Potential wells with a unique brake orbit. Counterexamples to a conjecture by H. Seifert

Details Potential wells with a unique brake orbit. Counterexamples to a conjecture by H. Seifert Potential wells with a unique brake orbit. Counterexamples to a conjecture by H. Seifert

2012-03-23

arxiv.org/abs/1203.5198v1

Mathematics

Dynamical Systems

LaTeX, 25 pages, 2 figures

Scientific paper

In this paper we prove the existence of real-analytic natural Hamiltonian systems - i.e. where H(q,p)=T(q,p)+V(q) in the 2N-dimensional real space, where N is any integer greater than 1 - with non critical energy levels E for the potential V such that the sublevel E of V is homeomorphic to the N-dimensional disk, and that only one brake orbit of energy E exists. A famous conjecture formulated by H. Seifert in 1948 claimed the existence of at least N distinct brake orbits for this situation.

Affiliated with

Also associated with

No associations

Rating

Potential wells with a unique brake orbit. Counterexamples to a conjecture by H. Seifert 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 Potential wells with a unique brake orbit. Counterexamples to a conjecture by H. Seifert, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Potential wells with a unique brake orbit. Counterexamples to a conjecture by H. Seifert will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-471854