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• #### Exponentially small splitting of separatrices under fast quasiperiodic forcing ﻿

(1997)
Article
Open Access
We consider fast quasiperiodic perturbations with two frequencies $(1/\varepsilon,\gamma/\varepsilon)$ of a pendulum, where $\gamma$ is the golden mean number. The complete system has a two-dimensional invariant ...
• #### Lower and upper bounds for the splitting of separatrices of the pendulum under a fast quasiperiodic forcing ﻿

(1997)
Article
Open Access
Quasiperiodic perturbations with two frequencies $(1/\varepsilon ,\gamma /\varepsilon )$ of a pendulum are considered, where $\gamma$ is the golden mean number. We study the splitting of the three-dimensional invariant ...
• #### Splitting of separatrices for (fast) quasiperiodic forcing ﻿

(1996)
Article
Open Access
We consider fast quasiperiodic perturbations of a pendulum with two frequencies $(1,\gamma)$, where $\gamma$ is the golden mean number. For small perturbations such that its Fourier coefficients (the ones associated to ...