A Family of Models with Blue Sky Catastrophes of Different Classes

    2017, Volume 22, Number 5, pp.  551-565

    Author(s): Kuptsov P. V., Kuznetsov S. P., Stankevich N. V.

    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, Volume 22, Number 5, pp. 551-565
    DOI: 10.1134/S1560354717050069



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