Computation of whiskered invariant tori and their associated manifolds: New fast algorithms
Computation of whiskered invariant tori and their associated manifolds: New fast algorithms
We present efficient (low storage requirement and lowoperation count) algorithms for the computation of several invariantobjects for Hamiltonian dynamics, namely KAM tori (i.ediffeomorphic copies of tori such that the motion on them isconjugated to a rigid rotation) both Lagrangian tori(of maximal dimension) and whiskered tori (i.e.tori with hyperbolic directions which, …