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arXiv · chao-dyn/9812025

Fractal dimension of space-time chaos

Antonio Politi·Annette Witt
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Abstract

A class of simplified measures is constructed to capture the key features of generic spatio-temporally chaotic systems. A combined analytical and numerical investigation allows us to extablish the scaling beahviour of the fractal dimension in open systems. Our results improve a previous conjecture and, what is more important, furnish a clear framework for both numerical and analytical checks of the underlying assumptions.

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Antonio Politi, Annette Witt. 1998-12-17. Fractal dimension of space-time chaos. https://doi.org/10.1103/physrevlett.82.3034

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