40 citations · 127 across the 23 of their papers we have counts for
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Examples of integrable and non-integrable systems on singular symplectic manifolds
Amadeu Delshams, Anna Kiesenhofer, Eva Miranda
We present a collection of examples borrowed from celestial mechanics and projective dynamics. In these examples symplectic structures with singularities arise naturally from regul…
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…
Global instability in the elliptic restricted three body problem
Amadeu Delshams, Vadim Kaloshin, Abraham de la Rosa +1
The restricted planar elliptic three body problem (RPETBP) describes the motion of a massless particle (a comet) under the gravitational field of two massive bodies (the primaries,…