11 citations · 23 across the 4 of their papers we have counts for
4 papers
Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio
Amadeu Delshams, Marina Gonchenko, Pere Gutiérrez
The splitting of invariant manifolds of whiskered (hyperbolic) tori with two frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum, is…
Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio
Amadeu Delshams, Marina Gonchenko, Pere Gutiérrez
We study the exponentially small splitting of invariant manifolds of whiskered (hyperbolic) tori with two fast frequencies in nearly-integrable Hamiltonian systems whose hyperbolic…
Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type
Amadeu Delshams, Marina Gonchenko, Pere Gutiérrez
We study the splitting of invariant manifolds of whiskered tori with two frequencies in nearly-integrable Hamiltonian systems, such that the hyperbolic part is given by a pendulum.…
Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies
Amadeu Delshams, Marina Gonchenko, Pere Gutierrez
We study the splitting of invariant manifolds of whiskered tori with two or three frequencies in nearly-integrable Hamiltonian systems. We consider 2-dimensional tori with a freque…