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KIAM Preprint № 109, Moscow, 2019
Authors: Moskalenko A.V., Tetuev R.K., Makhortykh S.A.
On studies of bifurcation phenomena such as memory and delay
For various researchers, the bifurcation phenomena of memory and delay are associated with the ideas about 'dynamic bifurcation', 'slow time', and 'fast-slow systems'. The review presents an analysis of literary sources on these topics. According to the author's explanation of these phenomena proposed here, they should be classified as the manifestations of the structural instability of the system. The review is primarily intended for specialists in the field of mathematical biology.
mathematical modeling, nonlinear dynamics, theory of bifurcations, condition of normal switching, bifurcation memory, stability loss delay, dynamical bifurcation, fast-slow systems
Publication language: russian,  pages: 44
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Moskalenko Andrey Vitalievich, RAS
  • Tetuev Ruslan Kurmanbievich, RAS
  • Makhortykh Sergey Aleksandrovich, RAS