arXiv Analytics

Sign in

arXiv:1111.4973 [math.DS]AbstractReferencesReviewsResources

Two-fold symmetric singularity

Alain Jacquemard, Marco Antonio Teixeira, Durval Jose Tonon

Published 2011-11-21, updated 2011-12-06Version 2

We explore some qualitative dynamics in the neighborhood of the $3-dimensional$ two-fold symmetric singularity. We study the existence of an one-parameter family of regular (pseudo) periodic orbits of such systems near a reversible two-fold singularity.

Comments: 13 pages with 4 figures
Categories: math.DS
Subjects: 37G40, 37J45, 37L20
Related articles: Most relevant | Search more
arXiv:1608.03144 [math.DS] (Published 2016-08-10)
The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere
arXiv:math/0511035 [math.DS] (Published 2005-11-02, updated 2006-03-06)
Logarithmic asymptotics for the number of periodic orbits of the Teichmueller flow on Veech's space of zippered rectangles
arXiv:math/9907003 [math.DS] (Published 1999-07-01, updated 2001-04-26)
Arithmetic and growth of periodic orbits