arXiv Open Access 1996

The Lyapunov exponent in the Sinai billiard in the small scatterer limit

Per Dahlqvist

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Abstrak

We show that Lyapunov exponent for the Sinai billiard is $λ= -2\log(R)+C+O(R\log^2 R)$ with $C=1-4\log 2+27/(2π^2)\cdot ζ(3)$ where $R$ is the radius of the circular scatterer. We consider the disk-to-disk-map of the standard configuration where the disks is centered inside a unit square.

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Per Dahlqvist

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APA MLA BibTeX

Dahlqvist, P. (1996). The Lyapunov exponent in the Sinai billiard in the small scatterer limit. https://arxiv.org/abs/chao-dyn/9601007

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Informasi Jurnal

Tahun Terbit: 1996
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓