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arXiv · 1102.3141

A large-deviation approach to space-time chaos

Pavel V. Kuptsov·Antonio Politi
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Abstract

In this Letter we show that the analysis of Lyapunov-exponents fluctuations contributes to deepen our understanding of high-dimensional chaos. This is achieved by introducing a Gaussian approximation for the large deviation function that quantifies the fluctuation probability. More precisely, a diffusion matrix $\bf D$ (a dynamical invariant itself) is measured and analysed in terms of its principal components. The application of this method to three (conservative, as well as dissipative) models, allows: (i) quantifying the strength of the effective interactions among the different degrees of freedom; (ii) unveiling microscopic constraints such as those associated to a symplectic structure; (iii) checking the hyperbolicity of the dynamics.

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Pavel V. Kuptsov, Antonio Politi. 2011-08-03. A large-deviation approach to space-time chaos. https://doi.org/10.1103/physrevlett.107.114101

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