The Dynamical Dimension of Defects in Spatiotemporal Chaos

Details The Dynamical Dimension of Defects in Spatiotemporal Chaos The Dynamical Dimension of Defects in Spatiotemporal Chaos

1997-12-10

arxiv.org/abs/chao-dyn/9712009v1

Nonlinear Sciences

Chaotic Dynamics

3 figures

Scientific paper

10.1103/PhysRevLett.81.4120

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.

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