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Regular and Chaotic Dynamics, 2017, Volume 22, Issue 5, Pages 551–565
DOI: https://doi.org/10.1134/S1560354717050069 (Mi rcd275) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A Family of Models with Blue Sky Catastrophes of Different Classes

Pavel V. Kuptsova, Sergey P. Kuznetsovb, Nataliya V. Stankevichac

a Yuri Gagrin State Technical University of Saratov, ul. Politehnicheskaya 77, Saratov, 410054 Russia
b Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, ul. Zelenaya 38, Saratov, 410019 Russia
c University of Jyväskylä, Mattilanniemi 2, FIN-40014, Finland
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DOI: https://doi.org/10.1134/S1560354717050069
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.
Keywords: dynamical system, blue sky catastrophe, quasi-periodic oscillations, hyperbolic chaos, Smale–Williams solenoid.
Funding agency Grant number
Russian Science Foundation 17-12-01008
Russian Foundation for Basic Research 16-02-00135
The work of SPK and NVS including the model formulation and its qualitative and numerical analysis (Sections 2–5) was supported by RSF grant ¹ 17-12-01008. The work of PVK on Lyapunov analysis and hyperbolicity verification (Section 6) was supported by RFBR grant ¹ 16-02-00135.
Received: 17.08.2017
Accepted: 08.09.2017
Bibliographic databases:
Document Type: Article
MSC: 34C28, 34C23, 37D20, 37E99, 37G15, 37G35
Language: English
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
Citation in format AMSBIB
\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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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85030184414}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:27
     
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