The University of Queensland
Competitions are common in nature and, jointly with adaptation, are the major driving forces behind various complex evolutionary processes, which include technological progress. Systems with competition and adoptation can possess emergent properties, which under some conditions can be characterised by competitive thermodynamics (which, however, is quite different from the thermodynamic discipline studied in schools and universities). Under other conditions -- locality and intransitivity can be mentioned here -- competitive systems can become complex and display sophisticated patterns of behaviour (e.g. competitive cooperation and complex cycles). Complex technological cycles are of special interest for engineers -- technology does not evolve gradually or monotonically but experiences relative surges and stagnations.
- A. Y. Klimenko, Complex competitive systems and competitive thermodynamics , Phil. Trans. R. Soc. A, 2013 vol.371 (No 1982) 20120244 (latest review)
- A. Y. Klimenko Computer Simulations of Abstract Competition. Proceedings of The International Multi-conference on Complexity Informatics and Cybernetics, (IMCIC), vol. 1, pp. 97-102, Orlando, 2010 (popular presentation)
- A. Y. Klimenko, Mixing, entropy and competition Physica Scripta 85 (2012) 068201 (29pp), 2012 (comprehensive treatment of competitive thermodynamics)
- A. Y. Klimenko and S. B. Pope. Propagation speed of combustion and invasion waves in stochastic simulations with competitive mixing. Combustion Theory and Modelling, 16(4), 679-714, 2012. (Analysis and simulation of combustion and invasion waves in reactive and competitive systems.)
- A.Y. Klimenko, Conservative and competitive mixing and their applications, Physica Scripta, T 142 (2010) 014054 (Competitive mixing: general principles, analysis and simulations)
- A.Y.Klimenko, Technological Cycles and their impact on Science, Engineering and Engineering Education, The International Journal of Technology, Knowledge and Society, 4 (2), 11-18, 2008, (popular presentation of the leaping cycle hypothesis, similarity between different evolutions)
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A. Y. Klimenko, Entropy and Equilibria in Competitive Systems Entropy 2014, 16, 1-22
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A. Y. Klimenko, Complexity and intransitivity in technological development
J Syst Sci Syst Eng (Jun 2014) 23(2): 128-152. Technological and Economic Evolution and Cycles; Intransitivity in Technology and Economics;
Example of intransitivity in the US car manufacturing industry; Intransitive decision-making.
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A. Y. Klimenko, Intransitivity in Theory and in the RealWorld
Entropy 2015, 17, 4364-4412. This work presents a common framework for analysis of intransitivity with examples from different fields (game theory, law, biology, economics, complex competitive systems, decision making, quantum preferences).
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V. Bouet and A. Y. Klimenko, Graph clustering in industrial networks
IMA Journal of Applied Mathematics (2019) 84, 1177–1202. This work introduces multi-level clustering analysis of graphs using random walks. The developed method is applied to industrial networks pointing to likely emergence of a new technological surge.
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A. Y. Klimenko and D.A.Klimenko, The Evolution of Technology and Emergence of the Knowledge Society , Glasstree Academic Publishing 2019
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A. Y. Klimenko From modelling turbulence to general systems modelling , AppliedMath (2022), 2 (2), 247-260.
Turbulence as the first complex system encountered by science; using principles of modelling turbulence for modelling other complex systems.
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A. Y. Klimenko Modelling the leaping cycle by modified Lotka-Volterra equations with applications to technology
and safety , JOURNAL OF SIMULATION (2023) https://doi.org/10.1080/17477778.2023.2176794©.
Cycles in Complex Evolutionary Systems and their modelling. Emergence of a new technological surge.
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