arXiv:1410.5704 [math.DS]AbstractReferencesReviewsResources
On bifurcations of area-preserving and non-orientable maps with quadratic homoclinic tangencies
Amadeu Delshams, Marina Gonchenko, Sergey V. Gonchenko
Published 2014-10-21Version 1
We study bifurcations of non-orientable area-preserving maps with quadratic homoclinic tangencies. We study the case when the maps are given on non-orientable two-dimensional surfaces. We consider one and two parameter general unfoldings and establish results related to the emergence of elliptic periodic orbits.
Comments: 17 pages, 7 figures
Categories: math.DS
Keywords: quadratic homoclinic tangencies, non-orientable maps, area-preserving, parameter general unfoldings, elliptic periodic orbits
Tags: journal article
Related articles: Most relevant | Search more
On dynamics and bifurcations of area-preserving maps with homoclinic tangencies
arXiv:1201.5357 [math.DS] (Published 2012-01-25)
Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps
arXiv:1403.3572 [math.DS] (Published 2014-03-14)
A dichotomy in area-preserving reversible maps