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The Dynamical Dimension of Defects in Spatiotemporal Chaos

David A. Egolf
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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.

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David A. Egolf. 1997-12-10. The Dynamical Dimension of Defects in Spatiotemporal Chaos. https://doi.org/10.1103/physrevlett.81.4120

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