagging behaviors, which are inherently related to the physical time scale. Because of the disparities in the physical characteristics of the target and surrounding tissues, fluid flow within AP can have an impact on the distribution of tissue temperature, the direction of flow between solid tissues is determined by the permeability coefficient and ultrasonic intensity. The permeability coefficient, frequency and attenuation coefficient have a significant effect on the fluid flow within AP. Both heat dissipation and heat convergence are characteristics of fluid flow within the tissue, the focal location and the physical property parameters may affect the fluid heat dissipation and heat collection properties within the tissue. Furthermore, the temperature peak may not occur at the focus. The model can provide an analytical template for different types of precise thermal ablation AP, including radiofrequency ablation, microwave therapy, and laser ablation besides FU ablation, and can also provide a case for adjunctive drug transport.
Focused ultrasound has been widely used for the thermotherapy of soft tissue lesions. In this process, non-Fourier heat conduction and porous medium theory has to be considered because of non-homogeneous media. The study estimates the effects of the temperature lag and porous medium on the plaque ablation and drug treatment by focused ultrasound (FU). This study integrated TWMBT with the porous media heat transfer equation to characterize the internal temperature distribution within atherosclerotic plaque (AP) during FU application. The coupling equations are solved with finite element method. This paper focuses on the effects of porosity, permeability, and attenuation coefficient on the temperature and flow rate within the AP. The results consider artery wall thickness on heating of AP by FU. In addition, this study qualitatively analyzed the differences among the Pennes, TWMBT, and porous media heat conduction equations. The results show that the temperature responses of biological tissues exhibits lagging behaviors, which are inherently related to the physical time scale. Because of the disparities in the physical characteristics of the target and surrounding tissues, fluid flow within AP can have an impact on the distribution of tissue temperature, the direction of flow between solid tissues is determined by the permeability coefficient and ultrasonic intensity. The permeability coefficient, frequency and attenuation coefficient have a significant effect on the fluid flow within AP. Both heat dissipation and heat convergence are characteristics of fluid flow within the tissue, the focal location and the physical property parameters may affect the fluid heat dissipation and heat collection properties within the tissue. Furthermore, the temperature peak may not occur at the focus. The model can provide an analytical template for different types of precise thermal ablation AP, including radiofrequency ablation, microwave therapy, and laser ablation besides FU ablation, and can also provide a case for adjunctive drug transport.
作者机构：
[Lin, Wenbin; Jiang, Chunhua; Yang, Bo; Lin, WB] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Yang, Bo] Chinese Acad Sci, Purple Mt Observ, Nanjing 210023, Peoples R China.
通讯机构：
[Lin, WB ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
关键词：
Black holes;Regular Simpson-Visser black-bounce spacetime;Periastron advance
摘要：
In this paper, we present the second post-Newtonian solution for the quasi-Keplerian motion of a test particle in the regular Simpson-Visser black-bounce spacetime which has a bounce parameter $a$. The obtained solution is formulated in terms of the orbital energy, angular momentum, and the bounce parameter of the black hole. We explicitly analyze the leading effects of the bounce parameter, which has dimensions of length, on the test particle's orbit, including the periastron advance and orbital period. Then, we apply this model to the precessing motion of OJ 287 and determine the upper limits of the dimensionless bounce parameter as $a/m =3.45\pm 0.01$, where $m$ is the mass of the regular black hole. Compared with the bound given by the periastron advance of star S2, our bound on $a/m$ is reduced by one order of magnitude, although our upper limit of $a$ still needs further improvement.
作者机构：
[Lin, Wenbin; Lin, WB] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Lin, Wenbin; Lin, WB] Southwest Jiaotong Univ, Sch Phys Sci & Technol, Chengdu 610031, Peoples R China.
通讯机构：
[Lin, WB ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;Southwest Jiaotong Univ, Sch Phys Sci & Technol, Chengdu 610031, Peoples R China.
关键词：
post-Newtonian approximation;gravitomagnetic field;second gravitational potential;spherically-symmetric system
摘要：
We prove that the post-Newtonian time-dependent metric of the self-gravitating and collapsing infinitely-thin spherical shell does satisfy Einstein field equations to the corresponding order. Meanwhile, the leading-order components of the thin spherical shell's energy-momentum tensor are recovered.
期刊：
Nuclear Engineering and Design,2025年433:113872 ISSN：0029-5493
通讯作者：
Liu, HL
作者机构：
[Liu, Hongliang; Ouyang, Zigen; Liu, HL; Liu, Wangheng] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Zeng, Wenjie] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Liu, Hua] Univ South China, Sch Elect Engn, Hengyang 421001, Peoples R China.
通讯机构：
[Liu, HL ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
关键词：
Adaptive learning observer;Radial basis function neural networks;Fixed-time fault-tolerant control;Control rod drive mechanism faults;Load following for modular high-temperature;gas-cooled reactor
摘要：
Load following of the Modular High-Temperature Gas-Cooled Reactor (MHTGR) under Control Rod Drive Mechanism (CRDM) faults and disturbances remains a major challenge. This paper focuses on proposing a fixed-time fault-tolerant control method for this issue without considering the sensitivities associated with parameter setting. Firstly, to reconstruct some unmeasurable states of the MHTGR and the values of CRDM faults, an adaptive learning observer is established. Based on the learning characteristic of Radial Basis Function Neural Networks (RBFNN), the lumped uncertainties can be approximated. And then a fixed-time fault-tolerant controller is developed to ensure that the actual load output of the MHTGR actually tracks the expected output power within a fixed time, which can be determined through the system and controller parameters. Finally, simulations under two operational conditions demonstrate the control method is effective and feasible to the MHTGR system under disturbance and CRDM faults.
Load following of the Modular High-Temperature Gas-Cooled Reactor (MHTGR) under Control Rod Drive Mechanism (CRDM) faults and disturbances remains a major challenge. This paper focuses on proposing a fixed-time fault-tolerant control method for this issue without considering the sensitivities associated with parameter setting. Firstly, to reconstruct some unmeasurable states of the MHTGR and the values of CRDM faults, an adaptive learning observer is established. Based on the learning characteristic of Radial Basis Function Neural Networks (RBFNN), the lumped uncertainties can be approximated. And then a fixed-time fault-tolerant controller is developed to ensure that the actual load output of the MHTGR actually tracks the expected output power within a fixed time, which can be determined through the system and controller parameters. Finally, simulations under two operational conditions demonstrate the control method is effective and feasible to the MHTGR system under disturbance and CRDM faults.
摘要：
This paper presents a Respiratory Syncytial Virus (RSV) epidemic model for a continuous human population of super-spreading infected individuals. The model uses a generalized fractal-fractional derivative with the Mittag-Leffler function to analyze transmission, considering different infection stages, and demonstrates the effectiveness of certain individuals as viral spreaders. Using linear growth and Lipschitz requirements, the study determines the existence, uniqueness, positiveness, and boundedness of a proposed fractional-order system in order to assess its viability. The global stability of equilibrium points is verified by the Lyapunov function, and the effects of the model's parameters are investigated through sensitivity analysis. To comprehend the model's behavior and create preventative measures for infected people, a numerical simulation of its activity is also carried out. By offering a more realistic depiction of virus behavior at various dimensions and population effects, the fractal-fractional model enhances comprehension and forecasts. The results highlight the importance of fractional order and its fitting function in the model by demonstrating how input parameters affect the dynamic behavior of RSV infection. Such an investigation will aid in understanding the behavior of the RSV and develop prevention measures for infected individuals.
摘要：
In this paper, we give six classes of permutation polynomials of the form $ (x^{2^m}+x+\delta)^s+ax $ over $ \mathbb{F}_{2^{2m}} $ and six classes of permutation polynomials of the form $ (x^{p^m}-x+\delta)^s+ax^{p^m}+a^{p^m}x $ over $ \mathbb{F}_{p^{2m}} $ ($ p $ being an odd prime), respectively. In addition, we also investigate permutation polynomials obtained from piecewise functions. Consequently, we find some complete permutation polynomials.
期刊：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2025年2025(64) ISSN：1072-6691
通讯作者：
Liu, HL
作者机构：
[Zhou, Yao; Liu, Hongliang; Liu, HL] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Liu, HL ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
Singular perturbed;second order delay lattice system;uniform attractor;upper semicontinuity;continuous process;almost periodic function
摘要：
. In this article, we consider the upper semicontinuity of the uniform attractors for the singular perturbed second order nonautonomous delay lattice systems driven by the almost periodic forces as the coefficient of second order derivative term tends to zero under the Hausdorff semidistance. First we prove the existence of uniform attractors for the second order and the corresponding first order nonautonomous delay lattice systems. Then we establish some prior uniform estimations of solutions. Finally we study the upper semicontinuity of the uniform attractors as the coefficient of second order derivative term tends to zero which showing the relationship between the uniform attractors for second order and the corresponding first order nonautonomous delay lattice systems.
作者机构：
[Wenbin Lin] School of Mathematics and Physics, University of South China, Hengyang, China;[Zhixin Sun] School of Computer Science, University of South China, Hengyang, China
会议名称：
2025 5th International Conference on Artificial Intelligence and Industrial Technology Applications (AIITA)
会议时间：
28 March 2025
会议地点：
Xi'an, China
会议论文集名称：
2025 5th International Conference on Artificial Intelligence and Industrial Technology Applications (AIITA)
关键词：
Four-Player Military Chess;Neural-Guided MCTS;Imperfect-Information Games;Multi-Agent Strategy
摘要：
This paper introduces Deep Monte Carlo (DMC), a neural-enhanced algorithm designed for mastering Four-Player Military Chess, a complex imperfect-information game characterized by dynamic alliances and hierarchical combat mechanics. The proposed framework integrates three key components through a lightweight multi-branch neural network: a 17×17×8 tensor encoding spatial unit distributions, terrain features, and multi-scale threat maps; a 64-dimensional action vector representing move parameters and combat outcomes; and an 8-step historical sequence processed via bidirectional LSTM for temporal reasoning. These inputs are fused through convolutional blocks and attention mechanisms to drive Monte Carlo Tree Search (MCTS) optimization. Key innovations include a railway path validation algorithm enabling efficient route planning, an action masking layer ensuring 98.3% legal move compliance, and a history compression technique that reduces LSTM computation overhead by 45%. Extensive evaluation across 100,000 adversarial matches demonstrates DMC's superiority, achieving an 84.7% win rate against rule-based MCTS-Basic agents and 98.2% against random agents.
作者机构：
[Fan, Chenzhou; Wang, Tianlin] Univ South China, Sch Civil Engn, Hengyang 421001, Peoples R China.;[Xu, Feng; Xu, F; Guo, Changqing] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Xu, F ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
关键词：
Foundation excitation;Gap constraint;Fluid-conveying pipe;Impact vibration
摘要：
In practical engineering, the unilateral gap constraint impact vibration in fluid-conveying pipes is a critical concern, often arising from constraint loosening or the presence of barriers around the pipe. These factors can significantly affect the service life and safety reliability of the pipes. A tension and compression anisotropy spring with rapidly increasing restoring force in compression but almost zero restoring force in tension is proposed to simulate the unilateral gap constraint, model a fluid-conveying pipe with a Pfluger column. Its reliability is also verified based on the bifurcation phase diagram comparison between the small and large stiffness conditions. Subsequently, we establish a vibration mechanics analysis model for the cantilever fluid-conveying pipe under foundation excitation to assess the effects of basic excitation frequency, fluid velocity, distributed follower force, position coordinate of unilateral gap constraint, and the viscoelastic coefficient on the impact vibration stability of the fluid-conveying pipe. Our findings reveal that when the period-doubling bifurcation sequence is interrupted by Bare-grazing bifurcation, the system directly transitions into chaotic vibration or induces a new period-doubling bifurcation sequence, followed by re-entry into chaotic vibration. These results provide valuable insights into the intricate dynamics of fluid-conveying pipes under foundation excitation, offering a deeper understanding of the impact of various parameters on the pipe's vibration.
In practical engineering, the unilateral gap constraint impact vibration in fluid-conveying pipes is a critical concern, often arising from constraint loosening or the presence of barriers around the pipe. These factors can significantly affect the service life and safety reliability of the pipes. A tension and compression anisotropy spring with rapidly increasing restoring force in compression but almost zero restoring force in tension is proposed to simulate the unilateral gap constraint, model a fluid-conveying pipe with a Pfluger column. Its reliability is also verified based on the bifurcation phase diagram comparison between the small and large stiffness conditions. Subsequently, we establish a vibration mechanics analysis model for the cantilever fluid-conveying pipe under foundation excitation to assess the effects of basic excitation frequency, fluid velocity, distributed follower force, position coordinate of unilateral gap constraint, and the viscoelastic coefficient on the impact vibration stability of the fluid-conveying pipe. Our findings reveal that when the period-doubling bifurcation sequence is interrupted by Bare-grazing bifurcation, the system directly transitions into chaotic vibration or induces a new period-doubling bifurcation sequence, followed by re-entry into chaotic vibration. These results provide valuable insights into the intricate dynamics of fluid-conveying pipes under foundation excitation, offering a deeper understanding of the impact of various parameters on the pipe's vibration.
作者机构：
[Wang, Hongyong] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Ou, Chunhua; Ou, CH] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
通讯机构：
[Ou, CH ] M;Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
关键词：
Lotka-Volterra competition system;gap formation;forced pulsating waves;spreading dynamics;shifting media
摘要：
We study the propagation dynamics of a Lotka-Volterra competition system in which one growth rate behaves like a monotonically decreasing wave profile that shifts with a given speed and is also periodic in the first spatial variable, while the other growth rate behaves similarly, except that its profile is monotonically increasing with respect to the shifting variable. Furthermore, both growth functions are assumed to be sign-changed, which implies that the environments in which the species live switch spatially from 'good' regions (suitable for survival) to 'bad' regions (not suitable for survival) and vice versa. We reveal that the model admits a forced pulsating wave only when the forced speed lies within a finite interval (c & lowast;,c(& lowast;)) that contains zero. Biologically, this corresponds to the formation of a shifting cline. Moreover, we find that c(& lowast;)<0 and c(& lowast;)>0 can be calculated in terms of the Fisher-KPP speeds related to the linearized equations of each species. By applying a sliding technique, we show that the forced pulsating wave is unique. We also prove that the forced pulsating wave is Lyapunov-stable. Finally, the spreading dynamics of spatial gap formation in the two species are also investigated when the forced wave speed is either less than c(& lowast;) or greater that c(& lowast;). We employ a novel approach to demonstrate how the species invade in response to a shifting environment.
摘要：
The nonlinear vibrations developing in sheets and strips during rolling are of practical technological importance and of theoretical interest. However, the existing numerical methods adopted in research are plagued by problems such as computational inefficiency, difficulty in dealing with bifurcations, slow convergence and frequency cancellations. This study develops an analytical method for solving the problem of rolled strip quasi-periodic motions in the resonant state. First, the conventional incremental harmonic balance method is used to analyze the periodic response of a strip. Its nonlinear frequency response curve is obtained and the type of bifurcation along with its location is determined. Second, the quasi-periodic motion spectrum of the strip is characterized utilizing the fact that the adjacent frequencies in the side bands are equidistant from each other and contain two incommensurable fundamental frequencies. The fundamental frequencies of the strip quasi-periodic motion, as well as all of the frequency components and their corresponding amplitudes, are accurately resolved, especially the quasi-periodic motion response near the critical point. Finally, several numerical examples of the nonlinear vibrations exhibited by the rolled strip in the presence of internal resonance are investigated in depth to validate the proposed method performance and accuracy. These examples are concerned with the internal resonance with an even inherent frequency ratio of 1:6, which may arise during the rolling process, but remains relatively unexplored. The newly proposed method will add to the arsenal of available analytical techniques, expanding the capabilities of both researchers and practicing engineers.
作者机构：
[Ouyang, Yanquan; Tang, Xian; Lv, Ruimin] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Cheng, Jinjuan] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Tang, X ] U;Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.
关键词：
Uranyl ions;NiAl-LDH/Sb;DFT;Adsorption
摘要：
In this work, the adsorption properties of uranyl ions (UO2) on the surfaces of two-dimensional metallic materials Sb, LDH, and NiAl-LDH/Sb are investigated using density functional theory (DFT). The computational results show that LDH/Sb has the best adsorption performance for UO2. The electronic structure, charge transfer, and electronic localization function analyses reveal that UO2 undergoes electronic orbital coupling with Ni and Sb of LDH/Sb and transfers the highest number of charges among the three substrates, which enables its stable adsorption. The dependence of adsorption rate on temperature was calculated, and it is concluded that the desorption temperature of uranyl ions on the surface of LDH/Sb is the highest at 570 K. The results indicate that NiAl-LDH/Sb is a good adsorbent material for uranyl ions and, therefore, has application prospects in uranium extraction from seawater.
作者机构：
[Cui Yu] Department of Electrical Engineering, University of South China, Hengyang, China;[Dan Du] Department of Mathematics and Physics, University of South China, Hengyang, China;[Xiaohui Gao] Department of Nuclear Science and Technology, University of South China, Hengyang, China;[Sheng Deng] Hefei Institutes of Physical Science Institute of Plasma Physics, Chinese Academy of Sciences, Heifei, China
会议名称：
2025 4th International Conference on New Energy System and Power Engineering (NESP)
会议时间：
25 April 2025
会议地点：
Fuzhou, China
会议论文集名称：
2025 4th International Conference on New Energy System and Power Engineering (NESP)
摘要：
This paper investigates the characteristics of helicon wave current drive (HCD) on the high-field-side and low-field-side of a spherical tokamak through numerical simulations. The simulations are based on the equilibrium configuration of the EXL-50U device, analyzing the current drive efficiency under different frequency, temperature, and density conditions. The results show that a helicon wave at 350 MHz can drive a significant current under the given temperature and density distribution. Under low-density conditions, the low-field-side HCD outperforms the high-field-side. However, as the electron density increases, the advantage of high-field-side HCD gradually emerges. Increasing the electron temperature is also beneficial for enhancing the total driven current. Additionally, although the driven current from the high-field-side injection is smaller, the radial current distribution is broader and shifts towards the plasma edge, which provides new insights for localized current drive control. This study offers theoretical support for the experimental design and optimization of helicon wave current drive in spherical tokamaks.
