Mathematical Modeling in Physical Sciences

International Scientific Committee
Preface
Contents
Mathematical Methods in Physical and Engineering Applications
Single and Multi-material Topology Optimization of Continuum Structures: ABAQUS Plugin
	1 Introduction
	2 Methodology
		2.1 Problem Statements
		2.2 Sensitivity Numbers
		2.3 Filter Scheme and Convergence Criterion
		2.4 Optimization Procedure
	3 Results
		3.1 Optimized Solid-Void Design
		3.2 Optimized Design with Non-zero Materials
		3.3 Optimized Design with Void and Two Materials
	4 Conclusions
	References
Adaptive Filtering of Distributed Data Based on Modeling the Perception Mechanisms of Living Sensory Systems
	1 Introduction
	2 Data Sampling Representation and NLN Encoding Model
	3 Conclusions
	References
A Method for Fast and Robust Sungular Spectrum Analysis
	1 Introduction
		1.1 Embedding
		1.2 Decomposition
		1.3 Reconstruction
		1.4 Forecast
	2 Robust SSA
	3 Fast Robust SSA
	4 Discussion
	References
An Algorithm for Non-negative Leslie Matrices
	1 Introduction and Preliminaries
	2 An Algorithms for Leslie and Companion Matrices …
	3 Doubly Leslie and Doubly Companion Matrices from Special Spectral Data
	4 Examples
	References
Statistical Approach to the Gompertz Growth Model and the Underlying Timescales
	1 Introduction
	2 Statistical Interpretation of the Gompertz Growth Model
		2.1 Preliminaries
		2.2 Gompertz Growth Model
	3 Concluding Comment
	References
On 4-dimensional Hom-Lie Algebras
	1 Introduction and Preliminaries
	2 On the Classification of Hom-Lie Algebras
	References
Optimal PD-PD and State Feedback Control of Underactuated Ball and Beam System with Uncertainty and Disturbances
	1 Background
	2 Methods
		2.1 Ball and Beam System Model
		2.2 Ball and Beam\'s System Optimization Using Different Methods
		2.3 Ball and Beam System Control Using PD Controller
		2.4 Optimized Cascaded PD-PD Through Genetic Algorithm
		2.5 Ball and Beam System Control Using State Feedback
	3 Results
		3.1 Comparing the Performance of Various Control Techniques on Ball and Beam System
		3.2 Comparing the Performance of Various Control Techniques on Ball and Beam System After Applying the Sine Wave
		3.3 Assessing the Impact of Disturbances on Performance Parameters in Ball and Beam Control System
		3.4 Analysis of Uncertainty Parameters in Ball and Beam Control System
		3.5 Comparing Beam Angle for Control Techniques on a Ball and Beam System
		3.6 Comparing the Control Action for Different Techniques on a Ball and Beam System
	4 Discussion
	5 Conclusion
	6 List of Abbreviations
	References
Are Referees Unfair to Away Teams? Evidence from the Premier League
	1 Introduction
	2 Data and Methodology
		2.1 Data
		2.2 Regression Analysis
	3 Results and Discussion
	4 Conclusion
	References
The Use of Twins in Isotopic Analysis
	1 Introduction
		1.1 Interval Arithmetic
		1.2 Twins
	2 Numerical Example
	3 Discussion
	4 Conclusion
	References
Metaheuristic Approaches to Tune PID Controller for Ball on Plate System
	1 Introduction
	2 Metaheuristic Algorithms
		2.1 Particle Swarm Algorithm
		2.2 Genetic Algorithm
	3 Ball on Plate System
		3.1 Modelling of the Ball & Plate System
		3.2 Linearisation of Ball on Plate System
		3.3 Simulink Model
	4 PID Controller Tuning
	5 Results and Discussions
		5.1 Genetic Algorithm
		5.2 Particle Swarm Optimization
	6 Conclusion
	References
Frequency Criterion for the Existence of Sliding Processes in Control Systems with an Arbitrary Variable Structure
	1 Introduction
	2 Formulation of the Problem. Conditions for Ideal Sliding VSS of the Second Order
	3 Interpretation of the Sliding Conditions of VSS Links According to LFC
	4 VSS Equivalent Diagram
	5 Simulation of VSS with a High (Fourth) Order Object
	6 Promising Offers
	7 Conclusions
	References
Least Squares for Generalized Gauss–Laplace Distribution of the Error in Certain Nonlinear Regressions  with Perpendicular Offsets
	1 Introduction
	2 Material and Method
	3 Results and Discussion
	4 Conclusions
	References
On the Influence of Absorption on the Spatial Spectrum of Radio Waves Propagation in the Polar Ionosphere
	1 Introduction
	2 Introduction
	3 Numerical Calculations
	4 Conclusions
	References
Computational Bar Size Optimization of Single Layer Dome Structures Considering Axial Stress and Shape Disturbance
	1 Introduction
	2 Numerical Model
		2.1 Structural Geometry
		2.2 Materials Properties and Loadings
		2.3 Prestressing and Computational Optimization
		2.4 The Strategy of the Work
	3 Results and Discussion
		3.1 Bar Size Optimization
		3.2 Optimization of the Actuator Number
		3.3 Optimization of the Actuation Amount
		3.4 Nodal Displacement Constraints
		3.5 Error
		3.6 Optimal Scenarios
	4 Conclusions
	References
Algorithmic Feature Selection and Dimensionality Reduction in Signal Classification Tasks
	1 Signal Classification and Experiments
		1.1 Two Defectoscopic Experiments
	2 Conventional Algorithmic Feature Approach
	3 Contemporary Deep Learning Approach
	4 Classification Results and Discussion
	5 Conclusion
	References
Two-Terminal Reliability of the K4-Ladder—Revisited
	1 Introduction
	2 Statement of the Problem
	3 Contraction-Deletion Method
	4 Markov Chain Method
	5 Comparison of the Two Methods
	6 First Generalization: Unreliable Vertices
	7 Second Generalization: Components of Various Reliabilities
	8 Conclusion and Perspectives
	References
Comparative Analysis of Authentication Using Formant Features of Vowels and Consonants
	1 Introduction
	2 User\'s Biometric Image
	3 Developing Sets
	4 Developing Models Using Algorithms Cluster
	5 Outcomes of Using 3 Different User\'s Biometric Images
	6 Conclusion
	References
Hidden and Singular Attractors in Nonlinear Systems of Differential Equations
	1 Introduction
	2 A System with no Singular Points
		2.1 Analytical Study
		2.2 Numerical Analysis
	3 A System with Only One Stable Singular Point
		3.1 Analytical Study
		3.2 Numerical Analysis
	4 Conclusion
	References
Complex Systems and Complex Networks
Nonlinear Features and Hybrid Optimization Algorithm for Automated Electroencephalogram Signal Analysis
	1 Introduction
	2 Problem Statement and Description of Methods
		2.1 Sample Entropy
		2.2 Hurst Index
		2.3 Lyapunov Exponents
	3 Experimental Design
		3.1 Data Understanding
		3.2 Data Preparation
		3.3 Feature Extraction
		3.4 Selecting Modeling Techniques
	4 Conclusion
	References
Properties of Model Networks Generated by Modified Small-World Scale-Free Fractal Tree Algorithm
	1 Introduction
	2 M-SSF Tree Algorithm and Stratified Structure
	3 Results for the Box-Counting Method
	4 Results for the Cluster-Growing Method and the Small-World Property
	5 Conclusion
	References
Slow-Fast Dynamical Systems  with a Load Variation
	1 Introduction
	2 Method of Realization of Vector Fields
	3 Quadratic Systems
	4 Simple Bifurcations Scenarios
	5 Concluding Remarks
	References
The Problem of Premature Convergence in Engineering Optimization Problems
	1 Introduction
	2 Optimization Algorithms
		2.1 Sine–Cosine Algorithm
		2.2 Artificial Bee Colony Algorithm
	3 Proposed Approach
	4 Conclusion
	References
Multiple Fuzzy Soft Graphs Based on Maps and Consider Their Applications in Decision-Making
	1 Introduction
	2 Preliminaries
	3 Certain Types of Fuzzy Soft Graphs
	4 Properties of e - θ and δ-βθ-θ Open Sets
	5 Conclusion
	References
Cross-Border Blockchain Transactions as a Tool for Adapting the National Economy of the Russian Federation to International Sanctions
	1 Introduction
	2 Methods
	3 Result
	4 Conclusion
	References
Sociophysics and Econophysics—Mathematical Models of Human Behaviour and Economics
Remote Control of Mobile Robotic System Over Web-Based Interface for Supporting People with Physical Disabilities
	1 Introduction
	2 Description of the Robotic Mobile System
	3 Robot Remote-Control System
		3.1 Forming Messages from the Frontend to the Robot
		3.2 Controlling the Robot in Autonomous Navigation Mode
	4 Conclusion
	References
Methodology for Development of Virtual Reality Based Resources for Education
	1 Introduction
		1.1 Benefits and Limitations of Using VR in Education
	2 Modeling and Developing Educational Resources Designed for Virtual Reality
	3 Systems and Software for Creating Virtual Reality
		3.1 Virtual Reality Software Features
	4 Methodology for Optimizing the Process of Creating Educational Resources with Virtual Reality
	5 Development of Virtual Reality According to an Example Lesson
	6 Conclusion
	References
Non-euclidean Geometries and Arts in the Beginning of the Twentieth Century: An Interdisciplinary Approach for High School Students
	1 Introduction
	2 The Project
		2.1 Part A
		2.2 Part B
	3 Results
	4 Conclusion
	References
The Impact of Sanctions Pressure on the Stability and Prospects for the Development of the National Economy of the Russian Federation
	1 Introduction
	2 Literature Review
	3 Materials and Methods
	4 Results
	5 Discussion
	6 Conclusion
	References
Methodology for Assessing the Impact of Changes in Transnational Cash Flow on GDP Growth (on the Example of the Russian Federation)
	1 Introduction
	2 Methods
	3 Result
	References
The Impact of Trading Environments on Commodity Futures: Evidence from Biofuel Feedstocks’ Network
	1 Introduction
	2 Data and Methodology
		2.1 Data
		2.2 Granger Causality
		2.3 Centrality Metrics
	3 Results and Discussion
		3.1 Correlation Network
		3.2 Granger Causality Network
	4 Conclusion
	References
Finite Element and Meshfree Methods
Natural Convection Flow in an Inclined Wavy Porous Medium in the Presence  of an Inclined Periodic Magnetic Field
	1 Introduction
	2 Model of the Problem
	3 Numerical Progress
		3.1 Validation and Grid Independency
	4 Numerical Outcomes and Analysis
	5 Conclusions
	References
Topics in Mathematical Physics
Pseudogeometric Version of the Traveling Salesman Problem, Its Application in Quantum Physics Models and Some Heuristic Algorithms for Its Solution
	1 Introduction and Motivation. Hamilton Cycles in Quantum Physics Models
	2 The Theoretical Substantiation for the Application  of a Heuristic Method
	3 Geometric Approach: Pseudo-Optimum Placement  of the Points
	4 Conclusion. Some Results of Computing Experiments
	References
Solution to Infinity Problem of Scattering Matrix Using Time-Evolution Operators Without Needing Renormalization
	1 Introduction
	2 Infinity Problem of Scattering Matrix and Analysis
	3 Alternative Time-Evolution Operators and Convergence
		3.1 Local Time-Evolution Operator and Analysis  of Convergence
		3.2 Global Time-Evolution Operator and Analysis  of Convergence
	4 Conclusion
	References
Nonlinear Loading and Damping of a Single Degree of Freedom Oscillator
	1 Introduction
		1.1 The Dynamic Equation for a Single Degree of Oscillator with Forcing Function
		1.2 A Non-linear Forcing Function Could Represent a Damping Term
	2 Limit Cycle Presentation of the Resulting Motion
	3 Consequences of the Nonlinear Drag Loading on the Motion of Structures Exposed to Wave Loading
		3.1 Case Examples, Large Cylindrical Structure with Diameter in the Order of 15 m and Slender Space-Frame Structure with Member Diameters in the Order of 2 m
		3.2 Additional Nonlinearities to Be Considered for Single Degree of Freedom Systems with Drag Loading
	4 Other Relevant Non-linear Models of Interest
	5 Application of Nonlinear Models to Other Branches of Science, Conclusions
	References
Correction for the Classical Conditions for a Collision in Three-Body System Using General Relativity and Machine Learning
	1 Introduction
	2 Methodology
		2.1 Einstein Field Equation (EFE)
		2.2 GR Effective Potential Energy for the Celestial Bodies Using EFE (Geodesics of the Schwarzschild Metric)
		2.3 Mathematical Description for the Three-Body Problem
		2.4 Data Generation and Collision Checking
		2.5 Machine Learning Model
	3 Discussion
	4 Limitations
	5 Conclusions
	References
A Novel Way of Calculating Scattering Integrals
	1 Introduction
	2 Improper Integrals
		2.1 Improper Integral for a Subscript plusa+ shift
		2.2 Improper Integral for a Subscript minusa- shift
	3 NDIM and the Improper Integrals
	4 NDIM in Quantum Mechanics Scattering Calculation
	5 Conclusions
	References
Study of Linear Stability for Cylindrically Symmetrical States of Dynamic Equilibrium of Two-Component Vlasov–Poisson Plasma
	1 Introduction
	2 The Kinetic Vlasov–Poisson Equations
	3 The System of Vortex Shallow Water Equations
	4 The a Priori Exponential Lower Estimate for Small Cylindrically Symmetrical Perturbations Growing Over Time
	5 Conclusion
	References
Ranking of Linear Spaces in Generating a Hierarchy Between Concepts
	1 Introduction
	2 Concept Generation in a Bump Example
	3 Hierarchy of Spaces
	4 Human Recognition of Concepts
	5 Discussion
	References
Physical Modeling Using Stochastic Differential Equations
Monte Carlo Solution of Semi-linear Helmholtz Boundary Value Problem
	1 Introduction
	2 Formulation of the Problem
	3 Probabilistic Representation of the Solution
	4 Construction of an Unbiased Estimators of the Solutions
	5 The Numerical Experiment
	6 Conclusion
	References
Strongly Entangling Neural Network: Quantum-Classical Hybrid Model for Quantum Natural Language Processing
	1 Introduction
	2 Fundamentals
		2.1 Words Embedding
		2.2 Encoding Layer and Angle Embedding
		2.3 Variational Quantum Circuits and Ansatz
		2.4 Measurements and Loss Function
	3 Strongly Entangling Neural Network
	4 Results
	5 Conclusions
	References
COVID-19 and Virus Spreading Mathematical Modeling
Mathematical Analysis and Optimal Strategy for a COVID-19 Pandemic Model with Intervention
	1 Introduction
	2 Formulation of the Model
	3 Basic Properties of the Model
		3.1 Positivity of Solutions
		3.2 Boundedness of Solutions
	4 The Basic Reproduction Number
	5 Steady State Solutions
		5.1 The Disease-Free Steady State
		5.2 The Endemic Steady State
	6 Stability Analysis
		6.1 Stability of script upper E 0mathscrE0
		6.2 Stability of script upper E 1mathscrE1
	7 An Optimal Control Problem
		7.1 Improved Treatment Plan for Infected Patients
		7.2 Existence of Optimal Control
		7.3 Characterization of Optimal Control
	8 Numerical Simulations
		8.1 Without Control Strategy
		8.2 With Control Strategy
	9 Conclusion and Discussion
	References
Modeling Public Fear Under the Information Environment of Emergencies as COVID-19 and Wars
	1 Introduction
	2 Mathematical Model
	3 Public Emotion Relating to COVID-19
	4 The Case of Ukraine-Russia Conflict
	5 Concluding Remarks
	References
Chaotic Model for Development of HIV Virus
	1 Introduction
	2 Mathematical Model
		2.1 Existence and Uniqueness
		2.2 Equilibrium Points
	3 Numerical Methods
		3.1 Runge Kutta Method
		3.2 Differential Transform Method
		3.3 Multistep Differential Transform Method
	4 Simulation Results and Discussion
	5 Conclusion
	References
Stability Analysis of a COVID-19 SEIQR Model with Switching Constant Transmission Rates
	1 Introduction
	2 The Mathematical Model
		2.1 Model Formulation
		2.2 Equilibrium Point and Basic Reproduction Number
	3 Stability Analysis
		3.1 Simulations
	4 Conclusion
	References
Mathematical Modeling for Sustainable Development
Modeling Air Pollution Data Using a Generalized Birnbaum-Saunders Distribution with Different Estimation Procedures
	1 Introduction
	2 Generalization Description
	3 Estimation Procedures
		3.1 Maximum Likelihood Estimation
		3.2 Maximum Product of Spacings Estimation
		3.3 Least-Squares Estimation
		3.4 Weighted Least-Squares Estimation
		3.5 Percentile Estimation
		3.6 Cramér-von Mises Estimation
		3.7 Anderson-Darling Estimation
		3.8 Right-Tailed Anderson-Darling Estimation
	4 Numerical Results and Discussions
		4.1 Illustrative Numerical Example
		4.2 Monte Carlo Simulation Outcomes
	5 Data Analysis
	6 Conclusions
	References
Improved Routing for the In-Band Network Telemetry Problem
	1 Introduction
	2 Related Work
	3 The In-Band Network Telemetry Problem
		3.1 In-Band Network Telemetry Basic Problem
		3.2 In-Band Network Telemetry Extended Problem
	4 Computational Experiments
		4.1 Setup
		4.2 Dataset
		4.3 Results
	5 Conclusion
	References
House Price Prediction Using XG-Boost Grid Search and Cross-Validation Methods
	1 Introduction
	2 Literature Review
	3 Methodology
	4 Experiment
		4.1 Selection of Sample Data
		4.2 Experimental Procedure
	5 Results and Discussion
	6 Conclusion
	References
The Effectiveness of Submerged- Emerged Breakwaters: An Analytical and Numerical Study
	1 Introduction
	2 Mathematical Model
	3 Analytical Wave Transmission Coefficient
		3.1 Wave Elevation and Horizontal Velocity at the Corresponding Domain
		3.2 Wave Transmission Coefficient
	4 A Staggered Finite Volume Method
	5 Results and Discussion
		5.1 Waves Passing Through Mangroves
		5.2 Waves Passing Through Mangroves and Two Submerged Breakwaters
		5.3 Comparison Between Analytical and Numerical Simulations
	6 Conclusion
	References
Validation and Numerical Simulation of a Parabolic Trough Solar Collector Plant Using an Implicit Finite-Difference Scheme
	1 Introduction
	2 Reference Systems
		2.1 Mathematical Model and Numerical Method
		2.2 Case Study 1: HTF-PTC Test Loop at the Plataforma Solar De Almería
		2.3 Case Study 2: Commercial 50 MW PTC Power Plant
	3 Simulation Results
	4 Conclusions and Future Work
	References
Transition to Rational Models of Production and Consumption in the Framework of the UN Sustainable Development Goals
	1 Introduction
	2 Material and Method
	3 Results
	4 Conclusion
	References
The Chemical Elements with Their Applications in Fuzzy Delta-Algebraic Systems
	1 Introduction
	2 Preliminaries
	3 New Classes of Delta-Algebra with Their Applications
	4 The Translations of Bipolar Fuzzy (Delta/Delta Par)- Ideals Semigroups
	5 Conclusion and Future Works
	References