Fractal dimension of space-time chaos
arXiv:chao-dyn/9812025 · doi:10.1103/PhysRevLett.82.3034
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.
11 page, 2 figures