Abstract:
The work outlines the key ideas of Kurdyumov S. P., an outstanding specialist in applied mathematics, self-organization theory, transdisciplinary research. It considers the development of his scientific ideas in the last decade and formulates a set of open problems in synergetics which will probably stimulate the development of this approach.
The article is an engaged version of the report made at X$^{\mathrm{th}}$ Kurdyumov readings held in Tver State University in 2015.
Keywords:S. P. Kurdyumov, Keldysh institute of applied mathematics, scientific school, theory of blow-up regimes, self-organization, synergetics, problem of time, dynamic chaos, self-organized criticality, paradigm, risk management.