A globally stable attractor that is locally unstable everywhere

We construct two examples of invariant manifolds that despite being locally unstable at every point in the transverse direction are globally stable. Using numerical simulations we show that these invariant manifolds temporarily repel nearby trajectories but act as global attractors. We formulate an...

Full description

Bibliographic Details
Main Authors: Phanindra Tallapragada, Senbagaraman Sudarsanam
Format: Article
Language:English
Published: AIP Publishing LLC 2017-12-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5016214