Instabilities of invariant quasi-periodic tori

We prove the existence of real analytic Hamiltonians with topologically unstable quasi-periodic invariant tori. Using various versions of our examples, we solve the following problems in the stability theory of analytic quasi-periodic motion:

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of the European Mathematical Society : JEMS 2022-01, Vol.24 (12), p.4363-4383
Hauptverfasser:	Farré, Gerard, Fayad, Bassam
Format:	Artikel
Sprache:	eng
Schlagworte:	Birkhoff normal forms Hamiltonian systems KAM theory nbsp Nekhoroshev theory quasi-periodic invariant tori stability
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Beschreibung
Zusammenfassung:	We prove the existence of real analytic Hamiltonians with topologically unstable quasi-periodic invariant tori. Using various versions of our examples, we solve the following problems in the stability theory of analytic quasi-periodic motion:
ISSN:	1435-9855 1435-9863 1435-9863
DOI:	10.4171/jems/1206