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Consistent Lyapunov exponent Estimation for one-dimensional dynamical systems
Authors:Salim?Lardjane  author-information"  >  author-information__contact u-icon-before"  >  mailto:lardjane@ensai.fr"   title="  lardjane@ensai.fr"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Laboratoire de Statistique et Modélisation ENSAI, Université de Bretagne Sud & CREST CREST, Rue Blaise Pascal, 35170 Bruz, France
Abstract:Summary  The author proves the consistency of a nearest neighbor estimator of the Lyapunov exponent for a general class of one-dimensional ergodic dynamical systems. The author shows that this estimator has good practical properties on a set of simulations.
Keywords:Dynamical Systems  Chaos  Ergodicity  Lyapunov Exponent  Nearest Neighbors Estimation
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