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On theC1Stability Conjecture for Flows

โœ Scribed by Lan Wen

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
974 KB
Volume
129
Category
Article
ISSN
0022-0396

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โœฆ Synopsis

We give a proof of the C 1 stability conjecture of Palis and Smale for flows, which has reduced to proving that C 1 structural stability implies Axiom A. The proof is based on the fundamental work of Liao and Man~e , and on the recent powerful C 1 connecting lemma of Hayashi.

๐Ÿ“œ SIMILAR VOLUMES

On Morse Conjecture for Flows on Closed
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โœ Habib Marzougui ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 110 KB

Let M be a closed orientable surface and let ฯ† be a C 1 -flow on M with set of singularities compact countable. In this paper, we prove the Morse conjecture for ฯ†: if ฯ† is topologically transitive then it is metrically transitive.