Aubry sets vs Mather sets in two degrees of freedom

Details Aubry sets vs Mather sets in two degrees of freedom Aubry sets vs Mather sets in two degrees of freedom

2008-03-18

arxiv.org/abs/0803.2647v2

Calculus of Variations and Partial Differential Equations Volume 42 (2011), Numbers 3-4, 429-460

Mathematics

Dynamical Systems

Revised and expanded version. New proof of Lemma 2.3 (formerly Lemma 14)

Scientific paper

10.1007/s00526-011-0393-z

We study autonomous Tonelli Lagrangians on closed surfaces. We aim to clarify
the relationship between the Aubry set and the Mather set, when the latter
consists of periodic orbits which are not fixed points. Our main result says
that in that case the Aubry set and the Mather set almost always coincide.

Affiliated with

Also associated with

No associations

Rating

Aubry sets vs Mather sets in two degrees of freedom 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 Aubry sets vs Mather sets in two degrees of freedom, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Aubry sets vs Mather sets in two degrees of freedom will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-638546