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Regular and Chaotic Dynamics, 2006, Volume 11, Issue 2, Pages 311–318
DOI: https://doi.org/10.1070/RD2006v011n02ABEH000354 (Mi rcd677) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the 70th birthday of L.P. Shilnikov

Transversality and local inverse shadowing

S. Yu. Pilyugin

Faculty of Mathematics and Mechanics, Saint Petersburg State University, University av., 28, 198504 Saint Petersburg, Russia
Citations (1)
DOI: https://doi.org/10.1070/RD2006v011n02ABEH000354
Abstract: The inverse shadowing property of a dynamical system means that, given a family of approximate trajectories, for any real trajectory we can find a close approximate trajectory from the given family. This property is of interest when we study dynamical systems numerically. In this paper, we describe some relations between the transversality of a heteroclinic trajectory of a diffeomorphism and the local inverse shadowing property for this heteroclinic trajectory.
Keywords: shadowing, heteroclinic trajectory, transversality.
Received: 14.07.2005
Accepted: 08.11.2005
Bibliographic databases:
Document Type: Article
MSC: 37C50
Language: English
Citation: S. Yu. Pilyugin, “Transversality and local inverse shadowing”, Regul. Chaotic Dyn., 11:2 (2006), 311–318
Citation in format AMSBIB
\Bibitem{Pil06}
\by S. Yu. Pilyugin
\paper Transversality and local inverse shadowing
\jour Regul. Chaotic Dyn.
\yr 2006
\vol 11
\issue 2
\pages 311--318
\mathnet{http://mi.mathnet.ru/rcd677}
\crossref{https://doi.org/10.1070/RD2006v011n02ABEH000354}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2245086}
\zmath{https://zbmath.org/?q=an:1164.37311}
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    • This publication is cited in the following 1 articles:
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