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Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows

Title
Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows
Type
Article in International Scientific Journal
Year
2009
Authors
Mario Bessa
(Author)
Other
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Jorge Rocha
(Author)
FCUP
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Journal
Vol. 247
Pages: 2913-2923
ISSN: 0022-0396
Publisher: Elsevier
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-003-E10
Abstract (EN): We prove that a volume-preserving three-dimensional flow can be C(1)-approximated by a volume-preserving Anosov flow or else by another volume-preserving flow exhibiting a homoclinic tangency. This proves the conjecture of Palis for conservative 3-flows and with respect to the C(1)-topology.
Language: English
Type (Professor's evaluation): Scientific
Contact: bessa@fc.up.pt; jrocha@fc.up.pt
No. of pages: 11
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