Email this article A family of models with blue sky catastrophes of different classes
- Authors: Kuptsov P.V.1, Kuznetsov S.P.2, Stankevich N.V.1,3
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Affiliations:
- Yuri Gagrin State Technical University of Saratov
- Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch
- University of Jyväskylä
- Issue: Vol 22, No 5 (2017)
- Pages: 551-565
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/218718
- DOI: https://doi.org/10.1134/S1560354717050069
- ID: 218718
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Abstract
A generalized model with bifurcations associated with blue sky catastrophes is introduced. Depending on an integer index m, different kinds of attractors arise, including those associated with quasi-periodic oscillations and with hyperbolic chaos. Verification of the hyperbolicity is provided based on statistical analysis of intersection angles of stable and unstable manifolds.
About the authors
Pavel V. Kuptsov
Yuri Gagrin State Technical University of Saratov
Author for correspondence.
Email: p.kuptsov@rambler.ru
Russian Federation, ul. Politehnicheskaya 77, Saratov, 410054
Sergey P. Kuznetsov
Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch
Email: p.kuptsov@rambler.ru
Russian Federation, ul. Zelenaya 38, Saratov, 410019
Nataliya V. Stankevich
Yuri Gagrin State Technical University of Saratov; University of Jyväskylä
Email: p.kuptsov@rambler.ru
Russian Federation, ul. Politehnicheskaya 77, Saratov, 410054; Mattilanniemi 2, Jyväskylä, FIN-40014
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