A Braided View of a Knotty Story

M A NATIELLO; H G SOLARI

Topology and Dynamics of Chaos

World Publisher

Año: 2013; p. 149 - 168

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 and ultimately reveal properties of the original dynamical system. We review this characterisation with some examples from laser dynamics.