title: Coherent structure analysis of spatiotemporal chaos
abstract: We introduce a measure to quantify spatiotemporal turbulence in extended systems. It is based on the statistical analysis of a coherent structure decomposition of the evolving system. Applied to a cellular excitable medium and a reaction-diffusion model describing the oxidation of CO on Pt(100), it reveals power-law scaling of the size distribution of coherent space-time structures for the state of spiral turbulence. The coherent structure decomposition is also used to define an entropy measure, which sharply increases in these systems at the transition to turbulence.
authors.affiliation: Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701, USA.
authors.initials: P
authors.lastname: Jung
authors.initials: J
authors.lastname: Wang
authors.initials: R
authors.lastname: Wackerbauer
authors.initials: K
authors.lastname: Showalter