arXiv Analytics

Sign in

arXiv:1612.03535 [math.DS]AbstractReferencesReviewsResources

Properties of compact center-stable submanifolds

Andy Hammerlindl

Published 2016-12-12Version 1

We show that a partially hyperbolic system can have at most a finite number of compact center-stable submanifolds. We also give sufficient conditions for these submanifolds to exist and consider the question of whether they can intersect each other.

Comments: 16 pages, 2 figures
Categories: math.DS
Subjects: 37D30, 37C70
Related articles: Most relevant | Search more
arXiv:math/0303310 [math.DS] (Published 2003-03-25)
Sufficient conditions for robustness of attractors
arXiv:0901.2201 [math.DS] (Published 2009-01-15)
Sufficient conditions under which a transitive system is chaotic
arXiv:1010.3257 [math.DS] (Published 2010-10-15)
Sets of vector fields with various properties of shadowing of pseudotra-jectories

Links

Toolbox