Pub Date : 2020-01-01DOI: 10.25728/ASSA.2020.20.4.839
L. Kadi, A. Brouri, A. Ouannou
Accurate modeling of electrical drives for online testing is a relevant problem. Switched Reluctance Machine (SRM) has lately attracted significant attention because it has several advantages compared to conventional engines. It is simple, free of rare-earth and fault-tolerant machine. An analytical model of a SRM has not been reported yet due to the dynamic and strong nonlinearity of SRM. The most SRM control and applications are based on several assumptions and simplifications. Therefore, it is convenient to develop an accurate approach to identify the SRM characteristics. In this paper, an analytical modeling and identification method of magnetization characteristics of Switched Reluctance Machine (SRM) is proposed. Presently, an exact mathematical model of SRM is established. Unlike several previous studies, in this approach the system nonlinearities of SRM are allowed to be hysteresis (i.e. the hysteresis effect is considered) and taking account the inherent magnetic nonlinearity. Indeed, the SRM is considered as highly nonlinear which makes the modeling of these machines difficult to achieve. Then, it is convenient to develop an accuracy model of SRM because it is always operated in the magnetically saturated mode to maximize the energy transfer. The developed model can be used in control, simulation and design development. Furthermore, an identification method, at standstill test, based on frequency technics is developed allowing the identification of SRM nonlinearities (considering the saturation and the hysteresis effects). In this respect, it is shown that the nonlinear behavior of SRM can be exactly described by a block-oriented nonlinear structure. Specifically, the SRM can be described by a Wiener nonlinear model. Compared to the existing methods, the proposed study gives good accuracy of flux-linkage value characteristics and enjoys the simplicity of implementation.
{"title":"Frequency-Geometric Identification of Magnetization Characteristics of Switched Reluctance Machine","authors":"L. Kadi, A. Brouri, A. Ouannou","doi":"10.25728/ASSA.2020.20.4.839","DOIUrl":"https://doi.org/10.25728/ASSA.2020.20.4.839","url":null,"abstract":"Accurate modeling of electrical drives for online testing is a relevant problem. Switched Reluctance Machine (SRM) has lately attracted significant attention because it has several advantages compared to conventional engines. It is simple, free of rare-earth and fault-tolerant machine. An analytical model of a SRM has not been reported yet due to the dynamic and strong nonlinearity of SRM. The most SRM control and applications are based on several assumptions and simplifications. Therefore, it is convenient to develop an accurate approach to identify the SRM characteristics. In this paper, an analytical modeling and identification method of magnetization characteristics of Switched Reluctance Machine (SRM) is proposed. Presently, an exact mathematical model of SRM is established. Unlike several previous studies, in this approach the system nonlinearities of SRM are allowed to be hysteresis (i.e. the hysteresis effect is considered) and taking account the inherent magnetic nonlinearity. Indeed, the SRM is considered as highly nonlinear which makes the modeling of these machines difficult to achieve. Then, it is convenient to develop an accuracy model of SRM because it is always operated in the magnetically saturated mode to maximize the energy transfer. The developed model can be used in control, simulation and design development. Furthermore, an identification method, at standstill test, based on frequency technics is developed allowing the identification of SRM nonlinearities (considering the saturation and the hysteresis effects). In this respect, it is shown that the nonlinear behavior of SRM can be exactly described by a block-oriented nonlinear structure. Specifically, the SRM can be described by a Wiener nonlinear model. Compared to the existing methods, the proposed study gives good accuracy of flux-linkage value characteristics and enjoys the simplicity of implementation.","PeriodicalId":39095,"journal":{"name":"Advances in Systems Science and Applications","volume":"20 1","pages":"11-26"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.25728/ASSA.2020.20.4.1022
D. V. Tunitsky
The Cauchy problem for one-dimensional quasilinear wave equation is considered. In the case that its solutions are multivalued simple waves, we derive explicit expressions in quadratures by introducing global characteristic coordinates. The main result of the paper is a theorem on some global properties of multivalued simple waves.
{"title":"On Some Global Properties of Multivalued Simple Waves","authors":"D. V. Tunitsky","doi":"10.25728/ASSA.2020.20.4.1022","DOIUrl":"https://doi.org/10.25728/ASSA.2020.20.4.1022","url":null,"abstract":"The Cauchy problem for one-dimensional quasilinear wave equation is considered. In the case that its solutions are multivalued simple waves, we derive explicit expressions in quadratures by introducing global characteristic coordinates. The main result of the paper is a theorem on some global properties of multivalued simple waves.","PeriodicalId":39095,"journal":{"name":"Advances in Systems Science and Applications","volume":"20 1","pages":"125-131"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69238768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.25728/ASSA.2020.20.4.895
I. Varga, G. Kocsis
In this work, we present a robust model of vehicular ad hoc networks (VANET) in order to study information spreading on such topologies. Vehicles are moving along the fastest routes between their starting points and their destinations on a map derived from a real urban topology. Vehicles can exchange information through the use of short-range wireless communication devices. The source of information is a roadside unit which provides packets for the nearby vehicles. These agents can carry and forward messages for others. As a result of the data dissemination, the major part of the system becomes informed quite quickly. Presented results include the investigation of information spreading in the system, e.g. the time evolution of the average awareness, the age distribution of information owned by separate vehicles and the statistical properties of time intervals between information exchange events. It has been shown how the effectiveness of this complex system depends on the density of intelligent devices. Scale-free behavior was found by time series analysis. Our computer simulation results can help to design smart-city applications of the future.
{"title":"Statistical Properties of VANET-based Information Spreading","authors":"I. Varga, G. Kocsis","doi":"10.25728/ASSA.2020.20.4.895","DOIUrl":"https://doi.org/10.25728/ASSA.2020.20.4.895","url":null,"abstract":"In this work, we present a robust model of vehicular ad hoc networks (VANET) in order to study information spreading on such topologies. Vehicles are moving along the fastest routes between their starting points and their destinations on a map derived from a real urban topology. Vehicles can exchange information through the use of short-range wireless communication devices. The source of information is a roadside unit which provides packets for the nearby vehicles. These agents can carry and forward messages for others. As a result of the data dissemination, the major part of the system becomes informed quite quickly. Presented results include the investigation of information spreading in the system, e.g. the time evolution of the average awareness, the age distribution of information owned by separate vehicles and the statistical properties of time intervals between information exchange events. It has been shown how the effectiveness of this complex system depends on the density of intelligent devices. Scale-free behavior was found by time series analysis. Our computer simulation results can help to design smart-city applications of the future.","PeriodicalId":39095,"journal":{"name":"Advances in Systems Science and Applications","volume":"20 1","pages":"36-44"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.25728/ASSA.2020.20.4.744
M. Forghani-elahabad, N. Mahdavi-Amiri
Reliability evaluation approaches exploit a variety of tools for system modeling and calculation of reliability indices. Most proposed approaches in the literature are in terms of minimal cuts (MCs) or minimal paths. Hence, finding all the MCs in a network is an attractive problem in network flow and reliability theory. Here, investigating some works related to the MC problem, we first point out a number of defects in certain proposed algorithms, and present certain new techniques to rectify the flaws in two algorithms. Moreover, we present some techniques to improve the algorithms. Using our results, we propose an improved algorithm for finding all the MCs in a flow network. A benchmark network example is used to illustrate the performance of the algorithm. The proposed algorithm is shown to be correct. Finally, after establishing the complexity results, we demonstrate the proposed algorithm to be more efficient than some existing algorithms.
{"title":"An Algorithm to Search for All Minimal Cuts in a Flow Network","authors":"M. Forghani-elahabad, N. Mahdavi-Amiri","doi":"10.25728/ASSA.2020.20.4.744","DOIUrl":"https://doi.org/10.25728/ASSA.2020.20.4.744","url":null,"abstract":"Reliability evaluation approaches exploit a variety of tools for system modeling and calculation of reliability indices. Most proposed approaches in the literature are in terms of minimal cuts (MCs) or minimal paths. Hence, finding all the MCs in a network is an attractive problem in network flow and reliability theory. Here, investigating some works related to the MC problem, we first point out a number of defects in certain proposed algorithms, and present certain new techniques to rectify the flaws in two algorithms. Moreover, we present some techniques to improve the algorithms. Using our results, we propose an improved algorithm for finding all the MCs in a flow network. A benchmark network example is used to illustrate the performance of the algorithm. The proposed algorithm is shown to be correct. Finally, after establishing the complexity results, we demonstrate the proposed algorithm to be more efficient than some existing algorithms.","PeriodicalId":39095,"journal":{"name":"Advances in Systems Science and Applications","volume":"20 1","pages":"1-10"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69238994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.25728/ASSA.2020.20.4.870
A. Tuan, Binh Thang
When the vehicles move at high velocity and quickly steer, the vehicles can be rollover. The first sign of this phenomenon is that two wheels on the same side are completely separated from the road surface. The typical value for this sign is the vertical force FZ at each wheel. If this value gradually decreases to zero, the wheel runs the risk of separating from the road surface that may lead to rollover. Therefore, the value of the vertical force Fz in different conditions needs to be determined to detect the imminent limit of the rollover phenomenon. This research established the spatial dynamic model of the vehicle to determine the vertical force FZ based on the simulation method. Besides, the equation describing the relationship between vertical force FZ, velocity v, and acceleration steering e corresponding to the value of steering angle d is also established by the calculation process. From this equation, the value of the vertical force FZ can be simply calculated with relatively high accuracy based on determining conditions. The results of this research are the basis for determining and establishing the vehicle's rollover limit.
{"title":"Determining the Vertical Force When Steering","authors":"A. Tuan, Binh Thang","doi":"10.25728/ASSA.2020.20.4.870","DOIUrl":"https://doi.org/10.25728/ASSA.2020.20.4.870","url":null,"abstract":"When the vehicles move at high velocity and quickly steer, the vehicles can be rollover. The first sign of this phenomenon is that two wheels on the same side are completely separated from the road surface. The typical value for this sign is the vertical force FZ at each wheel. If this value gradually decreases to zero, the wheel runs the risk of separating from the road surface that may lead to rollover. Therefore, the value of the vertical force Fz in different conditions needs to be determined to detect the imminent limit of the rollover phenomenon. This research established the spatial dynamic model of the vehicle to determine the vertical force FZ based on the simulation method. Besides, the equation describing the relationship between vertical force FZ, velocity v, and acceleration steering e corresponding to the value of steering angle d is also established by the calculation process. From this equation, the value of the vertical force FZ can be simply calculated with relatively high accuracy based on determining conditions. The results of this research are the basis for determining and establishing the vehicle's rollover limit.","PeriodicalId":39095,"journal":{"name":"Advances in Systems Science and Applications","volume":"20 1","pages":"27-35"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.25728/ASSA.2020.20.4.972
L. Kiselev, V. Kostousov, A. Medvedev, A. E. Tarkhanov, K. V. Dunaevskaya
Comprehensive investigations of geophysical fields (GPF) of the ocean are among the top priority problems in underwater robotics. Problems reside in developing automated systems capable of real-time operation for gathering, accumulating, and processing diverse geophysical information. The data’s total volume is applied for long-term or real-time monitoring of marine areas, environment or objects surveillance, mapping certain regions, or anomalies in geographical coordinates. One of the main elements of such systems is the computational models sensitive to properties of geophysical fields, features of search routes of underwater vehicles, and particular aspects of missions performed during trajectory measurements and features of navigational support tasks. The work considers computational models of comprehensive interpretation of the results of trajectory measurements of geophysical fields using an autonomous underwater vehicle (AUV), and estimation of accuracy of map-aided navigation on the reconstructed map of geophysical fields. Algorithms and software consider distinctive features of representation of bathymetry, magnetometry, and gravimetry data visualized in 2D and 3D. Algorithm of map-aided navigation by the reconstructed fields is discussed. The final assessments of the considered models’ accuracy consider averaged errors of measurements, mapping, and inertial navigation. Obtained assessments are based on theoretical investigations, results of model experiments, and experimental trials of AUV’s systems under actual operating conditions.
{"title":"Computational Models of Trajectory Investigation of Marine Geophysical Fields and Its Implementation for Solving Problems of Map-Aided Navigation","authors":"L. Kiselev, V. Kostousov, A. Medvedev, A. E. Tarkhanov, K. V. Dunaevskaya","doi":"10.25728/ASSA.2020.20.4.972","DOIUrl":"https://doi.org/10.25728/ASSA.2020.20.4.972","url":null,"abstract":"Comprehensive investigations of geophysical fields (GPF) of the ocean are among the top priority problems in underwater robotics. Problems reside in developing automated systems capable of real-time operation for gathering, accumulating, and processing diverse geophysical information. The data’s total volume is applied for long-term or real-time monitoring of marine areas, environment or objects surveillance, mapping certain regions, or anomalies in geographical coordinates. One of the main elements of such systems is the computational models sensitive to properties of geophysical fields, features of search routes of underwater vehicles, and particular aspects of missions performed during trajectory measurements and features of navigational support tasks. The work considers computational models of comprehensive interpretation of the results of trajectory measurements of geophysical fields using an autonomous underwater vehicle (AUV), and estimation of accuracy of map-aided navigation on the reconstructed map of geophysical fields. Algorithms and software consider distinctive features of representation of bathymetry, magnetometry, and gravimetry data visualized in 2D and 3D. Algorithm of map-aided navigation by the reconstructed fields is discussed. The final assessments of the considered models’ accuracy consider averaged errors of measurements, mapping, and inertial navigation. Obtained assessments are based on theoretical investigations, results of model experiments, and experimental trials of AUV’s systems under actual operating conditions.","PeriodicalId":39095,"journal":{"name":"Advances in Systems Science and Applications","volume":"20 1","pages":"45-59"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.25728/ASSA.2020.20.4.1005
V. Chadeev, N. Aristova
The paper covers the рroduction of capital goods of various types of industrial robots in the context of industrial clusters. It uses a model of production, invariant with the types of technological operations (TOs). The paper examines algorithms for three automation options: full рroduction of capital goods, partial рroduction of capital goods, use of robots purchased outside the cluster.
{"title":"Automation of Cluster Large-Scale Production Systems","authors":"V. Chadeev, N. Aristova","doi":"10.25728/ASSA.2020.20.4.1005","DOIUrl":"https://doi.org/10.25728/ASSA.2020.20.4.1005","url":null,"abstract":"The paper covers the рroduction of capital goods of various types of industrial robots in the context of industrial clusters. It uses a model of production, invariant with the types of technological operations (TOs). The paper examines algorithms for three automation options: full рroduction of capital goods, partial рroduction of capital goods, use of robots purchased outside the cluster.","PeriodicalId":39095,"journal":{"name":"Advances in Systems Science and Applications","volume":"20 1","pages":"105-112"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.25728/ASSA.2020.20.4.984
I. Brokarev, S. Vaskovskii
In this paper, we present a method for assessing input parameters in a statistical model used for the quality analysis of the natural gas. The analysis is done by measuring physical quantities of natural gas through the hierarchy analysis, compromise programming, correlation analysis and assessing the practical possibility of measuring selected input physical quantities by available means. The problems arising when selecting input parameters are also considered. The results are compared with the previously obtained results of the model input parameters correlation analysis in order to improve the developed system for natural gas quality analysis. The proposed method is applied to assess input parameters for certain samples of natural gas based mixtures. Based on the results of the multicriteria assessment, the speed of sound, thermal conductivity and concentration of carbon dioxide were selected as input parameters for the developed natural gas quality analysis system.
{"title":"Multi-Criteria Estimation of Input Parameters in Natural Gas Quality Analysis","authors":"I. Brokarev, S. Vaskovskii","doi":"10.25728/ASSA.2020.20.4.984","DOIUrl":"https://doi.org/10.25728/ASSA.2020.20.4.984","url":null,"abstract":"In this paper, we present a method for assessing input parameters in a statistical model used for the quality analysis of the natural gas. The analysis is done by measuring physical quantities of natural gas through the hierarchy analysis, compromise programming, correlation analysis and assessing the practical possibility of measuring selected input physical quantities by available means. The problems arising when selecting input parameters are also considered. The results are compared with the previously obtained results of the model input parameters correlation analysis in order to improve the developed system for natural gas quality analysis. The proposed method is applied to assess input parameters for certain samples of natural gas based mixtures. Based on the results of the multicriteria assessment, the speed of sound, thermal conductivity and concentration of carbon dioxide were selected as input parameters for the developed natural gas quality analysis system.","PeriodicalId":39095,"journal":{"name":"Advances in Systems Science and Applications","volume":"21 1","pages":"60-69"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.25728/ASSA.2020.20.4.1017
N. Gabdrakhmanova, M. Pilgun
The paper considers the problem of developing approaches to building mathematical models based on digital data of real objects. The data are in text format and contains information about the behavior of the dynamic system. The information selected from the text data enables building of neural network and mathematical models of the dynamic system. The adequacy of the models is evaluated by analytical and numerical methods. The results are meaningfully interpreted. As a result of the study, it was confirmed that the algorithms and approaches for building mathematical models to solve the considered range of problems using digital data can be unified. The analysis of the obtained solutions showed that the con-clusions drawn on the basis of the built mathematical models and the conclusions drawn with the se-mantic neural network analysis of texts are consistent with each other. Therefore, one can talk about the positive results of the models developed. The models developed can be used in solving managerial tasks, planning and situation prediction.
{"title":"Development of Unified Approaches to Building Neural Network and Mathematical Models Based on Digital Data","authors":"N. Gabdrakhmanova, M. Pilgun","doi":"10.25728/ASSA.2020.20.4.1017","DOIUrl":"https://doi.org/10.25728/ASSA.2020.20.4.1017","url":null,"abstract":"The paper considers the problem of developing approaches to building mathematical models based on digital data of real objects. The data are in text format and contains information about the behavior of the dynamic system. The information selected from the text data enables building of neural network and mathematical models of the dynamic system. The adequacy of the models is evaluated by analytical and numerical methods. The results are meaningfully interpreted. As a result of the study, it was confirmed that the algorithms and approaches for building mathematical models to solve the considered range of problems using digital data can be unified. The analysis of the obtained solutions showed that the con-clusions drawn on the basis of the built mathematical models and the conclusions drawn with the se-mantic neural network analysis of texts are consistent with each other. Therefore, one can talk about the positive results of the models developed. The models developed can be used in solving managerial tasks, planning and situation prediction.","PeriodicalId":39095,"journal":{"name":"Advances in Systems Science and Applications","volume":"20 1","pages":"113-124"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69238705","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-01-01DOI: 10.25728/ASSA.2020.20.2.878
Beklaryan Armen
The article discusses construction of traveling wave type solutions for the FrenkelKontorova model on the propagation of longitudinal waves. For the first time, based on the existence and uniqueness theorem of traveling wave type solutions, as well as the approximation theorem, a complete family of traveling wave type solutions is constructed in the form of subfamilies of bounded solutions (horizontals) and unbounded solutions (verticals).
{"title":"Numerical Methods for Constructing Solutions of Functional Differential Equations of Pointwise Type","authors":"Beklaryan Armen","doi":"10.25728/ASSA.2020.20.2.878","DOIUrl":"https://doi.org/10.25728/ASSA.2020.20.2.878","url":null,"abstract":"The article discusses construction of traveling wave type solutions for the FrenkelKontorova model on the propagation of longitudinal waves. For the first time, based on the existence and uniqueness theorem of traveling wave type solutions, as well as the approximation theorem, a complete family of traveling wave type solutions is constructed in the form of subfamilies of bounded solutions (horizontals) and unbounded solutions (verticals).","PeriodicalId":39095,"journal":{"name":"Advances in Systems Science and Applications","volume":"20 1","pages":"56-70"},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69239098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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