English

Fixed points, bounded orbits and attractors of planar flows

Dynamical Systems 2018-02-19 v1

Abstract

In this paper we provide a dynamical characterization of isolated invariant continua which are global attractors for planar dissipative flows. As a consequence, a sufficient condition for an isolated invariant continuum to be either an attractor or a repeller is derived for general planar flows.

Keywords

Cite

@article{arxiv.1802.05726,
  title  = {Fixed points, bounded orbits and attractors of planar flows},
  author = {Héctor Barge and José M. R. Sanjurjo},
  journal= {arXiv preprint arXiv:1802.05726},
  year   = {2018}
}

Comments

8 pages

R2 v1 2026-06-23T00:23:57.049Z