Chaotic Dynamics of Coherent Structures

  title={Chaotic Dynamics of Coherent Structures},
  author={Larry Sirovich},
A variety of chaotic flows evolving in relatively high-dimensional spaces are considered. It is shown through the use of an optimal choice of basis functions, which are a consequence of the Karhunen-Loeve procedure, that an accurate description can be given in a relatively low-dimensional space. Particular examples of this procedure, which are presented, are the Ginzburg-Landau equation, turbulent convection in an unbounded domain and turbulent convection in a bounded domain.