A family of models with blue sky catastrophes of different classes

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...

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Veröffentlicht in:	Regular & chaotic dynamics 2017-09, Vol.22 (5), p.551-565
Hauptverfasser:	Kuptsov, Pavel V., Kuznetsov, Sergey P., Stankevich, Nataliya V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Bifurcations Dynamical Systems and Ergodic Theory Mathematics Mathematics and Statistics Quasi-Periodic Oscillations Statistical analysis
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Zusammenfassung:	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.
ISSN:	1560-3547 1560-3547 1468-4845
DOI:	10.1134/S1560354717050069