title: Locating Pollicott-Ruelle resonances in chaotic dynamical systems: a class of numerical schemes.
abstract: A class of numerical methods to determine Pollicott-Ruelle resonances in chaotic dynamical systems is proposed. This is achieved by relating some existing procedures that make use of the Padé approximants, and interpolating exponentials to both the memory function techniques used in the theory of relaxation and the filter diagonalization method used in the harmonic inversion of time correlation functions. This relationship leads to a theoretical framework in which all these methods become equivalent and which allows for new and improved numerical schemes.
authors.affiliation: Departamento de Física Fundamental II, Universidad de La Laguna, 38205 Tenerife, Spain.
authors.forename: R
authors.initials: R
authors.lastname: Florido
authors.forename: J M
authors.initials: JM
authors.lastname: Martín-González
authors.forename: J M
authors.initials: JM
authors.lastname: Gomez Llorente