A family of models with blue sky catastrophes of different classes |
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| Authors: | Pavel V. Kuptsov Sergey P. Kuznetsov Nataliya V. Stankevich |
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| Affiliation: | 1.Yuri Gagrin State Technical University of Saratov,Saratov,Russia;2.Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch,Saratov,Russia;3.University of Jyv?skyl?,Jyv?skyl?,Finland |
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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. |
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