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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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.