Isolated elliptic fixed points for smooth Hamiltonians
2017 (English)In: Contemporary Mathematics, ISSN 0271-4132, E-ISSN 1098-3627, Vol. 692, p. 67-82Article in journal (Refereed) Published
Abstract [en]
We construct on ℝ2d, for any d ≥ 3, smooth Hamiltonians having an elliptic equilibrium with an arbitrary frequency, that is not accumulated by a positive measure set of invariant tori. For d ≥ 4, the Hamiltonians we construct have not any invariant torus of dimension d. Our examples are obtained by a version of the successive conjugation scheme à la Anosov-Katok.
Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2017. Vol. 692, p. 67-82
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-216742DOI: 10.1090/conm/692/13924Scopus ID: 2-s2.0-85029553747OAI: oai:DiVA.org:kth-216742DiVA, id: diva2:1152314
Note
QC 20171024
2017-10-242017-10-242024-03-18Bibliographically approved