The topological reconstruction of forced oscillators

  title={The topological reconstruction of forced oscillators},
  author={Hern{\'a}n G. Solari and Mario A. Natiello},
Periodically forced oscillators are among the simplest dynamical systems capable to display chaos. They can be described by the variables position and velocity, together with the phase of the force. Their phasespace corresponds therefore to R × S. The organization of the periodic orbits can be displayed with braids having only positive crossings. Topological characterization of dynamical systems actually began to be explored in physics on this family of problems. In this work we show that, in… CONTINUE READING