We study the splitting of invariant manifolds of whiskered tori with two frequencies in nearlyintegrable Hamiltonian systems, such that the hyperbolic part is given by a pendulum. We consider a 2-dimensional torus with a fast frequency vector !/ √ ", with ! = (1,) where is an irrational number of constant type, i.e. a number whose continued fraction has bounded
['Amadeu Delshams', 'Marina Gonchenko', 'Pere Gutiérrez']
Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type