Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map
2012 (English)In: Chaos, ISSN 1054-1500, E-ISSN 1089-7682, Vol. 22, no 3, 033114- p.Article in journal (Refereed) Published
We perform a numerical study of the breakdown of hyperbolicity of quasi-periodic attractors in the dissipative standard map. In this study, we compute the quasi-periodic attractors together with their stable and tangent bundles. We observe that the loss of normal hyperbolicity comes from the collision of the stable and tangent bundles of the quasi-periodic attractor. We provide numerical evidence that, close to the breakdown, the angle between the invariant bundles has a linear behavior with respect to the perturbing parameter. This linear behavior agrees with the universal asymptotics of the general framework of breakdown of hyperbolic quasi-periodic tori in skew product systems.
Place, publisher, year, edition, pages
2012. Vol. 22, no 3, 033114- p.
Research subject Mathematics with specialization in Applied Mathematics
IdentifiersURN: urn:nbn:se:uu:diva-178589DOI: 10.1063/1.4737205ISI: 000309427500014OAI: oai:DiVA.org:uu-178589DiVA: diva2:542411