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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.
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This is the limit for the models discussed in this paper. As for other models, more generic double scaling of t t and the number of degrees of freedom might be needed. See Discussions
Cited in the paper.
Similar numerical experiments have been performed to a certain disorder system in Ahlers2001 and Patra2016 . There are two important differences from our work: they studied non-chaotic parameter region of the theory (more precisely, one of the parameter choice in Patra2016 is chaotic due to the 1 / N 1/N -correction), and they have considered different limit from ours: t → ∞ t\to\infty for each fixed system size. Note that, in their case, statistical analysis can be performed by varying the disorder parameters. Interestingly, the latter observed a reasonable agreement with RMT in certain parameter regions
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M. Hanada, H. Shimada and M. Tezuka, in progress
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D.-Z. Liu, D. Wang, and L. Zhang, Ann. Inst. H. Poincaré Probab. Statist. 52
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