On the entropy of conservative flows

Details On the entropy of conservative flows On the entropy of conservative flows

2010-02-11

arxiv.org/abs/1002.2366v1

Mathematics

Dynamical Systems

10 pages

Scientific paper

We obtain a $C^1$-generic subset of the incompressible flows in a closed three-dimensional manifold where Pesin's entropy formula holds thus establishing the continuous-time version of \cite{T}. Moreover, in any compact manifold of dimension larger or equal to three we obtain that the metric entropy function and the integrated upper Lyapunov exponent function are not continuous with respect to the $C^1$ Whitney topology. Finally, we establish the $C^2$-genericity of Pesin's entropy formula in the context of Hamiltonian four-dimensional flows.

Affiliated with

Also associated with

No associations

Rating

On the entropy of conservative flows 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 On the entropy of conservative flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the entropy of conservative flows will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-68820