Pub Date : 2023-07-31DOI: 10.18500/0869-6632-003055
A. Miroshnichenko
August 3, 2023 is the 80th anniversary of Vladislav Alekseevich Tsarev.
2023年8月3日是弗拉季斯拉夫·阿列克谢耶维奇·察廖夫诞辰80周年。
{"title":"80 years of Vladislav A. Tsarev","authors":"A. Miroshnichenko","doi":"10.18500/0869-6632-003055","DOIUrl":"https://doi.org/10.18500/0869-6632-003055","url":null,"abstract":"August 3, 2023 is the 80th anniversary of Vladislav Alekseevich Tsarev.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":"240 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77535728","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 : 2023-05-31DOI: 10.18500/0869-6632-003045
June 9, 2023 marks the 40th anniversary of the vice editor-in-chief of the journal "Izvestiya VUZ. AND", Ph.D., Professor of SGU Ilya Vyacheslavovich Sysoev.
{"title":"40 years of Ilya V. Sysoev","authors":"","doi":"10.18500/0869-6632-003045","DOIUrl":"https://doi.org/10.18500/0869-6632-003045","url":null,"abstract":"June 9, 2023 marks the 40th anniversary of the vice editor-in-chief of the journal \"Izvestiya VUZ. AND\", Ph.D., Professor of SGU Ilya Vyacheslavovich Sysoev.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86330905","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 : 2023-05-31DOI: 10.18500/0869-6632-003046
Aleksej Kazakov, D. Turaev
May 10, 2023 marks the 70th birthday of Professor Sergey Vladimirovich Gonchenko, a leading researcher of Lobachevsky State University of Nizhny Novgorod
{"title":"70 years of Sergey V. Gonchenko","authors":"Aleksej Kazakov, D. Turaev","doi":"10.18500/0869-6632-003046","DOIUrl":"https://doi.org/10.18500/0869-6632-003046","url":null,"abstract":"May 10, 2023 marks the 70th birthday of Professor Sergey Vladimirovich Gonchenko, a leading researcher of Lobachevsky State University of Nizhny Novgorod","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":"13 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81877514","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 : 2023-05-31DOI: 10.18500/0869-6632-003044
G. Guria, Georgij Malinetskii, Gennady Sominski, B. Poizner
On June 14, 2023, could be celebrated the 85-th anniversary of the founder of the journal “Applied Nonlinear Dynamics”, the Corresponding Member of the Russian Academy of Sciences, the Honored Scientist of the Russian Federation, the laureate of the Presidential Prize in Education, the Rector of Saratov University (1994–2003), the head of the department electronics, oscillations and waves (1981–2020) Dmitry Ivanovich Trubetskov. Published reflections of colleagues and friends of D. I. Trubetskov reveal his contribution to the development of science, education and the significance of his multifaceted personality for the history of Saratov University.
2023年6月14日，我们将庆祝《应用非线性动力学》杂志创刊85周年，他是俄罗斯科学院通讯院士、俄罗斯联邦荣誉科学家、总统教育奖获得者、萨拉托夫大学校长(1994-2003)、电子学、振荡和波学系主任(1981-2020)德米特里·伊万诺维奇·特鲁别茨科夫。D. I. Trubetskov的同事和朋友发表的反思揭示了他对科学和教育发展的贡献，以及他多方面的个性对萨拉托夫大学历史的重要性。
{"title":"To the 85th anniversary of Dmitry Ivanovich Trubetskov","authors":"G. Guria, Georgij Malinetskii, Gennady Sominski, B. Poizner","doi":"10.18500/0869-6632-003044","DOIUrl":"https://doi.org/10.18500/0869-6632-003044","url":null,"abstract":"On June 14, 2023, could be celebrated the 85-th anniversary of the founder of the journal “Applied Nonlinear Dynamics”, the Corresponding Member of the Russian Academy of Sciences, the Honored Scientist of the Russian Federation, the laureate of the Presidential Prize in Education, the Rector of Saratov University (1994–2003), the head of the department electronics, oscillations and waves (1981–2020) Dmitry Ivanovich Trubetskov. Published reflections of colleagues and friends of D. I. Trubetskov reveal his contribution to the development of science, education and the significance of his multifaceted personality for the history of Saratov University.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":"45 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87304757","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 : 2023-03-31DOI: 10.18500/0869-6632-003035
I. Kashchenko, S. Glyzin
March 14, 2023 celebrates the 70th anniversary of Sergei Aleksandrovich Kashchenko - an outstanding mathematician, doctor of physical and mathematical sciences, professor
{"title":"On the anniversary of Sergei A. Kashchenko","authors":"I. Kashchenko, S. Glyzin","doi":"10.18500/0869-6632-003035","DOIUrl":"https://doi.org/10.18500/0869-6632-003035","url":null,"abstract":"March 14, 2023 celebrates the 70th anniversary of Sergei Aleksandrovich Kashchenko - an outstanding mathematician, doctor of physical and mathematical sciences, professor","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":"61 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79225031","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 : 2023-01-31DOI: 10.18500/0869-6632-003029
I. Sysoev
This year our journal, the first issue of which was published in 1993, celebrates its 30th anniversary.
我们的杂志于1993年创刊，今年庆祝创刊30周年。
{"title":"30 years of “Applied Nonlinear Dynamics”","authors":"I. Sysoev","doi":"10.18500/0869-6632-003029","DOIUrl":"https://doi.org/10.18500/0869-6632-003029","url":null,"abstract":"This year our journal, the first issue of which was published in 1993, celebrates its 30th anniversary.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":"29 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85520056","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 : 2023-01-01DOI: 10.18500/0869-6632-003042
A. Shabunin
Purpose of this work is to construct a model of infection spread in the form of a lattice of probabilistic cellular automata, which takes into account the inertial nature of infection transmission between individuals. Identification of the relationship between the spatial and temporal dynamics of the model depending on the probability of migration of individuals. Methods. The numerical simulation of stochastic dynamics of the lattice of cellular automata by the Monte Carlo method. Results. A modified SIRS+V model of epidemic spread in the form of a lattice of probabilistic cellular automata is constructed. It differs from standard models by taking into account the inertial nature of the transmission of infection between individuals of the population, which is realized by introducing a "carrier agent" into the model, which viruses act as. The similarity and difference between the dynamics of the cellular automata model and the previously studied mean field model are revealed. Discussion. The model in the form of cellular automata allows us to study the processes of infection spread in the population, including in conditions of spatially heterogeneous distribution of the disease. The latter situation occurs if the probability of migration of individuals is not too high. At the same time, a significant change in the quantitative characteristics of the processes is possible, as well as the emergence of qualitatively new modes, such as the regime of undamped oscillations.
{"title":"Spatial and temporal dynamics of the emergence of epidemics in the hybrid SIRS+V model of cellular automata","authors":"A. Shabunin","doi":"10.18500/0869-6632-003042","DOIUrl":"https://doi.org/10.18500/0869-6632-003042","url":null,"abstract":"Purpose of this work is to construct a model of infection spread in the form of a lattice of probabilistic cellular automata, which takes into account the inertial nature of infection transmission between individuals. Identification of the relationship between the spatial and temporal dynamics of the model depending on the probability of migration of individuals. Methods. The numerical simulation of stochastic dynamics of the lattice of cellular automata by the Monte Carlo method. Results. A modified SIRS+V model of epidemic spread in the form of a lattice of probabilistic cellular automata is constructed. It differs from standard models by taking into account the inertial nature of the transmission of infection between individuals of the population, which is realized by introducing a \"carrier agent\" into the model, which viruses act as. The similarity and difference between the dynamics of the cellular automata model and the previously studied mean field model are revealed. Discussion. The model in the form of cellular automata allows us to study the processes of infection spread in the population, including in conditions of spatially heterogeneous distribution of the disease. The latter situation occurs if the probability of migration of individuals is not too high. At the same time, a significant change in the quantitative characteristics of the processes is possible, as well as the emergence of qualitatively new modes, such as the regime of undamped oscillations.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":"24 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82826263","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 : 2023-01-01DOI: 10.18500/0869-6632-003034
Valerij Anikin
Purpose of the article is to illustrate the genesis, meaning and significance of the functional Schroder equation, introduced in the theory of iterations of rational functions, for the theory of deterministic chaos by analytical calculations of exact trajectory solutions, invariant densities and Lyapunov exponents of one-dimensional chaotic maps. We demonstrate the method for solving the functional Schroder equation for various chaotic maps by passing to a topologically conjugate mappings, for which finding the exact trajectory solution is a simpler mathematical procedure. Results of the analytical solution of the Schroder equation for 12 chaotic mappings of various types and the calculation of the corresponding expressions for exact trajectory solutions, invariant densities and Lyapunov exponents are presented. Conclusion is made about the methodological expediency of formulating and solving the Schroder equations by the study of the dynamics of one-dimensional chaotic mappings.
{"title":"Representation of exact trajectory solutions for chaotic one-dimensional maps in Schroder form","authors":"Valerij Anikin","doi":"10.18500/0869-6632-003034","DOIUrl":"https://doi.org/10.18500/0869-6632-003034","url":null,"abstract":"Purpose of the article is to illustrate the genesis, meaning and significance of the functional Schroder equation, introduced in the theory of iterations of rational functions, for the theory of deterministic chaos by analytical calculations of exact trajectory solutions, invariant densities and Lyapunov exponents of one-dimensional chaotic maps. We demonstrate the method for solving the functional Schroder equation for various chaotic maps by passing to a topologically conjugate mappings, for which finding the exact trajectory solution is a simpler mathematical procedure. Results of the analytical solution of the Schroder equation for 12 chaotic mappings of various types and the calculation of the corresponding expressions for exact trajectory solutions, invariant densities and Lyapunov exponents are presented. Conclusion is made about the methodological expediency of formulating and solving the Schroder equations by the study of the dynamics of one-dimensional chaotic mappings.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":"18 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78962153","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 : 2023-01-01DOI: 10.18500/0869-6632-003033
I. Nazhestkin, O. Svarnik
Purpose of this review is to consider the possibility to apply the integrated information theory to investigate the brain neural activity. Earlier was shown that the integrated information amount Φ quantifies a degree of a dynamic complexity of a system and able to predict a level of its success defined by classic observable benchmarks. For this reason, a question arises about the application of the integrated information theory to analyse changes in brain spiking activity due the acquisition of new experience. Conclusion. The bases of the integrated information theory and its possible application in neurobiology to investigate the process of new experience acquisition were reviewed. It was shown that the amount of integrated information Φ is a metric which is able to quantify the dynamic complexity of brain neural networks increasing when the new experience is acquired. Methods, enaabling the practical calculation of Φ for spiking data, were proposed.
{"title":"Integrated information theory and its application for analysis of brain neuron activity","authors":"I. Nazhestkin, O. Svarnik","doi":"10.18500/0869-6632-003033","DOIUrl":"https://doi.org/10.18500/0869-6632-003033","url":null,"abstract":"Purpose of this review is to consider the possibility to apply the integrated information theory to investigate the brain neural activity. Earlier was shown that the integrated information amount Φ quantifies a degree of a dynamic complexity of a system and able to predict a level of its success defined by classic observable benchmarks. For this reason, a question arises about the application of the integrated information theory to analyse changes in brain spiking activity due the acquisition of new experience. Conclusion. The bases of the integrated information theory and its possible application in neurobiology to investigate the process of new experience acquisition were reviewed. It was shown that the amount of integrated information Φ is a metric which is able to quantify the dynamic complexity of brain neural networks increasing when the new experience is acquired. Methods, enaabling the practical calculation of Φ for spiking data, were proposed.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":"161 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83174875","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 : 2023-01-01DOI: 10.18500/0869-6632-003050
A. Funtov
The purpose of this work is to construct a nonlinear theory of a hybrid between travelling wave tube (TWT) and an amplifier with a complex permittivity. Methods. The following model is considered: an ion-compensated one-dimensional electron beam penetrates the input travelling wave tube section, then flies into a medium with a complex permittivity, and then enters the output travelling wave tube section. A linear theory of this hybrid is constructed, and its results are compared with the results of the well-known linear theory of travelling wave tube. A nonlinear theory of this hybrid was constructed by a modified wave method, and the results were compared with the nonlinear travelling wave tube theory obtained by the classical Ovcharov–Solntsev’s wave method. In addition, to test the limits of applicability of the obtained results, a stationary nonlinear theory of the hybrid was constructed, obtained using the large particle method. The results of this theory were also compared with the stationary nonlinear travelling wave tube theory constructed using the large particle method. Results and conclusion. Based on the results of the developed theories, it is shown that, under certain parameters, the linear theory and nonlinear theories (both by the modified Ovcharov–Solntsev’s wave method and by the large particle method) make it possible to obtain comparable results both in the case of a classical travelling wave tube and for the hybrid under study. It is shown that under certain parameters, due to the resistive instability, the bunching of electrons can be noticeably improved and, as a result, the gain of the hybrid can exceed the gain in a classical travelling wave tube with the same parameters and the same total length of the device in the linear mode of operation. In the nonlinear mode of operation, the specified hybrid, with optimal environmental parameters, can have significantly higher values of output power and efficiency than travelling wave tube with the same value of the space charge parameter and the Pierce parameter.
{"title":"About theory of hybride TWTO and an amplifire with a complex permittivity","authors":"A. Funtov","doi":"10.18500/0869-6632-003050","DOIUrl":"https://doi.org/10.18500/0869-6632-003050","url":null,"abstract":"The purpose of this work is to construct a nonlinear theory of a hybrid between travelling wave tube (TWT) and an amplifier with a complex permittivity. Methods. The following model is considered: an ion-compensated one-dimensional electron beam penetrates the input travelling wave tube section, then flies into a medium with a complex permittivity, and then enters the output travelling wave tube section. A linear theory of this hybrid is constructed, and its results are compared with the results of the well-known linear theory of travelling wave tube. A nonlinear theory of this hybrid was constructed by a modified wave method, and the results were compared with the nonlinear travelling wave tube theory obtained by the classical Ovcharov–Solntsev’s wave method. In addition, to test the limits of applicability of the obtained results, a stationary nonlinear theory of the hybrid was constructed, obtained using the large particle method. The results of this theory were also compared with the stationary nonlinear travelling wave tube theory constructed using the large particle method. Results and conclusion. Based on the results of the developed theories, it is shown that, under certain parameters, the linear theory and nonlinear theories (both by the modified Ovcharov–Solntsev’s wave method and by the large particle method) make it possible to obtain comparable results both in the case of a classical travelling wave tube and for the hybrid under study. It is shown that under certain parameters, due to the resistive instability, the bunching of electrons can be noticeably improved and, as a result, the gain of the hybrid can exceed the gain in a classical travelling wave tube with the same parameters and the same total length of the device in the linear mode of operation. In the nonlinear mode of operation, the specified hybrid, with optimal environmental parameters, can have significantly higher values of output power and efficiency than travelling wave tube with the same value of the space charge parameter and the Pierce parameter.","PeriodicalId":41611,"journal":{"name":"Izvestiya Vysshikh Uchebnykh Zavedeniy-Prikladnaya Nelineynaya Dinamika","volume":"202 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72464405","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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