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arXiv · 1702.06935

Universality in Chaos: Lyapunov Spectrum and Random Matrix Theory

Masanori Hanada·Hidehiko Shimada·Masaki Tezuka
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Abstract

We propose the existence of a new universality in classical chaotic systems when the number of degrees of freedom is large: the statistical property of the Lyapunov spectrum is described by Random Matrix Theory. We demonstrate it by studying the finite-time Lyapunov exponents of the matrix model of a stringy black hole and the mass deformed models. The massless limit, which has a dual string theory interpretation, is special in that the universal behavior can be seen already at t=0, while in other cases it sets in at late time. The same pattern is demonstrated also in the product of random matrices.

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Masanori Hanada, Hidehiko Shimada, Masaki Tezuka. 2018-03-12. Universality in Chaos: Lyapunov Spectrum and Random Matrix Theory. https://doi.org/10.1103/physreve.97.022224

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