A Braided View of a Knotty Story

Mario Natiello, Hernán G Solari

Forskningsoutput: Kapitel i bok/rapport/Conference proceedingKapitel samlingsverkForskningPeer review


Periodic orbits of 3-d dynamical systems admitting a Poincaré section can
be described as braids. This characterisation can be transported to the
Poincaré section and Poincaré map, resulting in the braid type.
Information from braid types allows to estimate bounds for the topological
entropy of the map while revealing detailed orbit information from the
original system, such as the orbits that are necessarily present along with
the given one(s) and their organisation. We review this characterisation
with some examples --from a user-friendly perspective--,
focusing on systems whose Poincaré section is homotopic to a disc.
Titel på värdpublikationTopology and Dynamics of Chaos
RedaktörerChristophe Letellier, Robert Gilmore
FörlagWorld Scientific Publishing
ISBN (tryckt)9789814434850 (print), 978-981-4434-87-4
StatusPublished - 2013

Ämnesklassifikation (UKÄ)

  • Matematik


Utforska forskningsämnen för ”A Braided View of a Knotty Story”. Tillsammans bildar de ett unikt fingeravtryck.

Citera det här