|
|||||
|
|
On Lyapunov exponent and sensitivity |
|
| Authors: | Christophe Abraham, G rard Biau,Benoî t Cadre |
| Affiliation: | a ENSAM-INRA, UMR Biométrie et Analyse des Systèmes, 2 Place Pierre Viala, 34060, Montpellier cedex 1, France;b Laboratoire de Statistique Théorique et Appliquée, Université Pierre et Marie Curie, Paris VI, 175 rue du Chevaleret, Boîte 158, 75013, Paris, France;c Laboratoire de Probabilités et Statistique, Université Montpellier II, Cc 051, Place Eugène Bataillon, 34095, Montpellier cedex 5, France |
| Abstract: | Sensitive dependence on initial conditions is widely understood as being the central idea of chaos. For a large class of transformations of the interval, we prove that positiveness of the Lyapunov exponent implies the sensitivity property. We also provide bounds for the sensitivity constant. |
| Keywords: | Chaos Sensitive dependence on initial conditions Lyapunov exponent Sensitivity constant |
| 本文献已被 ScienceDirect 等数据库收录！ | |