Splitting of separatrices for rapid degenerate perturbations of the classical pendulum

Inmaculada Baldomá, Teresa M. -Seara, Román Moreno

In this work we study the splitting distance of a rapidly perturbed pendulum $H(x,y,t)=\frac{1}{2}{y}^2+(\cos (x)-1)+\mu (\cos (x)-1)g\left(\frac{t}{\epsilon }\right)$ with $g(τ)=\sum_{…