Nonautonomous systems with transversal homoclinic structures under discretization

Abstract

Abstract We consider homoclinic orbits in continuous time nonautonomous dynamical systems. Unlike the autonomous case, stable and unstable fiber bundles that generalize stable and unstable manifolds, typically intersect transversally in isolated points. In the first part, we establish persistence and error estimates for one–step discretizations of… (More)

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Cite this paper

@inproceedings{GirodNonautonomousSW, title={Nonautonomous systems with transversal homoclinic structures under discretization}, author={Alina Girod and Thorsten H{\"u}ls} }