S Day et al 2008 Nonlinearity 21 1967 doi:10.1088/0951-7715/21/9/002
Quantitative hyperbolicity estimates in one-dimensional dynamics
S Day1, H Kokubu2, S Luzzatto3, K Mischaikow4, H Oka5 and P Pilarczyk6
Show affiliationsRecommended by Y G Kevrekidis
We develop a rigorous computational method for estimating the Lyapunov exponents in uniformly expanding regions of the phase space for one-dimensional maps. Our method uses rigorous numerics and graph algorithms to provide results that are mathematically meaningful and can be achieved in an efficient way.
- PACS
- MSC
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37L45 Hyperbolicity; Lyapunov functions
37D25 Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
- Subjects
- Dates
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Issue 9 (September 2008)
Received 29 November 2007, in final form 16 June 2008
Published 11 July 2008
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Quantitative hyperbolicity estimates in one-dimensional dynamics
S Day et al 2008 Nonlinearity 21 1967
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The relativistic redshift with 3×10−17 uncertainty at NIST, Boulder, Colorado, USA
Nikolaos K Pavlis and Marc A Weiss 2003 Metrologia 40 66
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