Fractal dimension of space-time chaos

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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11 page, 2 figures

Scientific paper

10.1103/PhysRevLett.82.3034

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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