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1. Quantitative hyperbolicity estimates in one-dimensional dynamics.

Author

S Day, H Kokubu, S Luzzatto, K Mischaikow, H Oka, and P Pilarczyk

Subjects
LYAPUNOV exponents, MATHEMATICAL models, MATHEMATICAL mappings, GRAPH algorithms, EXPONENTIAL functions
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2008
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