English

Stable arcs connecting polar cascades on a torus

Dynamical Systems 2020-12-03 v1

Abstract

In this paper, we obtain a solution to the 33rd Palis-Pugh problem for polar gradient-like diffeomorphisms on a two-dimensional torus, under the assumption that all non-wandering points are fixed and have a positive orientation type.

Keywords

Cite

@article{arxiv.2012.01140,
  title  = {Stable arcs connecting polar cascades on a torus},
  author = {E. V. Nozdrinova and O. V. Pochinka},
  journal= {arXiv preprint arXiv:2012.01140},
  year   = {2020}
}
R2 v1 2026-06-23T20:40:08.998Z