The theoretical model is developed and the practical method for shortening the time of substitution of outdated technology by innovative technology is offered on the basis of the random processes theory and the informational entropy criterion. The method is based on a synergetical approach, analysis of the passage time for bifurcation points on the technological development trajectory, as well as on the control of input flows of the updated system. Analytical and graphical dependences describing the dynamics of the information entropy and its increment rate over time for three characteristic modes of being (old, bifurcation and new) for the updated system are obtained. The dependences of the mode of being of the updated system, as well as the time of passage of the system through the bifurcation point from the distribution function of a random process of external influences on the system are revealed. The acceleration of innovation can be achieved by reducing the time of the updated system through the bifurcation points due to the rational management of input investment and information flows. Examples of the typical trajectories for technological substitution and scenarios for the approaching the updated system to the attractors of technological development are given
Keywords: frugal innovation, bifurcation point, informational entropy, attractor of technological development, synergetics, technological substitution, accelerating the commercialization
1. D. Sahal. Patterns of technological innovation. Addison-Wesley Publishing Company, 1981. 381 p.
2. M. Hirooka. Innovation dynamism and economic growth: a nonlinear perspective. Edward Elgar, 2006. 426 p.
3. Р. И. Зайнетдинов. Моделирование свойств инноваций на основе энтропийного, мультифрактального и вейвлетного анализа//Управление инновациями 2009: Материалы международной научно-практической конференции. М.: Ленанд, 2009. C. 114-118.
4. Р. И. Зайнетдинов. Построение концепции управления инновациями на основе моделей точных наук //Гуманитарные и естественные науки: проблемы синтеза. Материалы всеросс. науч. конф. 3 апреля 2012 г., Москва. М.: Научный эксперт, 2012. С. 580-593.
5. Г. Чесбро. Открытые инновации. М.: Поколение, 2007. 336 с.
6. И. Р. Пригожин. Введение в термодинамику необратимых процессов. М.: Иностранная литература, 1960. 128 с.
7. R. Zainetdinov. Entropy Dynamics Associated with Self-Organization//Paradigms of Complexity. Fractals and Structures in the Science. Singapore: World Scientific, 2000. P. 229-242.
8. Дж. Николис. Динамика иерархических систем: Эволюционное представление. М.: Мир, 1989. 488 с.
9. R. I. Zainetdinov. Dynamics of Informational Entropy Associated with Self-Organization Process in Open System//Chaos, Solitons & Fractals. Pergamon, 1999, vol. 10, No. 9. P. 1425-1435.
10. Encyclopedia of Technology and Innovation Management/Ed. By V. K. Narayanan and G. C. O’Connor. Wiley, 2010. 546 p.
11. J. Fisher, R. Pry. A simple substitution model of technological change//Technological Forecasting and Social Change. 1971. № 3. P. 75-88.
12. B. Dattee. Challenging the S-curve: Patterns of technological substitution. The DRUID Summer Conference. Appropriability, proximity, routines and innovation. Copenhagen, CBS, Denmark, 2007. 26 p.
13. The American Iron and Steel Institute. Annual Statistical Reports: (AISI, 1912), (AISI, 1965), (AISI, 1979), (AISI, 1985), (AISI, 1993).
14. J. Norton, F. Bass. A Diffusion Theory Model of Adoption and Substitution for Successive Generations of High-Tech Products//Management Science. 1987. Vol.33. P. 1069-1086.
15. M. Phister. Data processing technology and economics. Bedford (MA): Digital Press/SantaMonica Publishing Company, 1979.
16. DDT, A Review of Scientific and Economic Aspects of the Decision To Ban Its Use as a Pesticide. Prepared for the Committee on Appropriations of the U.S. House of Representatives by EPA, July 1975, EPA-540/1-75-022.
17. N. Rosenberg. On technological expectations//The Economic Journal. 1976. Vol. 86 (34). P. 523-535.
18. К. Кристенсен. Закон успешных инноваций. М.: Альпина Паблишер, 2017. 268 с.
19. О. С. Сухарев, С. В. Шманев, А. М. Курьянов. Синергетика инноваций. М.: Финансы и статистика; ИНФРА-М, 2011. 368 c.
20. Нави Раджу, Джайдип Прабху. Бережливые инновации: технологии умных затрат. М.: Олимп-Бизнес, 2018. 416 с.
21. Р. И. Зайнетдинов. Метод ускорения внедрения инноваций, как новый инструмент концепции Lean Innovation. Proc. 9th DQM Int.//Conf. «Life Cycle Engineering and Management (ICDQM-2018)». Prijevor, Serbia, 2018. P. 485-495.