A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps

Hüls T. A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. 2016;15(2):923-951.Stable fiber bundles are the nonautonomous analogue of stable manifolds, and these objects provide valuable information on the underlying dynamics. We propose an algorithm for their computation that applies to a wide class of models, including noninvertible and nonautonomous discrete time systems. Precise error estimates are provided, and fiber bundles are computed for several examples