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Moscow Mathematical Journal, 2005, Volume 5, Number 1, Pages 283–293
DOI: https://doi.org/10.17323/1609-4514-2005-5-1-283-293 (Mi mmj194) 		 
This article is cited in 4 scientific papers (total in 4 papers)

An example of a resonant homoclinic loop of infinite cyclicity

D. V. Turaev

Ben-Gurion University of the Negev
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DOI: https://doi.org/10.17323/1609-4514-2005-5-1-283-293
Abstract: We describe a codimension-3 bifurcation surface in the space of $C^r$-smooth ($r\ge 3$) dynamical systems (with phase space of dimension 4 or higher) having an attractive two-dimensional invariant manifold with an infinite sequence of periodic orbits of alternating stability which converge to a homoclinic loop.
Key words and phrases: Codimension-3 homoclinic bifurcation, invariant manifold, swallow tail, limit cycle.
Received: April 7, 2003
Bibliographic databases:
MSC: 37G20, 34C07, 34C37
Language: English
Citation: D. V. Turaev, “An example of a resonant homoclinic loop of infinite cyclicity”, Mosc. Math. J., 5:1 (2005), 283–293
Citation in format AMSBIB
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\by D.~V.~Turaev
\paper An example of a~resonant homoclinic loop of infinite cyclicity
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\vol 5
\issue 1
\pages 283--293
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    • This publication is cited in the following 4 articles:
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