Computing the Conjugacy of Invariant Tori for Volume-Preserving Maps
Computing the Conjugacy of Invariant Tori for Volume-Preserving Maps
In this paper we implement a numerical algorithm to compute codimension-one tori in three-dimensional, volume-preserving maps. A torus is defined by its conjugacy to rigid rotation, which is in turn given by its Fourier series. The algorithm employs a quasi-Newton scheme to find the Fourier coefficients of a truncation of …