A family of models with blue sky catastrophes of different classes


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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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