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Stochastic Behaviour of Auto‐Oscillating Systems with Inertial Self‐Excitation
Author(s) -
Babitsky V. I.,
Landa P. S.,
Ol'khovoi A. F.,
Perminov S. M.
Publication year - 1986
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19860660203
Subject(s) - inertial frame of reference , excitation , nonlinear system , oscillation (cell signaling) , stochastic differential equation , physics , fictitious force , statistical physics , classical mechanics , stochastic process , control theory (sociology) , mathematics , mathematical analysis , mechanics , computer science , chemistry , quantum mechanics , biochemistry , statistics , control (management) , artificial intelligence
In this paper the stochastic behaviour of self‐oscillating systems with inertial self‐excitation is investigated. As was already shown there exist two mechanisms for the excitation of stochastic self‐oscillation in such systems which depend on the type of the nonlinear terms in the corresponding differential equations. Both mechanisms are studied by means of numerical methods using the whole complex of criteria that oscillations have stochastic character. The influence of external periodic forces to the systems under investigation is studied, too.