?
Conclusion
P. 599–620.
Korotayev A., LePoire D.
This concluding chapter summarizes major findings of the present collective monograph. It traces the emergence of accelerating innovation rates through history and the major historical transformations through the evolution of life, humans, and civilization. It draws on the concepts from physics and evolutionary biology to offer potential models of the underlying mechanisms driving this acceleration along with potential clues to how it might end. In general, the study of the twenty-first-century singularity allows to detect a number of sufficiently rigorous global macroevolutionary regularities (describing the evolution of complexity on our planet for a few billions of years), which can be surprisingly accurately described by extremely simple mathematical functions.
In book
Switzerland: Springer, 2020.
Vinokurov Y., Kofanov Y. N., Sotnikova S., В кн.: Инновационные, информационные и коммуникационные технологии: сборник трудов XXII Международной научно-практической конференции. Москва, 2025.: Ассоциация выпускников и сотрудников ВВИА им. проф. Жуковского, 2025. С. 129–134.
В статье представлены результаты разработки и валидации комплексной математической модели в виде ненаправленного графа для конкретного применения, а именно для проведения виртуальных тепловых испытаний электронной аппаратуры. Предложена структура модели, включающая четыре подмодели: тепловых процессов внутри аппаратуры, взаимодействия с испытательным оборудованием, внешнего температурного воздействия, взаимодействия с оснасткой и с измерительной системой. Описаны методы получения исходных данных ...
Added: May 1, 2026
Samsonova E. S., Zheltukhin V. S., Shemakhin A.Y, et al., High Energy Chemistry 2024 Vol. 58 No. Suppl. 3 P. S393–S399
A two-dimensional axisymmetric plasma model of a radio frequency induction discharge of low pressure (13–133 Pa) with gas blowing is presented. The model includes the Navier−Stokes equations, the continuity equations for ions, electrons, and metastable atoms, the equations for the conservation of energy of electrons and atoms in the ground state, and the Maxwell equations ...
Added: February 26, 2026
Abdullin I. S., Zheltukhin V. S., A. Yu. Shemakhin, Journal of Engineering Physics and Thermophysics 2024 Vol. 97 No. 2 P. 480–493
A self-consistent end-to-end model defining a radio-frequency inductive jet discharge of lowered pressure (13.3–133 Pa) in an undisturbed gas flow and in the presence of a solid body has been proposed. The model comprises three interrelated submodels defining the parts of such a discharge, participating in its interaction with the material treated: the plasma jet, ...
Added: February 26, 2026
Урюпин И. В., Sukharev A., Vlasenko A., Информационные технологии и вычислительные системы 2023 № 3 С. 79–92
Transportation systems including air transportation play one of the most important roles in the economic and social development of any country. The effectiveness of the quality of control of such complex systems can be assessed according to various criteria, from the cost of developing infrastructure to the degree of satisfaction of the population with transport. ...
Added: February 24, 2026
Урюпин И. В., Vlasenko A., Мир транспорта 2024 Т. 22 № 4 (113) С. 94–103
The price of transportation (rate) is one of the key factors in the development of the air transportation system (ATS) of any country, in particular of the Russian Federation. In turn, the formation of the rate directly depends on the cost price of transportation and its components. Forecasting and modelling the cost prices considering the ...
Added: February 24, 2026
Урюпин И. В., Vlasenko A., Экономика и математические методы 2024 Т. 60 № 2 С. 92–104
At present, in an unstable geopolitical situation, one of the most important tasks for the Russian Federation is the creation of advanced domestic aircraft that will not be inferior to its foreign counterparts. The cost of operating is the main criterion in the design of a new aircraft to ensure competitiveness in air transport systems. ...
Added: February 24, 2026
Урюпин И. В., Vlasenko A., Sukharev A., Экономика и математические методы 2025 Т. 61 № 4 С. 73–85
At present development of advanced civil aircraft is one of the key priorities in Russia. To become commercially successful advanced civil aircraft should provide competitive lifecycle costs. Accordingly, it requires balancing operational expenses and consumer-acceptable pricing during an aircraft design phase. However, price evaluation of a prospective aircraft with the analog method or the income ...
Added: February 24, 2026
Akaev A., Давыдова О. И., Korotayev A., Философия и общество 2025 № 4(117) С. 5–46
This article presents a comprehensive macroeconomic analysis of countries grouped into civilizational clusters based on a cultural-historical approach. The object of the study is the macroeconomic dynamics of states in the context of civilizational differences, and the subject is the model-based assessment and forecast of GDP growth rates for the period up to 2050. The ...
Added: February 24, 2026
Nizomutdinov B., Olga G. Filatova, , in: Proceedings of the 2025 Communication Strategies in Digital Society Seminar (2025 ComSDS), 9 April 2025.: IEEE, 2025. P. 248–253.
The modern development of urban digital services greatly simplifies the interaction of citizens and authorities, making it urgent to find new approaches to analyze their effectiveness. The study examined user reviews of the Unified Map of St. Petersburg mobile application as a data source for evaluating the social effectiveness of electronic services. The main hypothesis ...
Added: January 13, 2026
A. V. Titova, S. D. Korolkov, V. V. Izmodenov, Lobachevskii Journal of Mathematics 2025 Vol. 46 No. 9 P. 4526–4533
The stability of the heliopause, the tangential discontinuity separating the solar wind from the interstellar medium, is influenced by various processes, including the Kelvin–Helmholtz instability. This study investigates the role of charge exchange collisions between protons and hydrogen (H) atoms in reduction of the Kelvin–Helmholtz growth rate at the heliopause. Using a two-dimensional gasdynamic model ...
Added: January 12, 2026
Урюпин И. В., Власенко А. О., Sukharev A., Экономика и математические методы 2025 Т. 61 № 4 С. 73–85
At present development of advanced civil aircraft is one of the key priorities in Russia. To become commercially successful advanced civil aircraft should provide competitive lifecycle costs. Accordingly, it requires balancing operational expenses and consumer-acceptable pricing during an aircraft design phase. However, price evaluation of a prospective aircraft with the analog method or the income ...
Added: December 12, 2025
Kirill Ilnitski, Buchoud N. A., Baku Dialogues: Policy Perspectives on the Silk Road Region 2024 Vol. 8 No. 1 P. 102–112
Buchoud N.J.A., Ilnitski K. (Ilnicki C.) Cities and Climate: The Future of the Future // Baku Dialogues. Vol. 8. No. 1. Fall 2024. P. 102-113.
The article presents a historical analysis of the evolution of the urban agenda in the context of global climate challenges. The authors trace the trajectory of urban discussions from the first World ...
Added: November 13, 2025
LePoire D., Grinin L. E., Korotayev A., Journal of Big History 2025 Vol. 8 No. 3 P. 98–139
Building on foundational work in systems theory, thermodynamics, and evolutionary theory, this paper argues that complexity can serve as a conceptual bridge across disciplines. It explores the role of complexity dynamics in Big History through an integrative theoretical framework that spans physical, chemical, geological, biological, social, cognitive, and civilizational domains. By examining how complexity emerges, ...
Added: November 1, 2025
Akaev A., Ильин И. В., Korotayev A., Вестник Российской академии наук 2025 № 9 С. 3–15
The article examines the likelihood of creating artificial intelligence (AI) at the human level (“human intelligence level”, AGI) by 2027-2029 and the onset of the era of technological singularity, when a fundamental change in the mechanism of human evolution will occur. It is noted that this probability is close to one, since these dates surprisingly ...
Added: October 28, 2025
Беляев Н. Д., Лебедев В. В., Нуднер И. С. et al., Гидротехническое строительство 2024 № 5 С. 34–40
В работе проанализированы методы изучения взаимодействия длинных волн типа цунами с береговыми сооружениями. Рассмотрены особенности математического и физического моделирования указанных процессов. Приведены примеры полученных результатов экспериментов по изучению воздействия волн цунами на донный грунт при обтекании ими гидротехнических сооружений. Выполнен анализ полученных результатов. Сделаны выводы о необходимости создания специализированной экспериментальной базы, оснащённой современной измерительно-информационной системой. ...
Added: September 23, 2025
Gaydukov R., СПб.: Лань, 2026.
Настоящее учебное пособие основано на одноименном курсе, неоднократно прочитанном автором для обучающихся по специальностям «Прикладная математика» и «Прикладная математика и информатика» в Московском институте электроники и математики им. А. Н. Тихонова Национального исследовательского университета «Высшая школа экономики». Целью учебного пособия является ознакомление студентов с основными разделами гидродинамики и применение различных математических методов для моделирования течений. ...
Added: June 20, 2025
LePoire D., Leonid Grinin, Korotayev A., , in: Navigating Complexity in Big History. Exploring Periodization Across Cosmic and Biosocial Dimensions.: Springer, 2025. P. 495–525.
This volume, “Navigating Complexity in Big History—Exploring Periodization Across Cosmic and Biosocial Dimensions” explores the aspects and proposals for periodization of Big History. This includes considering cross-cutting aspects of measuring complexity (e.g., energy, information, or a combination), considering different mechanisms of natural selection, developing a set of criteria to base the evaluation of frameworks, and ...
Added: May 12, 2025
Korotayev A., , in: Navigating Complexity in Big History. Exploring Periodization Across Cosmic and Biosocial Dimensions.: Springer, 2025. P. 101–157.
The point that within the Big History the decelerating growth of complexity in the Universe observed after the Big Bang can be contrasted with the accelerating growth of complexity traced on our planet for four billion years after the emergence of life on the Earth has been already noticed on quite a number of occasions. ...
Added: May 12, 2025
Leonid Grinin, Korotayev A., , in: Navigating Complexity in Big History. Exploring Periodization Across Cosmic and Biosocial Dimensions.: Springer, 2025. P. 49–71.
“The effort to understand the universe is one of the very few things which lifts human life a little above the level of farce and gives it some of the grace of tragedy”. These words of Nobel laureate Steven Weinberg undoubtedly deserve attention, although they dramatize the origins of interest in the problems of the Universe. ...
Added: May 12, 2025