The Lyapunov spectrum as the Newton method

Godofredo Iommi

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 9, 2848-2852

Abstract: For a class of dynamical systems, the cookie-cutter maps, we prove that the Lyapunov spectrum coincides with the map given by the Newton–Raphson method applied to the derivative of the pressure function.

Keywords: Lyapunov spectrum; Newton–Raphson method; Thermodynamic formalism (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:9:p:2848-2852

DOI: 10.1016/j.physa.2011.12.058

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