NORMAL LINEAR STABILITY OF QUASI-PERIODIC TORI IN THE HAMILTONIAN 1 : -1 RESONANCE CASE

H. W. Broer; J. Hoo; V. Naudot

doi:10.1142/9789812702067_0118

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NORMAL LINEAR STABILITY OF QUASI-PERIODIC TORI IN THE HAMILTONIAN 1 : -1 RESONANCE CASE

H. W. Broer, J. Hoo and V. Naudot

EQUADIFF 2003, pp.708-713

WORLD SCIENTIFIC

Proceedings of the International Conference on Differential Equations

02/2005

DOI: https://doi.org/10.1142/9789812702067_0118

Abstract

Quasiperiodicity (Org.: H. Hanßmann and H. Broer)

We consider the persistence problem of quasi-periodic, Floquet, Diophantine invariant tori in Hamiltonian vector fields. The standard KAM theory of [1, 2] deals with the case where the Floquet matrix has simple eigenvalues. In the present paper this result is generalized to the case of multiple eigenvalues, in particular to the case of normal 1 : -1 resonance.

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Title: NORMAL LINEAR STABILITY OF QUASI-PERIODIC TORI IN THE HAMILTONIAN 1 : -1 RESONANCE CASE
Creators - without role: H. W. Broer - University of Groningen
J. Hoo - University of Groningen
V. Naudot - University of Groningen
Contributors - without role: Freddy Dumortier - Limburg University Centre
Henk Broer - University of Groningen
Jean Mawhin - Pontifícia Universidade Católica de São Paulo
Andre Vanderbauwhede - University of Ghent
Sjoerd Verduyn Lunel - University of Leiden
Publication Details: EQUADIFF 2003, pp.708-713
Conference: Proceedings of the International Conference on Differential Equations
Publisher: WORLD SCIENTIFIC
Number of pages: 6
Identifiers: 9911614809846
Academic Unit: ISTD Pillar
Language: English
Resource Type: Book chapter

NORMAL LINEAR STABILITY OF QUASI-PERIODIC TORI IN THE HAMILTONIAN 1 : -1 RESONANCE CASE

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