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Nataliya Stankevich

410054, Saratov, Politehnicheskaya str., 77
Yuri Gagarin State Technical University of Saratov


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
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

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