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KIAM Preprint № 44, Moscow, 2019Revision of ≈≈
Authors: Moskalenko A.V., Tetuev R.K., Makhortykh S.A.
On the current state of the theory of oscillations
Abstract:
The main milestones of the development of the theory of oscillations are reflected, and the prospects for its development are also considered. A generalized definition for the concept 'oscillation', formulated on the basis of the theory of cyclic Markov random processes, is proposed.
Keywords:
mathematical physics, physics of biological objects, relaxation oscillations, chaotic oscillations, stochastic oscillations, rhythm, Markov processes, the matrix of transition probabilities, nonlinear dynamics, Physiome
Publication language: russian,  pages: 32
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Moskalenko Andrey Vitalievich,  orcid.org/0000-0002-3181-5638KIAM RAS
  • Tetuev Ruslan Kurmanbievich,  orcid.org/0000-0003-3548-1943KIAM RAS
  • Makhortykh Sergey Aleksandrovich,  orcid.org/0000-0002-7711-8117KIAM RAS