Symmetry

Symmetry and Asymmetry in AI-Enabled Human-Centric Collaborative Computing

edited by

,

,

and

submission deadline 31 Dec 2025 | 8 articles | Viewed by 30744 | Submission Open

Keywords: symmetric learning frameworks; deep learning for symmetry; human-centric data management and balance/imbalance analysis; information diffusion and modelling in HCCC; deep learning for intelligent human computer interaction; symmetry/asymmetry network structure and community evolution analysis; human– cyber– physical interactions with symmetry/asymmetry; knowledge-driven human– computer interaction in cloud/edge; smart service quality optimization in HCCC; AI-enabled multi-agent systems in HCCC; AI-powered smart applications in HCCC

(This special issue belongs to the Section Computer)

Advanced Studies of Symmetry/Asymmetry in Cybersecurity

edited by Konglin Zhu and Pengcheng Wang

submission deadline 31 Dec 2025 | 11 articles | Viewed by 27375 | Submission Open

(This special issue belongs to the Section Computer)

Symmetry and Asymmetry in Medicinal Chemistry

edited by

Josef Jampilek

submission deadline 31 Dec 2025 | 6 articles | Viewed by 25884 | Submission Open

Keywords: Chirality; Drugs; Natural compounds; Synthesis; Analysis; Pharmacophore; Targets; In silico/in vitro/in vivo studies; Asymmetry in nanosciences; Legislation and guidelines; Chemical biology

(This special issue belongs to the Section Chemistry: Symmetry/Asymmetry)

Symmetry in Nonlinear Equations: Mathematical Models, Methods and Applications Ⅱ

edited by

Omar Bazighifan

submission deadline 31 Dec 2025 | 10 articles | Viewed by 20007 | Submission Open

Keywords: symmetry operators; mathematical modeling techniques; qualitative properties of solutions; oscillation theory; delay differential equations; ordinary differential/ difference equations; partial/functional equations; fractional differential and integral calculus; applications

(This special issue belongs to the Section Mathematics)

Symmetry Application in Motor Control in Sports and Rehabilitation

edited by

Arthur Ferreira

and

Fabio Vieira dos Anjos

submission deadline 31 Dec 2025 | 6 articles | Viewed by 18001 | Submission Open

Keywords: assessment of symmetry and its clinical relevance; body symmetry and the performance of activities of daily living; sports performance and symmetry; symmetry and sports injury prevention; fall prevention and symmetry in postural alignment and bodyweight distribution; role of sidedness; handedness; and footedness in motor control; effects of clinical interventions on symmetry in people with neurologic or musculoskeletal conditions

(This special issue belongs to the Section Life Sciences)

Symmetry in Computing Algorithms and Applications

edited by Lei Yue and

Jinhua Zhang

submission deadline 31 Dec 2025 | 9 articles | Viewed by 17112 | Submission Open

Keywords: symmetries of complex manufacturing systems; Artificial Intelligence (AI) in production scheduling; fuzzy computing; data analytics for manufacturing; cloud computing for manufacturing; predictive maintenance; real-time monitoring and control; supply chain optimization; computing applications; smart decision support for industry

(This special issue belongs to the Section Computer)

Data Driven and Intelligent Aerospace and Robotics Systems

edited by

,

,

and

submission deadline 31 Dec 2025 | 6 articles | Viewed by 16369 | Submission Open

(This special issue belongs to the Section Computer)

Symmetry in Classical and Quantum Gravity and Field Theory

edited by

Saeed Rastgoo

submission deadline 31 Dec 2025 | 6 articles | Viewed by 14994 | Submission Open

Keywords: classical and quantum gravity; quantum field theory; symmetry and group theory; classical and quantum cosmology; classical and quantum black holes lie groups; diffeomorphisms; constrained and gauge systems; path integral and BRST quantization

(This special issue belongs to the Section Physics)

Skewed (Asymmetrical) Probability Distributions and Applications Across Disciplines, Fourth Edition

edited by

Juan Carlos Castro-Palacio

,

Pedro José Fernández de Córdoba Castellá

,

Shufei Wu

and

Miguel Enrique Iglesias Martínez

submission deadline 31 Dec 2025 | 15 articles | Viewed by 14807 | Submission Open

Keywords: new applications and parameter interpretations of the main skewed distributions; parameter estimation and statistical developments; advances in modelling and simulations (i.e.; Monte Carlo sampling) of processes in mathematics; physics; chemistry; biology; and social sciences; efficient numerical methods to handle skewed distributions; skewed distributions and the modelling of infectious diseases; including COVID-19; the true meaning of skewed distributions in nature; skewed distributions in psychological and neurological sciences; non-normal distributions in biological and medical sciences; skewed distributions in describing social processes; the origin and fundamental interpretations of skewed distributions in mathematics; physics; chemistry; biology; and social sciences

(This special issue belongs to the Section Mathematics)

Mathematics: Feature Papers 2025

edited by

Calogero Vetro

submission deadline 31 Dec 2025 | 20 articles | Viewed by 13738 | Submission Open

Keywords: dynamical systems; mathematical physics; geometrical and topological methods; applied mathematics; discrete mathematics and graph theory; mathematical analysis

(This special issue belongs to the Section Mathematics)

Symmetry in Combinatorics and Discrete Mathematics

edited by

Takao Komatsu

submission deadline 31 Dec 2025 | 9 articles | Viewed by 13361 | Submission Open

Keywords: infinite or finite groups; semigroups; designs and configurations; enumerative combinatorics; determinants and permanents; combinatorial sequences

(This special issue belongs to the Section Mathematics)

Symmetry in Finite Element Modeling and Mechanics

edited by

Sina Niazi

and

Rodrigo C. V. Coelho

submission deadline 31 Dec 2025 | 8 articles | Viewed by 13275 | Submission Open

Keywords: theoretical and computational mechanics; finite element modeling; damage and fracture mechanics; geometric modeling; numerical methods; continuum mechanics; boundary conditions

(This special issue belongs to the Section Engineering and Materials)

Asymmetric Centers in Optically Active Molecules Containing a Heteroatom

edited by

György Keglevich

and

Péter Bagi

submission deadline 31 Dec 2025 | 4 articles | Viewed by 12299 | Submission Open

Keywords: organometallic syntheses; heteroatomic asymmetry center; P-stereogenic center; asymmetric syntheses; enantioselective syntheses; resolution of racemates; optically active ligands; chiral P-ligands; homogeneous catalysis; transition metal complexes; chiral auxiliaries; chiral catalysts

(This special issue belongs to the Section Chemistry: Symmetry/Asymmetry)

Three-Dimensional Dynamical Systems and Symmetry

edited by

Cristian Lazureanu

and

Dana Constantinescu

submission deadline 31 Dec 2025 | 8 articles | Viewed by 11960 | Submission Open

Keywords: mathematical models; continuous-time dynamical systems; discrete-time dynamical systems; time-delay dynamical systems; piecewise dynamical systems; fractional-order dynamical systems; symmetries; integrability; controllability; stability; special orbits (periodic orbits and limit cycles; homoclinic and heteroclinic orbits); bifurcations; chaotic behavior; numerical methods; numerical simulations

(This special issue belongs to the Section Mathematics)

Computational Mathematics and Its Applications in Numerical Analysis

edited by

Shufei Wu

and

Shou-Fu Tian

submission deadline 31 Dec 2025 | 10 articles | Viewed by 11661 | Submission Open

Keywords: computational mathematics for data science; applied mathematics in optimization problems; signal processing and mathematical images; scientific computing and algorithms; numerical analysis for problems arising in various fields

(This special issue belongs to the Section Mathematics)

Symmetry in Discrete and Combinatorial Geometry

edited by

Egon Schulte

and

Márton Hablicsek

submission deadline 31 Dec 2025 | 3 articles | Viewed by 11403 | Submission Open

Keywords: polyhedra and polytopes; polyhedra and crystallography; crystal nets; polyhedral graphs; and skeletal polyhedral structures; polyhedra and maps on surfaces; tiling; packing; and covering; soft packings; nested clusters; and condensed matter; symmetry groups and reflection groups; discrete point sets; abstract polytopes; polyhedral design

(This special issue belongs to the Section Mathematics)

Symmetries and Ultra Dense Matter of Compact Stars II: Emergence of Symmetries in Strong Nuclear Correlations

edited by

Mannque Rho

and Chihiro Sasaki

submission deadline 31 Dec 2025 | 6 articles | Viewed by 11378 | Submission Open

Keywords: superdense matter; topology changes; baryon parity-doublet symmetry; Cheshire cat mechanism; hadron-quark duality; emergent hidden symmetries; Weinberg’ s folk theorem; generalized Hohenberg-Kohn density functional; Landau– Migdal Fermi liquid; un-Fermi liquids; speed of sound; conformal symmetry; color superconductivity; neutron superfluidity

(This special issue belongs to the Section Physics)

Symmetry in Thermal Fluid Sciences and Energy Applications

edited by

Nattan Roberto Caetano

submission deadline 31 Dec 2025 | 5 articles | Viewed by 9680 | Submission Open

Keywords: thermal and fluid science; energy production and use; fuels and combustion; diagnostic techniques of measurement; analysis for decision making in industry

(This special issue belongs to the Section Engineering and Materials)

Symmetry/Asymmetry of Differential Equations in Biomathematics

edited by Liang Zhang, Junli Liu and Tailei Zhang

submission deadline 31 Dec 2025 | 7 articles | Viewed by 9399 | Submission Open

Keywords: differential equations; dynamical systems; symmetry/asymmetry; population model; epidemic model; dynamical behavior; simulation

(This special issue belongs to the Section Mathematics)

Symmetry in Mathematical Analysis and Functional Analysis: 3rd Edition

edited by

Octav Olteanu

and

Savin Treanta

submission deadline 31 Dec 2025 | 8 articles | Viewed by 8726 | Submission Open

Keywords: optimization; classical and generalized convexity; inequalities; extension of linear operators; sandwich conditions; moment problems; polynomial approximation; Banach lattices; self-adjoint operators; partial differential equations; dynamical systems; variational inequalities; evolutionary problems

(This special issue belongs to the Section Mathematics)

Computer-Aided Geometric Design and Matrices

edited by

Esmeralda Mainar

and

Antonio Falco

submission deadline 31 Dec 2025 | 4 articles | Viewed by 8611 | Submission Open

Keywords: matrices; total positivity; high relative accuracy; subdivision; splines and NURBS; shape analysis; isogeometric analysis; interpolation; approximation and smoothing; wavelets and multi-resolution methods; computer graphics; virtual design

(This special issue belongs to the Section Mathematics)

Symmetry in Nonlinear Partial Differential Equations and Rogue Waves

edited by

Natanael Karjanto

submission deadline 31 Dec 2025 | 4 articles | Viewed by 8290 | Submission Open

Keywords: nonlinear waves; coherent structures; the nonlinear Schrö dinger (NLS) equation; soliton on constant background; breathers; freak waves; rogue waves; extreme waves; wave packets; modulational instability; phase singularity; wavefront dislocation; variational formulation; maximum temporal amplitude; amplification factor; dissipation; surface gravity waves; nonlinear optics; superconductivity; plasma physics; Bose– Einstein condensates

(This special issue belongs to the Section Mathematics)

Symmetry and Asymmetry in Computer Vision and Graphics

edited by Yuanfeng Lian and Jian-wei Liu

submission deadline 31 Dec 2025 | 5 articles | Viewed by 8151 | Submission Open

Keywords: neural networks and deep learning; generative models; pre-training models; multimodal large models; cross-modal learning; object detection; tracking; and recognition; action recognition; three-dimensional reconstruction and rendering; computational geometry; shape analysis and retrieval; visualization and visual analysis; VR/AR/MR; digital twins; human– computer interaction; interactive machine learning; interactive embodied intelligence

(This special issue belongs to the Section Computer)

Symmetry in Numerical Analysis and Applied Mathematics

edited by

Mariusz Pleszczyński

,

Rafal Brociek

and

Giacomo Capizzi

submission deadline 31 Dec 2025 | 6 articles | Viewed by 7470 | Submission Open

Keywords: artificial intelligence methods; heuristic algorithms; computer mathematics; numerical analysis; mathematical modeling; numerical methods; differential; integral; and functional equations

(This special issue belongs to the Section Mathematics)

Discrete and Continuous Memristive Nonlinear Systems and Symmetry II

edited by

Shaobo He

,

Quan Xu

and

Chunlai Li

submission deadline 31 Dec 2025 | 3 articles | Viewed by 7408 | Submission Open

Keywords: chaos; nonlinear system; memristive system; fraction-order memristor; fractional-order memristive system; image encryption; neural network; brain-like computing; memristor based artificial intelligence; symmetry

(This special issue belongs to the Section Physics)

Advances in Mechanics of Rigid and Flexible Systems: Mathematical Models, Numerical Modelling, Experiments, Symmetry and Applications

edited by

Christian Iandiorio

and

Fabio Botta

submission deadline 31 Dec 2025 | 5 articles | Viewed by 7073 | Submission Open

Keywords: mechanics; mechanisms; flexible structures; finite element modelling; multibody dynamics; experimental mechanics

(This special issue belongs to the Section Engineering and Materials)

Symmetry/Asymmetry in Motor Control, Drives and Power Electronics

edited by

Mingyi Wang

and Qiang Tan

submission deadline 31 Dec 2025 | 3 articles | Viewed by 6668 | Submission Open

Keywords: motor; control; drive; power electronics; magnetic levitation; position detection; parameter identification

(This special issue belongs to the Section Computer)

Symmetry and Asymmetry Study in Object Detection

edited by Vladimir Brtka, Dragan Kukolj, Dragan M. Samardžija and

Velibor Ilic

submission deadline 31 Dec 2025 | 6 articles | Viewed by 6296 | Submission Open

Keywords: object detection; symmetry; asymmetry; computer vision; machine learning; pattern recognition; geometric properties; autonomous systems; robotics; medical imaging

(This special issue belongs to the Section Computer)

Applications Based on Symmetry and Asymmetry in Deep Learning and Artificial Intelligence Methods

edited by Changshuo Wang,

Zhijian Hu

and Meiqing Wu

submission deadline 31 Dec 2025 | 4 articles | Viewed by 5824 | Submission Open

Keywords: point cloud symmetry; neural network architecture; symmetry-aware feature learning; 3D shape analysis; computer vision symmetry; deep learning invariance; geometric deep learning; symmetry detection; vision transformers; symmetrical pattern recognition

(This special issue belongs to the Section Computer)

Symmetry in Mathematical Optimization Algorithm and Its Applications

edited by Zhe Sun

submission deadline 31 Dec 2025 | 6 articles | Viewed by 5514 | Submission Open

Keywords: combinatorial optimization; machine learning algorithm; heuristic algorithm; algorithm design; systems optimization and control; NP hard Problem optimization; parameter identification

(This special issue belongs to the Section Mathematics)

Recent Developments and Applications in Nonlinear Optics

edited by

Mustafa Bayram

submission deadline 31 Dec 2025 | 3 articles | Viewed by 5506 | Submission Open

Keywords: Lie symmetry analysis; optical soliton solutions; non-Kerr laws; integration methods; nonlinear Schrö dinger's equation

(This special issue belongs to the Section Physics)

Unraveling the Black Box: Unleashing the Power of Explainable Deep Learning in Advanced Engineering Sciences

edited by

Kelvin K. L. Wong

submission deadline 31 Dec 2025 | 3 articles | Viewed by 5275 | Submission Open

Keywords: Explainable Deep Learning (XDL); medical image analysis; non-destructive testing; multi-modal data integration; interpretable deep learning models; genomic data analysis; big data analytics; autonomous vehicles; smart infrastructure systems; engineering sciences; AI transparency; digital twin; human action recognition

Advances in Graph Theory Ⅱ

edited by Yuefang Sun

submission deadline 31 Dec 2025 | 6 articles | Viewed by 5094 | Submission Open

Keywords: symmetry; graph; digraph; hypergraph; structural graph theory; extremal graph theory; random graph theory; spectral and algebraic graph theory; chemical graph theory; topological graph theory; graph algorithms; complexity analysis

(This special issue belongs to the Section Mathematics)

Supersymmetry and Supersymmetric Field Theories

edited by

Vladimir K. Dobrev

submission deadline 31 Dec 2025 | 2 articles | Viewed by 4665 | Submission Open

Keywords: supergravity; superconformal field theories; supersymmetric objects; super integrable systems; AdS/CFT; relativistic and nonrelativistic holography; gauge super field theories; noncommutative quantum theories; supersymmetry in dynamical systems; supersymmetry in condensed matter and statistical physics

(This special issue belongs to the Section Physics)

Symmetry Fluid Dynamics in Materials and Metallurgical Processes

edited by

Chao Chen

and

Toshio Tagawa

submission deadline 31 Dec 2025 | 2 articles | Viewed by 4655 | Submission Open

Keywords: fluid dynamics; metallurgy; material processes; steelmaking; ladle refining; continuous casting; coppermaking; physical modeling; CFD

(This special issue belongs to the Section Engineering and Materials)

Trends and Prospects of Asymmetric and Symmetric Studies on Algorithms Optimizations

edited by

Dragan Ranđelović

and Jelena Misic

submission deadline 31 Dec 2025 | 2 articles | Viewed by 4499 | Submission Open

Keywords: symmetry; process optimization; optimization methods; machine learning; algorithm efficiency; model robustness; solution quality; interdisciplinary; economy; social activity; medicine; engineering

(This special issue belongs to the Section Computer)

Advances in Mathematical Models and Partial Differential Equations: 2nd Edition

edited by Yunhu Wang and

Manwai Yuen

submission deadline 31 Dec 2025 | 7 articles | Viewed by 4495 | Submission Open

Keywords: partial differential equation; mathematical method

(This special issue belongs to the Section Mathematics)

Advances in Perovskites: Growth, Characterization and Optoelectronic Devices

edited by Longxing Su

submission deadline 31 Dec 2025 | 2 articles | Viewed by 4381 | Submission Open

Keywords: inorganic perovskites; inorganic-organic hybrid perovskites; characterizations; lattice symmetric/asymmetric; stability; simulations/DFT calculations; photodetectors; solar cells; laser diodes; light-emitting diodes

(This special issue belongs to the Section Physics)

Symmetry in Reliability Engineering

edited by

Di Liu

, Cun Shi and Xiaoyu Cui

submission deadline 31 Dec 2025 | 3 articles | Viewed by 4354 | Submission Open

Keywords: prognostics and health management; failure mechanism analysis; degradation modeling; reliability estimation; fault-tolerant control; fault diagnosis; health management; network reliability analysis; maintenance strategy; digital twins

(This special issue belongs to the Section Engineering and Materials)

Symmetry/Asymmetry and Novel Nanomaterials: Preparation, Characterizations, and Applications

edited by

Fariborz Tavangarian

submission deadline 31 Dec 2025 | 2 articles | Viewed by 4178 | Submission Open

(This special issue belongs to the Section Engineering and Materials)

Advances in Nonlinear Systems and Symmetry/Asymmetry

edited by

Nannan Zhao

and Zhongkui Sun

submission deadline 31 Dec 2025 | 4 articles | Viewed by 4098 | Submission Open

Keywords: nonlinear systems; coupled oscillators; complex networks; complex systems; synchronization; pattern formation; phase transitions

(This special issue belongs to the Section Mathematics)

Lorentz Invariance Violation and Space–Time Symmetry Breaking

edited by

Bo-Qiang Ma

and

Chengyi Li

submission deadline 31 Dec 2025 | 2 articles | Viewed by 3708 | Submission Open

Keywords: Lorentz invariance violation; CPT symmetry violation; spontaneous symmetry breaking; space– time symmetries; quantum gravity; phenomenology of physics beyond the standard model; astroparticle physics and cosmology; test of Einstein's relativity

(This special issue belongs to the Section Physics)

Selected Papers: Symmetry 2025—The Fifth Edition of the International Conference on Symmetry

edited by

Sergei Odintsov

, Changzheng Qu and

Ji-Huan He

submission deadline 31 Dec 2025 | 4 articles | Viewed by 3561 | Submission Open

Keywords: physics; mathematics; chemistry; engineering; computer science; symmetry applications

Symmetry Study in Electromagnetism: Topics and Advances

edited by

Jinghua Ye

, Yinhong Liao and Wei Xiao

submission deadline 31 Dec 2025 | 3 articles | Viewed by 3037 | Submission Open

Keywords: electromagnetic symmetry; metamaterials; transformation optics; electromagnetic field manipulation; computational electromagnetics; electromagnetic device design; waveguides; antennas; symmetry in photonics; symmetry in materials science

(This special issue belongs to the Section Engineering and Materials)

Symmetry in Fractional Derivatives, Fractional Equations and Fractional Order Systems

edited by Xiaoling Han and Chenghua Gao

submission deadline 31 Dec 2025 | 4 articles | Viewed by 2941 | Submission Open

Keywords: fractional differential equations; delay differential equations; functional equations; partial differential equations; stochastic differential equations; integral equations; dynamical systems; applications of fixed-point theorems to nonlinear equations

(This special issue belongs to the Section Mathematics)

Advances in Optical and Electrical Integrated Circuits with Symmetry/Asymmetry

edited by

Kensuke Ogawa

submission deadline 31 Dec 2025 | 1 articles | Viewed by 2882 | Submission Open

(This special issue belongs to the Section Physics)

Advances in Multi-phase Flow: Symmetry, Asymmetry, and Applications

edited by Zhengwei Wang,

Xingxing Huang

,

Yongyao Luo

, Xijie Song and Wei Wang

submission deadline 31 Dec 2025 | 2 articles | Viewed by 2854 | Submission Open

Keywords: multi-phase flow; theoretical innovation; simulation techniques; experimental measurements; symmetric and asymmetric behaviour; industrial applications; micro- and nano-flow; cavitation; erosion; design optimization; risk reduction; performance and efficiency improvement; flow visualization; heat transfer; artificial intelligence; industrial digitization; digital twin; data-driven applications; physics-informed neural networks; HPC acceleration; GPU acceleration; laser doppler anemometry (LDA); particle image velocimetry (PIV); X-ray imaging; chemical processing; energy production; environmental sustainability; food engineering; biomedical sciences; pharmaceutical industry

(This special issue belongs to the Section Physics)

Advances in Topology and Algebraic Geometry

edited by

Susmit Bagchi

and

Daniele Ettore Otera

submission deadline 31 Dec 2025 | 2 articles | Viewed by 2734 | Submission Open

Keywords: general and algebraic topology; topological aspects of algebraic geometry; projective spaces; manifold topology; topological groups

(This special issue belongs to the Section Mathematics)

Symmetry, Asymmetry and Other Patterns in Structural Engineering with Its Application

edited by

Katarzyna Kubicka

submission deadline 31 Dec 2025 | 3 articles | Viewed by 2713 | Submission Open

Keywords: building structures; symmetry/asymmetry phenomena; computational methods; experimental methods; steel wood and concrete structures; structure geometry; symmetrical/asymmetrical load

(This special issue belongs to the Section Engineering and Materials)

Nuclear Symmetry Energy: From Finite Nuclei to Neutron Stars

edited by Martin Veselsky, George A. Souliotis,

Vlasios Petousis

and

Charalampos Moustakidis

submission deadline 31 Dec 2025 | 2 articles | Viewed by 2647 | Submission Open

Keywords: nuclear matter; nuclear symmetry energy; finite nuclei; exotic nuclei; nuclear fission; nuclear reactions; neutron stars; phase transition; hybrid stars

(This special issue belongs to the Section Physics)

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