Partial hyperbolicity far from homoclinic bifurcations

Details Partial hyperbolicity far from homoclinic bifurcations Partial hyperbolicity far from homoclinic bifurcations

2008-09-29

arxiv.org/abs/0809.4965v1

Mathematics

Dynamical Systems

Scientific paper

We prove that any diffeomorphism of a compact manifold can be C^1-approximated by a diffeomorphism which exhibits a homoclinic bifurcation (a homoclinic tangency or a heterodimensional cycle) or by a diffeomorphism which is partially hyperbolic (its chain-recurrent set splits into partially hyperbolic pieces whose centre bundles have dimensions less or equal to two). We also study in a more systematic way the central models introduced in arXiv:math/0605387.

Affiliated with

Also associated with

No associations

Rating

Partial hyperbolicity far from homoclinic bifurcations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Partial hyperbolicity far from homoclinic bifurcations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partial hyperbolicity far from homoclinic bifurcations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-49253