Dynamics of shear homeomorphisms of tori and the bestvina-handel algorithm

Tali Pinsky, Bronisław Wajnryb

Research output: Contribution to journalArticlepeer-review


Sharkovskiǐ proved that the existence of a periodic orbit of period which is not a power of 2 in a one-dimensional dynamical system implies existence of infinitely many periodic orbits. We obtain an analog of Sharkovskiǐ's theorem for periodic orbits of shear homeomorphisms of the torus. This is done by obtaining a dynamical order relation on the set of simple orbits and simple pairs. We then use this order relation for a global analysis of a quantum chaotic physical system called the kicked accelerated particle.

Original languageEnglish
Pages (from-to)119-150
Number of pages32
JournalTopological Methods in Nonlinear Analysis
Issue number1
StatePublished - 2012


  • Dynamical systems
  • Forcing
  • Periodic orbits
  • Torus homeomorphisms

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


Dive into the research topics of 'Dynamics of shear homeomorphisms of tori and the bestvina-handel algorithm'. Together they form a unique fingerprint.

Cite this