title: Newton's descent method for the determination of invariant tori.
abstract: We formulate a fictitious-time-flow equation which drives an initial guess torus to a torus invariant under a given dynamics, provided such a torus exists. The method is general and applies in principle to continuous time flows and discrete time maps in arbitrary dimension and to both Hamiltonian and dissipative systems.
authors.affiliation: Center for Nonlinear Science, School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332-0430, USA.
authors.forename: Y
authors.initials: Y
authors.lastname: Lan
authors.forename: C
authors.initials: C
authors.lastname: Chandre
authors.forename: P
authors.initials: P
authors.lastname: Cvitanović