Singular separatrix splitting and the Melnikov method: An experimental study.
Splitting of separatrices in Hamiltonian systems with one and a half degrees of freedom.
Lower and upper bounds for the splitting of separatrices of a pendulum under a fast quasiperiodic forcing.
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: announcement of results.
Psi-series of quadratic vector fields on the plane.
Psi-series (i.e., logarithmic series) for the solutions of quadratic vector fields on the plane are considered. Its existence and convergence is studied, and an algorithm for the location of logarithmic singularities is developed. Moreover, the relationship between psi-series and non-integrability is stressed and in particular it is proved that quadratic systems with psi-series that are not Laurent series do not have an algebraic first integral. Besides, a criterion about non-existence of an analytic...
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