English

Non-differentiability of Alpha function at the boundary of flat

Dynamical Systems 2013-10-28 v4

Abstract

With the variational method introduced by J Mather, we construct a mechanical Hamiltonian system whose Alpha function has a flat F and is non-differentiable at the boundary of F. In the case of two degrees of freedom, we prove this phenomenon is stable under perturbations of Mane's

Keywords

Cite

@article{arxiv.1209.1166,
  title  = {Non-differentiability of Alpha function at the boundary of flat},
  author = {Zhang Jianlu},
  journal= {arXiv preprint arXiv:1209.1166},
  year   = {2013}
}

Comments

This paper has been replaced

R2 v1 2026-06-21T22:00:39.074Z