Isolated elliptic fixed points for smooth Hamiltonians

Fayad, B.; Saprykina, Maria

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Isolated elliptic fixed points for smooth Hamiltonians

Fayad, B.

Saprykina, Maria

KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).

2017 (engelsk)Inngår i: Contemporary Mathematics, ISSN 0271-4132, E-ISSN 1098-3627, Vol. 692, s. 67-82Artikkel i tidsskrift (Fagfellevurdert) 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.

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American Mathematical Society (AMS), 2017. Vol. 692, s. 67-82

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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

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Tilgjengelig fra: 2017-10-24 Laget: 2017-10-24 Sist oppdatert: 2024-03-18bibliografisk kontrollert

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Fayad, B.

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