title: Reducing or enhancing chaos using periodic orbits.
abstract: A method to reduce or enhance chaos in Hamiltonian flows with two degrees of freedom is discussed. This method is based on finding a suitable perturbation of the system such that the stability of a set of periodic orbits changes (local bifurcations). Depending on the values of the residues, reflecting their linear stability properties, a set of invariant tori is destroyed or created in the neighborhood of the chosen periodic orbits. An application on a paradigmatic system, a forced pendulum, illustrates the method.
authors.affiliation: Centre de Physique Théorique, CNRS Luminy, Case 907, F-13288 Marseille cedex 09, France.
authors.forename: R
authors.initials: R
authors.lastname: Bachelard
authors.forename: C
authors.initials: C
authors.lastname: Chandre
authors.forename: X
authors.initials: X
authors.lastname: Leoncini