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.

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Pavel Kuptsov

Yuri Gagrin State Technical University of Saratov

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Email: p.kuptsov@rambler.ru
俄罗斯联邦, 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
俄罗斯联邦, ul. Zelenaya 38, Saratov, 410019

Nataliya Stankevich

Yuri Gagrin State Technical University of Saratov; University of Jyväskylä

Email: p.kuptsov@rambler.ru
俄罗斯联邦, ul. Politehnicheskaya 77, Saratov, 410054; Mattilanniemi 2, Jyväskylä, FIN-40014

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