Email this article Random Perturbations of Autoresonance in Oscillating Systems with Small Dissipation
- Authors: Sultanov O.A.1
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Affiliations:
- Institute of Mathematics, Ufa Scientific Center of the Russian Academy of Sciences
- Issue: Vol 219, No 2 (2016)
- Pages: 267-274
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/238544
- DOI: https://doi.org/10.1007/s10958-016-3104-7
- ID: 238544
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Abstract
We consider the system of differential equations describing the initial step of capture of nonlinear oscillations in autoresonance under weak dissipation. We study the stability in probability of resonance solutions with unboundedly growing amplitude under persistent random perturbations. Bibliography: 11 titles. Illustrations: 1 Figure
About the authors
O. A. Sultanov
Institute of Mathematics, Ufa Scientific Center of the Russian Academy of Sciences
Author for correspondence.
Email: oasultanov@gmail.com
Russian Federation, 112. Chernyshevskogo St., Ufa, 450008
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