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Characteristic times in the standard map

Characteristic times in the standard map

We study and compare three characteristic times of the standard map: the Lyapunov time ${t}_{L}$, the Poincar\'e recurrence time ${t}_{r}$, and the stickiness (or escape) time ${t}_{st}$. The Lyapunov time is the inverse of the Lyapunov characteristic number ($L$) and in general is quite small. We find empirical relations for …