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.
The work of SPK and NVS including the model formulation and its qualitative and numerical analysis (Sections 2–5) was supported by RSF grant № 17-12-01008. The work of PVK on Lyapunov analysis and hyperbolicity verification (Section 6) was supported by RFBR grant № 16-02-00135.
Citation:
Pavel V. Kuptsov, Sergey P. Kuznetsov, Nataliya V. Stankevich, “A Family of Models with Blue Sky Catastrophes of Different Classes”, Regul. Chaotic Dyn., 22:5 (2017), 551–565
\Bibitem{KupKuzSta17}
\by Pavel V. Kuptsov, Sergey P. Kuznetsov, Nataliya V. Stankevich
\paper A Family of Models with Blue Sky Catastrophes of Different Classes
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 5
\pages 551--565
\mathnet{http://mi.mathnet.ru/rcd275}
\crossref{https://doi.org/10.1134/S1560354717050069}
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Linking options:
https://www.mathnet.ru/eng/rcd275
https://www.mathnet.ru/eng/rcd/v22/i5/p551
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