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Hyperbolicity and stability for Hamiltonian flows

Title
Hyperbolicity and stability for Hamiltonian flows
Type
Article in International Scientific Journal
Year
2013
Authors
Mario Bessa
(Author)
Other
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Jorge Rocha
(Author)
FCUP
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Maria Joana Torres
(Author)
Other
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Journal
Vol. 254
Pages: 309-322
ISSN: 0022-0396
Publisher: Elsevier
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-002-288
Abstract (EN): We prove that a Hamiltonian star system, defined on a 2d-dimensional symplectic manifold M (d >= 2), is Anosov. As a consequence we obtain the proof of the stability conjecture for Hamiltonians. This generalizes the 4-dimensional results in Bessa et al. (2010) [5].
Language: English
Type (Professor's evaluation): Scientific
Contact: bessa@fc.up.pt; jrocha@fc.up.pt; jtorres@math.uminho.pt
No. of pages: 14
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