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2013
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# Pavel Kuptsov

Politekhnicheskaya 77, Saratov 410054, Russia
Yuri Gagarin State Technical University of Saratov

## Publications:

 Kuptsov P. V., Kuznetsov S. P., Stankevich N. V. A Family of Models with Blue Sky Catastrophes of Different Classes 2017, vol. 22, no. 5, pp.  551-565 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. Keywords: dynamical system, blue sky catastrophe, quasi-periodic oscillations, hyperbolic chaos, Smale–Williams solenoid Citation: Kuptsov P. V., Kuznetsov S. P., Stankevich N. V.,  A Family of Models with Blue Sky Catastrophes of Different Classes, Regular and Chaotic Dynamics, 2017, vol. 22, no. 5, pp. 551-565 DOI:10.1134/S1560354717050069