A family of models with blue sky catastrophes of different classes
- Autores: Kuptsov P.V.1, Kuznetsov S.P.2, Stankevich N.V.1,3
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Afiliações:
- Yuri Gagrin State Technical University of Saratov
- Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch
- University of Jyväskylä
- Edição: Volume 22, Nº 5 (2017)
- Páginas: 551-565
- Seção: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/218718
- DOI: https://doi.org/10.1134/S1560354717050069
- ID: 218718
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Resumo
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.
Sobre autores
Pavel Kuptsov
Yuri Gagrin State Technical University of Saratov
Autor responsável pela correspondência
Email: p.kuptsov@rambler.ru
Rússia, ul. Politehnicheskaya 77, Saratov, 410054
Sergey Kuznetsov
Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch
Email: p.kuptsov@rambler.ru
Rússia, ul. Zelenaya 38, Saratov, 410019
Nataliya Stankevich
Yuri Gagrin State Technical University of Saratov; University of Jyväskylä
Email: p.kuptsov@rambler.ru
Rússia, ul. Politehnicheskaya 77, Saratov, 410054; Mattilanniemi 2, Jyväskylä, FIN-40014
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