Creation of Homoclinic Tangencies in Hamiltonians by the Suspension of Poincaré Sections

Details Creation of Homoclinic Tangencies in Hamiltonians by the Suspension of Poincaré Sections Creation of Homoclinic Tangencies in Hamiltonians by the Suspension of Poincaré Sections

2011-07-21

arxiv.org/abs/1107.4286v1

Mathematics

Dynamical Systems

12 pages

Scientific paper

In this note we show that for any Hamiltonian defined on a symplectic 4-manifold M and any point p in M, there exists a C2-close Hamiltonian whose regular energy surface through p is either Anosov or it contains a homoclinic tangency. Our result is based on a general construction of Hamiltonian suspensions for given symplectomorphisms on Poincar\'e sections already known to yield similar properties.

Affiliated with

Also associated with

No associations

Rating

Creation of Homoclinic Tangencies in Hamiltonians by the Suspension of Poincaré Sections 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 Creation of Homoclinic Tangencies in Hamiltonians by the Suspension of Poincaré Sections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Creation of Homoclinic Tangencies in Hamiltonians by the Suspension of Poincaré Sections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-688064