1986•Physical Review ARequires access
Simultaneous rational approximations in the study of dynamical systems
Seunghwan Kim, Stellan S. Ostlund
Open publisher page 89 citations
Abstract
We discuss rational approximations to a single irrational number and pairs of mutually irrational irrational numbers and show that the binary ``Farey'' tree organization of the rationals extends naturally to a binary organization of pairs of rationals with a common denominator. There are obvious applications to theory and experiments in dynamical systems.