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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2019 044, 32 pp. (Mi ipmp2682)

This article is cited in 8 papers

On the current state of the theory of oscillations

A. V. Moskalenko, R. K. Tetuev, S. A. Makhortykh


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.

DOI: 10.20948/prepr-2019-44



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