Email this article Stability of capture into parametric autoresonance
- Authors: Sultanov O.A.1
-
Affiliations:
- Institute of Mathematics, Ufa Scientific Center
- Issue: Vol 295, No Suppl 1 (2016)
- Pages: 156-167
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174089
- DOI: https://doi.org/10.1134/S0081543816090169
- ID: 174089
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Abstract
A mathematical model describing the initial stage of capture into parametric autoresonance in nonlinear oscillating systems is considered. The resonance corresponds to solutions with unboundedly increasing energy. The stability of such solutions with respect to persistent perturbations on an asymptotically large time interval is investigated. A class of admissible perturbations is described for which a capture into parametric autoresonance occurs.
About the authors
O. A. Sultanov
Institute of Mathematics, Ufa Scientific Center
Author for correspondence.
Email: oasultanov@gmail.com
Russian Federation, Ufa, 450008
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