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Fractal dimension of space-time chaos

chao-dyn 2009-10-31 v1 Chaotic Dynamics

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.

Keywords

Cite

@article{arxiv.chao-dyn/9812025,
  title  = {Fractal dimension of space-time chaos},
  author = {Antonio Politi and Annette Witt},
  journal= {arXiv preprint arXiv:chao-dyn/9812025},
  year   = {2009}
}

Comments

11 page, 2 figures