Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets

A. M. Mancho (1) , D. Small (1) , S. Wiggins (1)

1 School of Mathematics

In this paper, we describe a unified algorithm for locating and computing hyperbolic trajectories, and then computing their stable and unstable manifolds, for finite time velocity fields in the form of a data set defined on a space-time grid. The algorithm is applied to a turbulent regime of a quasigeostrophic wind-driven double gyre in a rectangular domain.

Domaines: Cosmologie et astrophysique extra-galactique [astro-ph.CO]; Astrophysique [astro-ph]; Sciences de la Terre

A. M. Mancho, D. Small, S. Wiggins. Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets. Nonlinear Processes in Geophysics, 2004, 11 (1), pp.17-33. ⟨hal-00302285⟩