The Dynamical Dimension of Defects in Spatiotemporal Chaos

Abstract

Using a new time-dependent measure, we demonstrate for the first time that each defect in a representative defect-mediated spatiotemporally chaotic system is associated with one to two degrees of dynamical freedom. Furthermore, we show that not all dynamical degrees of freedom are related to the defects; additional degrees of freedom are due to underlying phase turbulence. These results yield a deeper understanding of the dynamical role of defects and provide hope that these complicated systems might be reduced to simpler descriptions.