Skip to Content
You are currently on the new version of our website. Access the old version .

Symmetry, Volume 18, Issue 7

2026 July - 178 articles

Cover Story: Phase transitions in strongly interacting matter at high baryon density are among the most fascinating phenomena in modern nuclear physics. Near the QCD critical point and the critical temperature of the color-superconducting phase transitions, large fluctuations of the corresponding order parameters generate collective excitations known as soft modes. This review presents a systematic account of soft-mode dynamics. We discuss how the diquark soft modes lead to the formation of a pseudogap above the color-superconducting transition and how critical fluctuations modify electromagnetic observables, such as electric conductivity and dilepton production. These phenomena may provide experimentally accessible signatures in relativistic heavy-ion collisions. View this paper
  • Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
  • You may sign up for email alerts to receive table of contents of newly released issues.
  • PDF is the official format for papers published in both, html and pdf forms. To view the papers in pdf format, click on the "PDF Full-text" link, and use the free Adobe Reader to open them.

Articles (178)

  • Article
  • Open Access
452 Views
29 Pages

22 July 2026

Mobile edge computing (MEC) enables resource-constrained user devices (UDs) to obtain low-latency computing services by offloading computational tasks to the network edge. Non-orthogonal multiple access-enabled mobile edge computing (NOMA-MEC) system...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
1,105 Views
26 Pages

22 July 2026

This study presents the Yang Transform Adomian Decomposition Method (YTADM), a semi-analytical framework for solving one-dimensional linear and nonlinear delay fractional partial differential equations involving the Caputo fractional derivative. The...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
758 Views
27 Pages

Heterogeneous Feature Integration for Class-Imbalanced Intrusion Detection in Grid Systems

  • Kai Cheng,
  • Dongkun Li,
  • Weidong Tang,
  • Lin Liu and
  • Xueyu Zhang

22 July 2026

Modern grid digitalization connects communication networks, monitoring terminals, service platforms, security devices, and operational data sources. Intrusion detection in this setting requires correlating heterogeneous security data with grid-side c...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
635 Views
40 Pages

Adaptive Bitterling Fish Optimization with Evolutionary Game Theory: For Cross-Regional Emergency Repair Path Planning

  • Shuangqing Chen,
  • Chao Chen,
  • Junfei Liu,
  • Xingwang Wang and ,
  • Zhe Xu,
  • Yongbin Liu,
  • Haibin Liang,
  • Lulu Zhang and
  • Yaqian Liu
  • + 4 authors+ 0 author

22 July 2026

Modern energy internets and large-scale industrial systems are becoming increasingly complex. Consequently, the rapid response capability of energy infrastructure during sudden failures has become a core element to ensure the stable operation of the...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
905 Views
23 Pages

An Efficient LBlock Lightweight Block Cipher Coprocessor on RISC-V: Combinational Key Schedule Fusion and S-Box-to-LUT Mapping

  • Jianxin Wang,
  • Runze Zhou,
  • Zixuan Wang,
  • Lei Zhang and ,
  • Chaoen Xiao,
  • Zhao Wang,
  • Maosheng He,
  • Qian Cheng and
  • Kaibo Sun
  • + 4 authors+ 0 author

22 July 2026

Resource-constrained Internet-of-Things (IoT) terminals require encryption engines that combine low silicon cost with adequate throughput, a balance that is hard to reach with general-purpose software alone. This paper presents an LBlock lightweight...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
425 Views
23 Pages

On the Sequential (p, δ, τ)-Numerical Radius Function of Operator Sequence

  • Zameddin I. Ismailov,
  • Pembe Ipek Al and
  • Mohammad Sababheh

22 July 2026

In this article, firstly, some basic properties of the sequential (p,δ,τ)-numerical radius function are investigated. The relationships between the sequential (p,δ,τ)-numerical radius of an operator sequence and the sequential (p,...

(This article belongs to the Special Issue Symmetry in Complex Analysis Operators Theory)
  • Article
  • Open Access
380 Views
25 Pages

22 July 2026

The two-dimensional thermal liquid jet of a non-Newtonian power-law fluid is investigated under shear-rate-dependent thermal diffusivity, resulting in a one-way coupled nonlinear system governing momentum and thermal transport. Two physically distinc...

(This article belongs to the Section F: Engineering and Materials)
  • Review
  • Open Access
516 Views
19 Pages

22 July 2026

Sport-related concussion (SRC) rehabilitation has advanced toward active, multidomain management, yet recovery may still be judged largely through symptom resolution and broad clinical indicators that may not fully capture persistent functional defic...

(This article belongs to the Special Issue Biofeedback Applications and Symmetry in Rehabilitation, Sports and Ergonomics)
  • Article
  • Open Access
592 Views
34 Pages

21 July 2026

The intricate nature of multi-class histopathological images, combined with pronounced class imbalances, complicates automated breast cancer diagnosis and demands AI models capable of generalizing well beyond often limited training data. To address t...

(This article belongs to the Special Issue Symmetry and Asymmetry in Image Classification)
  • Article
  • Open Access
424 Views
22 Pages

21 July 2026

During the radial braiding process, spindle motion induces periodic load excitations as they move with the turntable. Based on the kinematics analysis of the spindles, this study derives a tension-load torque mapping model and establishes a multi-deg...

(This article belongs to the Section F: Engineering and Materials)
  • Hypothesis
  • Open Access
436 Views
42 Pages

21 July 2026

Brain lateralization is a biological asymmetry in which a bilaterally organized nervous system develops direction-specific functional organization. This hypothesis distinguishes gravity-driven physical symmetry reduction from informational symmetry b...

(This article belongs to the Section E: Life Sciences)
  • Article
  • Open Access
5 Citations
631 Views
56 Pages

21 July 2026

The charged-lepton masses are free Yukawa-sector parameters in the Standard Model, whereas their measured pole-mass ratios display a highly structured hierarchy and satisfy the Koide relation to notable accuracy. This paper develops a conditional mat...

(This article belongs to the Section C: Physics)
  • Article
  • Open Access
7 Citations
1,324 Views
21 Pages

21 July 2026

Understanding how landscape form influences inundation severity remains central to flood hazard assessment, yet many assumed relationships lack empirical scrutiny. We investigated whether five topographic attributes—elevation, slope, topographi...

(This article belongs to the Special Issue Symmetry/Asymmetry in Remote Sensing and Applications)
  • Article
  • Open Access
536 Views
77 Pages

20 July 2026

We develop an operator-theoretic framework for extreme events in reflexive financial systems, identifying inverse evolution—the deterministic contraction of the manifold of admissible futures—as the structural mechanism underlying crashes...

(This article belongs to the Special Issue Symmetry and Approximation Methods, 3rd Edition)
  • Article
  • Open Access
513 Views
23 Pages

Symmetry-Aware Collaborative Attention Network for Robust Weak Seismic Phase Picking

  • Yunpeng Wang,
  • Qing Li,
  • Chao Zhang,
  • Yatong Bai and ,
  • Xiaofei Du,
  • Jianfeng Wang and
  • Yuda He
  • + 2 authors+ 0 author

20 July 2026

Reliable seismic phase picking is essential to earthquake monitoring, as it fundamentally affects earthquake location and source inversion. In challenging field conditions, nonstationary waveforms, diverse morphological features and intense backgroun...

(This article belongs to the Special Issue Symmetry in Artificial Intelligence and Machine Learning: Current Advances)
  • Article
  • Open Access
1 Citations
484 Views
46 Pages

20 July 2026

Automated and accurate segmentation of retinal vessels in fundus images provides pivotal evidence for ophthalmologists to effectively and non-invasively diagnose prevalent ocular and systemic diseases. However, existing methods often struggle to main...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
1 Citations
540 Views
23 Pages

20 July 2026

In this paper, we introduce new geometric properties of analytic functions by utilizing the fractional integral operator associated with the Mittag-Leffler function. Specifically, we establish several framework criteria under which strong differentia...

(This article belongs to the Special Issue Symmetry and Its Applications in Complex Analysis by the Means of Special Functions)
  • Article
  • Open Access
1 Citations
1,807 Views
29 Pages

20 July 2026

Symbolic execution of embedded systems faces path explosion, Satisfiability Modulo Theories (SMT) solver bottlenecks, interrupt nondeterminism, and environment modeling complexity. Recent artificial intelligence (AI)-guided approaches using reinforce...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
464 Views
26 Pages

A Sign-Symmetric Reformulation of the Hassanat Distance for Data with Negative Feature Values

  • Mohammad Saad Alaydaa,
  • Gaseb N. Alotibi,
  • Ahmad S. Tarawneh and
  • Ahmad B. Hassanat

20 July 2026

The Hassanat Distance (HasD) is a bounded, non-convex metric widely used in k-nearest-neighbor (KNN) classification for its robustness to noise, outliers, and heterogeneous feature scales. Its definition, however, breaks a natural symmetry: through a...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
536 Views
17 Pages

20 July 2026

Let P be a finite commutative ring with identity, and let Z(P) denote the set of its zero-divisors. The extended zero-divisor graph of P, denoted by Γ˜(P), is the undirected simple graph with vertex set Z(P)*=Z(P)∖{0}, where two dis...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
511 Views
30 Pages

20 July 2026

The solid-phase volume fraction is a core process parameter that determines the mixing quality of high-viscosity polyurethane adhesives. It exhibits complex nonlinear couplings with mixing homogeneity, rheological properties, and energy consumption....

(This article belongs to the Section F: Engineering and Materials)
  • Article
  • Open Access
764 Views
29 Pages

20 July 2026

The transition toward Industry 4.0 requires the integration of technologically viable hardware–software–intelligence solutions into existing industrial infrastructures to enable smart and autonomous production systems. Thus, Industry 4.0...

(This article belongs to the Topic Artificial Intelligence in Intelligent Control, Robotics, and Manufacturing)
  • Editorial
  • Open Access
405 Views
6 Pages

Special Issue: New Power System and Symmetry

  • Yongji Cao,
  • Runjia Sun,
  • Rui Wang and
  • Jin Tan

20 July 2026

Global challenges such as fossil energy depletion, environmental pollution, and climate warming are driving the rapid development of renewable energy sources (RESs), including wind power and photovoltaics [...]

(This article belongs to the Special Issue New Power System and Symmetry)
  • Article
  • Open Access
827 Views
27 Pages

20 July 2026

Text image super-resolution aims to improve the readability of low-quality text images while preserving character structures, stroke details, and semantic consistency. Compared with natural image super-resolution, this task is more sensitive to struc...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
444 Views
25 Pages

Research on a Fault-Diagnosis Method for Heavy-Duty Bearings of Thin Coal-Seam Shearers

  • Minghao Li,
  • Shuting Wang,
  • Xiao-Guang Zhang,
  • Xiaoxu Yi and
  • Dongsheng Wu

19 July 2026

Aiming at the problems of fault samples being difficult to obtain in fault diagnosis research on heavy-duty bearings of thin-seam shearers and the insufficient diagnostic performance of existing methods under small-sample conditions, this study focus...

(This article belongs to the Section F: Engineering and Materials)
  • Article
  • Open Access
481 Views
12 Pages

19 July 2026

The Picasso triggerfish Rhinecanthus aculeatus is common in Indo-Pacific coral reefs, yet quantitative data on intraspecific morphological variation and developmental stability of its caudal peduncle spines remain limited, especially in the South Chi...

(This article belongs to the Section E: Life Sciences)
  • Article
  • Open Access
483 Views
31 Pages

19 July 2026

Environmental protection has become a key priority for the Chinese government. This study examined the symmetric complementarity of spatial layouts between inter-city high-speed rail and urban subway systems. Their co-location formed a structurally s...

(This article belongs to the Special Issue Symmetry/Asymmetry in Complex Systems and Smart Cities)
  • Article
  • Open Access
325 Views
23 Pages

19 July 2026

Accurately estimating the incubation period of emerging infectious diseases, defined as the time interval from infection to symptom onset, is essential for informing quarantine strategies and allocating public health resources. To address the challen...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
442 Views
23 Pages

19 July 2026

The roll equation of a port–starboard symmetric ship is a clean physical realization of an order-two reflection (Z2)-equivariant nonlinear oscillator: odd restoring and damping make the upright state a symmetric equilibrium whose two angles of...

(This article belongs to the Section F: Engineering and Materials)
  • Article
  • Open Access
403 Views
26 Pages

18 July 2026

Continuous-variable quantum secret sharing (CVQSS) distributes a secret key among multiple players while requiring their cooperation for reconstruction. Its performance deteriorates rapidly in sequential multiparty links because optical loss, excess...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
1 Citations
493 Views
22 Pages

Impact of Symmetry Reduction and Boundary Conditions on Fuel Assembly Neutronics in Monte Carlo Simulations

  • Nguyen Huu Tiep,
  • Hae-Yong Jeong,
  • Hoai-Nam Tran,
  • Nguyen Ngoc Anh and
  • Nguyen Xuan Mung

18 July 2026

Symmetry-based domain reduction is widely applied in Monte Carlo reactor physics to reduce computational cost using reflective, white, and periodic boundary conditions. In lattice physics analyses, simulations based on minimum symmetric domains are o...

(This article belongs to the Special Issue Applications Based on Symmetry in Reactor Physics)
  • Article
  • Open Access
467 Views
19 Pages

17 July 2026

Equivariant graph neural networks encode the E(3) symmetries that molecular force fields must obey, yet they are often trained against geometric objectives whose own symmetry is rarely examined. We develop a symmetry-sensitive diagnostic protocol tha...

(This article belongs to the Special Issue Structural Evolution and Key Supporting Technologies of Power Systems with an Ultra-High Proportion of Renewable Energy Integration)
  • Article
  • Open Access
394 Views
31 Pages

A New Canonical Type II Unitary Weibull–H Family of Distributions with Applications to Lifetime, Reliability, and Survival Data

  • Sulafah M. S. Binhimd,
  • Zakiah I. Kalantan,
  • Samah A. El-Taweel,
  • Asmaa A. Ahmed and ,
  • Amira E. Albadwy,
  • Abeer A. EL-Helbawy and
  • Mervat K. Abd Elaal
  • + 2 authors+ 0 author

17 July 2026

Selecting an appropriate statistical model to describe lifetime data with heterogeneous characteristics poses a considerable challenge due to the diverse distributional features exhibited by real-world datasets. One effective way to address this chal...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
526 Views
39 Pages

17 July 2026

The rapid deployment of sixth-generation (6G) Internet of Things (IoT) networks demands lightweight authentication mechanisms that provide low latency, high scalability, and robust security for resource-constrained devices operating in dynamic wirele...

(This article belongs to the Special Issue Applications Based on Symmetry in Cryptography and Information Security)
  • Article
  • Open Access
549 Views
25 Pages

17 July 2026

Image-based malware classification converts binary software into visual representations, enabling deep visual models to be used for malware family recognition. However, reliable family-level annotation remains labor-intensive and expert-dependent, ma...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
37 Citations
759 Views
18 Pages

Revisiting Ramanujan’s Master Theorem

  • Manuel Duarte Ortigueira and
  • Gabriel Bengochea

17 July 2026

Ramanujan’s master theorem is considered to express particular values of the Liouville fractional derivatives. This fact is used to immediately obtain generalizations. Firstly, it is shown that the original formulation is suitable only for anti...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
1 Citations
641 Views
31 Pages

17 July 2026

Regression testing is a critical activity for maintaining software quality by identifying faults and ensuring system reliability. However, in large-scale software systems, executing all available test cases within limited time and computational resou...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
505 Views
22 Pages

A Nonlinear Hoek–Brown Criterion for Bedded Rock with Brittle–Ductile Transition

  • Zefan Wang,
  • Shaoming Ouyang,
  • Xiaoli Liu,
  • Chengwen Wang and ,
  • Yanjie Feng,
  • Tao Wei,
  • Zhihui He and
  • Long Li
  • + 3 authors+ 0 author

17 July 2026

The conventional Hoek–Brown (H–B) failure criterion does not explicitly account for the combined effects of anisotropy and high confining pressure on rock strength. In bedded rocks, anisotropic mechanical behavior arises from the orientat...

(This article belongs to the Special Issue Asymmetry and Nonlinearity in Geotechnical, Soil and Rock Engineering: Modelling, Mechanisms and Applications)
  • Article
  • Open Access
425 Views
23 Pages

Theoretical Analysis of Harmonic Suppression Mechanism and Effective Operating Boundaries of the Vector-Symmetry-Based Phase Shift Strategy for Current Reconstruction

  • Qingbo Guo,
  • Lei Yang,
  • Chen Yang,
  • Yuchuan Lin and ,
  • Wei Cai,
  • Chaoyu Zhang,
  • Chengming Zhang and
  • Tongfei Sheng
  • + 3 authors+ 0 author

17 July 2026

In AC motor field-oriented control systems, employing a single DC-bus current sensor with a phase-shifting strategy can effectively reduce system complexity and hardware costs. The vector-symmetry-based phase shift (VSPS) strategy has been shown to o...

(This article belongs to the Special Issue Symmetry/Asymmetry in Motor Control, Drives and Power Electronics)
  • Article
  • Open Access
545 Views
28 Pages

16 July 2026

After an earthquake or major traffic accident, emergency rescue vehicles may be unable to access the accident site or communicate with the survey drones at the scene. In such cases, an emergency rescue vehicle can select any nearby drone as a communi...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
660 Views
32 Pages

16 July 2026

Noisy channels alter the information on qubits transmitted through them, thereby significantly reducing communication fidelity. While most quantum error correction protocols employ a high number of redundant systems, we present a redundancy-based rou...

(This article belongs to the Special Issue Applications Based on Symmetry in Quantum Computing)
  • Article
  • Open Access
537 Views
24 Pages

16 July 2026

Exact solutions of the Navier–Stokes equations are derived for three startup flows in a right-angled isosceles triangular channel: Couette flow driven by impulsive motion of the hypotenuse, Couette flow driven by impulsive motion of one leg, an...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
511 Views
22 Pages

3D Reconstruction of UAV Building Point Clouds via Corner Detection Based on Line Symmetric Bilateral Point Distribution Features

  • Bin Xiao,
  • Wei Xuan,
  • Jinsong Gao,
  • Aijun Li and ,
  • Xintao Yang,
  • Kui Gao,
  • Xijiang Chen and
  • Nianlong Han
  • + 3 authors+ 0 author

16 July 2026

Reconstructing 3D building models from point clouds acquired by UAV sensors remains challenging due to irregular building geometries and sensor noise. This paper proposes an unsupervised, geometry-oriented reconstruction method based on the line-symm...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
428 Views
17 Pages

16 July 2026

In a digital watermarking technology system, robustness, imperceptibility and payload capacity are the three core performance indicators that restrict one another. How to achieve the optimal balance between the three is still the key scientific chall...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
1 Citations
497 Views
24 Pages

16 July 2026

This study proposes a hybrid deep learning model named LSTM-CBAM-Time2Vec-KAN based on symmetry awareness and optimized multi-module collaborative features, aiming to improve the accuracy and stability of stock price prediction. To address common sho...

(This article belongs to the Special Issue 2025 9th International Conference on Electronic Information Technology and Computer Engineering)
  • Article
  • Open Access
653 Views
25 Pages

16 July 2026

To address contactless delivery and fully account for customers’ expected delivery time preferences, this paper presents a mixed-integer programming model for minimizing truck–drone cooperative delivery costs. The model takes truck stoppi...

  • Article
  • Open Access
412 Views
33 Pages

15 July 2026

3D printing has become a revolutionary technology, and one of its major advances is the ability to continuously print objects with carbon-fiber-reinforced composites. However, to meet engineering requirements, material selection requires compromises...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
545 Views
28 Pages

Enhanced Intentional Controlled Islanding in Power Systems Using Constrained Spectral Clustering with Data Amelioration and Dynamic Validation

  • Francisco Rivas-Dávalos,
  • Paulina García-Peña,
  • Eduardo Cotilla-Sanchez,
  • Serguei Maximov and
  • Manuel Madrigal-Martínez

15 July 2026

Intentional Controlled Islanding (ICI) is a critical strategy for mitigating cascading failures and preventing large-scale blackouts in power systems. This paper proposes a novel ICI framework based on constrained spectral clustering (CSC), which int...

(This article belongs to the Special Issue Symmetry in Energy Systems and Electrical Power)
  • Review
  • Open Access
906 Views
15 Pages

15 July 2026

Wireless Internet-of-Things (IoT) data acquisition is an emerging instrumentation paradigm for nuclear and particle physics facilities, offering a flexible complement to established wired architectures based on VME, CAMAC, and OPC-UA. Despite growing...

(This article belongs to the Section C: Physics)
  • Article
  • Open Access
413 Views
28 Pages

15 July 2026

This study investigates the construction of confidence intervals for the common coefficient of variation (CV) of multiple delta-inverse Gaussian (delta-IG) distributions, which are suitable for modeling skewed and zero-inflated data. Existing methods...

(This article belongs to the Special Issue Skewed (Asymmetrical) Probability Distributions and Applications Across Disciplines, 5th Edition)

of 4

XFacebookLinkedIn
Symmetry - ISSN 2073-8994