Email this article Hyperbolic Invariant Tori of a Fast-Slow System with Dynamic Bifurcation of Multifrequency Oscillations
- Authors: Parasyuk I.O.1, Repeta B.V.1
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Affiliations:
- Shevchenko Kyiv National University
- Issue: Vol 222, No 3 (2017)
- Pages: 312-335
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239193
- DOI: https://doi.org/10.1007/s10958-017-3302-y
- ID: 239193
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Abstract
We present additional information on the dynamics of a fast-slow system with dynamic bifurcation of multifrequency oscillations. It is shown that, parallel with an asymptotically stable invariant torus, the system also possesses hyperbolic invariant tori of lower dimensions located within a small neighborhood of its invariant manifold of slow motions.
About the authors
I. O. Parasyuk
Shevchenko Kyiv National University
Author for correspondence.
Email: pio@univ.kiev.ua
Ukraine, Volodymyrs’ka Str. 64, Kyiv, 01004
B. V. Repeta
Shevchenko Kyiv National University
Email: pio@univ.kiev.ua
Ukraine, Volodymyrs’ka Str. 64, Kyiv, 01004
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