?
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.
Korotayev A., , in: Complexity in Universal Evolution. A Big History Perspective.: Springer, 2026. Ch. 13 P. 359–409.
We have undertaken an attempt to propose a periodization of the Big History Biosocial (Anthropogenesis) Era on the basis of the most recent scientific data. This periodization is complexity-based, that is, the boundaries of the identified epochs are marked with complexity jumps, that is, in our case, such phase transitions that result in significant increases ...
Added: August 10, 2026
Leonid Grinin, Alexander M., Korotayev A., , in: Complexity in Universal Evolution. A Big History Perspective.: Springer, 2026. Ch. 12 P. 283–355.
In the first half of this chapter, Grinin et al. survey general similarities and differences between biological and social macroevolution. They undertake a systematic comparison between biological and social evolution at different levels of analysis and in various aspects, formulating a considerable number of general principles and rules of evolution, and working to develop a ...
Added: August 10, 2026
David J. L., Grinin L. E., Korotayev A., , in: Complexity in Universal Evolution. A Big History Perspective.: Springer, 2026. Ch. 2 P. 29–90.
This chapter explores the role of complexity dynamics in Big History through an integrative theoretical framework that spans physical, chemical, biological, social, cognitive, and civilizational domains. Building on foundational work in systemstheory,thermodynamics,andevolutionarytheory,thechapterarguesthat complexity can serve as a conceptual bridge across disciplines. By examining how complexity emerges, is sustained, and transforms across thresholds, as well as ...
Added: August 10, 2026
Korotayev A., LePoire D., , in: Complexity in Universal Evolution. A Big History Perspective.: Springer, 2026. Ch. 5 P. 151–171.
A previous study compared the symmetries of the cooling after the Big Bang and thedevelopment oflife, humans,and civilization on Earth. Asimple model ofthe relative rates of change depicts two cones joined at their bases representing the Big Bang expansion and the acceleration of complexity development on Earth through life evolution, human evolution, and civilization development. ...
Added: August 10, 2026
David J. L., Leonid Grinin, Korotayev A., , in: Complexity in Universal Evolution. A Big History Perspective.: Springer, 2026. Ch. 1 P. 1–25.
Complexity is widely acknowledged as a foundational and pivotal concept in Big History, offering a unifying lens through which to examine the emergence and development of systems—from particles and galaxies to life, civilizations, and beyond. Yet, despite its centrality, major gaps remain in how we define, measure, and interpret complexity across different phases and scales. ...
Added: August 10, 2026
David J. L., Leonid Grinin, Korotayev A., Springer, 2026.
Complexity is widely acknowledged as a foundational and pivotal concept in Big History, offering a unifying lens through which to examine the emergence and development of systems—from particles and galaxies to life, civilizations, and beyond. Yet, despite its centrality, major gaps remain in how we define, measure, and interpret complexity across different phases and scales. ...
Added: August 7, 2026
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