Determinating Lyapunov exponents in deterministic dynamical systems
Delecroix, Michel ; Guegan, Dominique ; Léorat, Guillaume
HAL, halshs-00196413 / Harvested from HAL
Text on HAL
In this paper, we estimate the Lyapunov exponent using an adapted nearest neighbord method. We justify our methodology using Monte Carlo methods, on the logistic function and the r-adic map.
Publié le : 1997-07-05
Classification:  Statistical simulation methods,  Lyapunov exponent,  Monte Carlo methods,  [SHS.ECO]Humanities and Social Sciences/Economies and finances,  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR],  [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST],  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{halshs-00196413,
     author = {Delecroix, Michel and Guegan, Dominique and L\'eorat, Guillaume},
     title = {Determinating Lyapunov exponents in deterministic dynamical systems},
     journal = {HAL},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/halshs-00196413}
}

Delecroix, Michel; Guegan, Dominique; Léorat, Guillaume. Determinating Lyapunov exponents in deterministic dynamical systems. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/halshs-00196413/